ELECTROMAGNETIC COUPLINGS OF HEAVY BARYONS AND PENTAQUARKS
Emmanuel Or?z-Pacheco
Instituto de Ciencias Nucleares, UNAM, México. Bijker R. Giachino A. Santopinto E.
May, 2019
ELECTROMAGNETIC COUPLINGS OF HEAVY BARYONS AND PENTAQUARKS Emmanuel - - PowerPoint PPT Presentation
ELECTROMAGNETIC COUPLINGS OF HEAVY BARYONS AND PENTAQUARKS Emmanuel Or?z-Pacheco Instituto de Ciencias Nucleares, UNAM, Mxico. Bijker R. Giachino A. Santopinto E. May, 2019 <latexit
Instituto de Ciencias Nucleares, UNAM, México. Bijker R. Giachino A. Santopinto E.
May, 2019
resonances (2019) [1] , (2018) [2], five new states (2017) [3] and in the same year the baryon with double c [4].
pentaquark states with quark content . Now in 2019 [6] with more sta5s5cs they obtain the following signals
2 [1] R. Aaij et al. (LHCb), Phys. Rev. LeT. 121, 072002. [2] R. Aaij et al. (LHCb), (2019),Phys. Rev LeT 122, 012001. [3] R. Aaij et al. (LHCb), Phys. Rev. LeT. 118, 182001 (2017). [4] R. Aaij et al. (LHCb) Phys. Rev. LeT. 119, 112001 (2017). [5] R. Aaij et al. (LHCb), Phys. Rev. LeT. 115, 072001 (2015). [6] R. Aaij et al. (LHCb), Phys. Rev. LeT. Accepted (2019).
Σb(6097)±
<latexit sha1_base64="RFEapl2kAqOWVsyaplmoOKsPkEM=">AB/HicbZDLSgMxFIbP1Fut9Eu3YQWoSKUGRdWd0U3LivaC3TGknTNjSZGZKMJT6KrpwoYhbH8Sdb2N6WjrD4GP/5zDOfmDmDOlHefbyqysrq1vZDdzW9s7u3v2/kFDRYktE4iHslWgBXlLKR1zTSnrVhSLAJOm8HwalJvPlCpWBTe6TSmvsD9kPUYwdpYHTv3bK+wJ2gdOZcVI7vVigjl10ys5UaBncORSrBe/kGQBqHfvL60YkETUhGOl2q4Ta3+EpWaE03HOSxSNMRniPm0bDLGgyh9Njx+jI+N0US+S5oUaTd3fEyMslEpFYDoF1gO1WJuY/9Xaie6d+yMWxomIZkt6iUc6QhNkBdJinRPDWAiWTmVkQGWGKiTV45E4K7+OVlaJyWXcM3Jo1LmCkLh1CAErhQgSpcQw3qQCFJ3iFN+vRerHerY9Za8az+Thj6zPH4X/lNo=</latexit><latexit sha1_base64="Phvj7bF4rd6GbxpfUo1TWRQFwM=">AB/HicbZDLSgMxFIYzXmu9jXbpJrQIFaHMuLC6K7pxWdFeoDMOmThiaZIckIQ6lP4d6NC0Xc+iDu+jaml4W2/hD4+M85nJM/TBhV2nHG1srq2vrGZm4rv72zu7dvHxw2VZxKTBo4ZrFsh0gRgVpaKoZaSeSIB4y0goH15N65FIRWNxr7OE+Bz1BI0oRtpYgV3w7miPoyAsnzuX1ZMHL+EwsEtOxZkKLoM7h1Kt6J0+j2tZPbC/vW6MU06Exgwp1XGdRPtDJDXFjIzyXqpIgvA9UjHoECcKH84PX4Ej43ThVEszRMaTt3fE0PElcp4aDo50n21WJuY/9U6qY4u/CEVSaqJwLNFUcqgjuEkCdilkmDNMgMIS2puhbiPJMLa5JU3IbiLX16G5lnFNXxr0rgCM+XAESiCMnBFdTADaiDBsAgAy/gDbxbT9ar9WF9zlpXrPlMAfyR9fUDj2mWYA=</latexit><latexit sha1_base64="Phvj7bF4rd6GbxpfUo1TWRQFwM=">AB/HicbZDLSgMxFIYzXmu9jXbpJrQIFaHMuLC6K7pxWdFeoDMOmThiaZIckIQ6lP4d6NC0Xc+iDu+jaml4W2/hD4+M85nJM/TBhV2nHG1srq2vrGZm4rv72zu7dvHxw2VZxKTBo4ZrFsh0gRgVpaKoZaSeSIB4y0goH15N65FIRWNxr7OE+Bz1BI0oRtpYgV3w7miPoyAsnzuX1ZMHL+EwsEtOxZkKLoM7h1Kt6J0+j2tZPbC/vW6MU06Exgwp1XGdRPtDJDXFjIzyXqpIgvA9UjHoECcKH84PX4Ej43ThVEszRMaTt3fE0PElcp4aDo50n21WJuY/9U6qY4u/CEVSaqJwLNFUcqgjuEkCdilkmDNMgMIS2puhbiPJMLa5JU3IbiLX16G5lnFNXxr0rgCM+XAESiCMnBFdTADaiDBsAgAy/gDbxbT9ar9WF9zlpXrPlMAfyR9fUDj2mWYA=</latexit><latexit sha1_base64="4sth8QgxBogZqQ2M+AFyhiOai4=">AB/HicbZC7TsMwFIYdrqXcAh1ZLCqkslQJA4WtgoWxCHqRmhA5rtNatZ3IdpCiqLwKCwMIsfIgbLwNbpsBWn7J0qf/nKNz/IcJo0o7zre1srq2vrFZ2ipv7+zu7dsHhx0VpxKTNo5ZLHshUoRQdqakZ6iSIh4x0w/H1tN59JFLRWNzrLCE+R0NBI4qRNlZgV7w7OuQoCGvnzmXj9MFLOAzsqlN3ZoL4BZQBYVagf3lDWKciI0Zkipvusk2s+R1BQzMil7qSIJwmM0JH2DAnGi/Hx2/ASeGcAo1iaJzScub8ncsSVynhoOjnSI7VYm5r/1fqpji78nIok1UTg+aIoZVDHcJoEHFBJsGaZAYQlNbdCPEISYW3yKpsQ3MUvL0PnrO4avnWqzasijhI4AsegBlzQAE1wA1qgDTDIwDN4BW/Wk/VivVsf89YVq5ipgD+yPn8Ac4CTUQ=</latexit>Ξb(6227)−
<latexit sha1_base64="2b+Ns9j4SjvmGMG8PIKtqCVCd8=">AB9XicbZDLSgMxFIbP1Fut6pLN6FqIhlpgvrsujGZQV7gc60ZNJMG5rJDElGKUPfw42gIm59F3e+jeloa0/BD7+cw7n5PdjzpS27W8rs7a+sbmV3c7t7O7tH+QPj5oqSiShDRLxSLZ9rChngjY05y2Y0lx6HPa8kc303rgUrFInGvxzH1QjwQLGAEa2N13Tbr+aXLSqV61r1AvXzRLtszoVwFlCsFdzFwCo9/Jfbj8iSUiFJhwr1XHsWHsplpoRTic5N1E0xmSEB7RjUOCQKi+dXT1Bp8bpoyCS5gmNZu7viRSHSo1D3SGWA/Vcm1q/lfrJDq48lIm4kRTQeaLgoQjHaFpBKjPJCWajw1gIpm5FZEhlphoE1TOhOAsf3kVmpWyY/jOpHENc2XhBApQAgeqUINbqEMDCEh4gld4sx6tZ+vd+pi3ZqzFzDH8kfX5A8z2kjY=</latexit><latexit sha1_base64="0LrB4xChBcV93StbcSeQxeo7MPA=">AB9XicbZDLSgMxFIbP1Fut6pLN6FqIhlpgvrsujGZQV7gc60ZNJMG5rJDElGUrfwoUbF4q49V3c9W1MLwut/hD4+M85nJPfjzlT2ranVmZtfWNzK7ud29nd2z/IHx41VZRIQhsk4pFs+1hRzgRtaKY5bceS4tDntOWPbmb1gOVikXiXqcx9UI8ECxgBGtjd026/mly0qleta9QL180S7bc6G/4CyhWCu450/TWlrv5b/cfkSkApNOFaq49ix9sZYakY4neTcRNEYkxEe0I5BgUOqvPH86gk6NU4fBZE0T2g0d39OjHGoVBr6pjPEeqhWazPzv1on0cGVN2YiTjQVZLEoSDjSEZpFgPpMUqJ5agATycytiAyxESboHImBGf1y3+hWSk7hu9MGtewUBZOoAlcKAKNbiFOjSAgIRneIU369F6sd6tj0VrxlrOHMvWZ/f1mCTvA=</latexit><latexit sha1_base64="0LrB4xChBcV93StbcSeQxeo7MPA=">AB9XicbZDLSgMxFIbP1Fut6pLN6FqIhlpgvrsujGZQV7gc60ZNJMG5rJDElGUrfwoUbF4q49V3c9W1MLwut/hD4+M85nJPfjzlT2ranVmZtfWNzK7ud29nd2z/IHx41VZRIQhsk4pFs+1hRzgRtaKY5bceS4tDntOWPbmb1gOVikXiXqcx9UI8ECxgBGtjd026/mly0qleta9QL180S7bc6G/4CyhWCu450/TWlrv5b/cfkSkApNOFaq49ix9sZYakY4neTcRNEYkxEe0I5BgUOqvPH86gk6NU4fBZE0T2g0d39OjHGoVBr6pjPEeqhWazPzv1on0cGVN2YiTjQVZLEoSDjSEZpFgPpMUqJ5agATycytiAyxESboHImBGf1y3+hWSk7hu9MGtewUBZOoAlcKAKNbiFOjSAgIRneIU369F6sd6tj0VrxlrOHMvWZ/f1mCTvA=</latexit><latexit sha1_base64="nNiNE6l8jDn8yo0A6dWBsfXr+VU=">AB9XicbZDLTgIxFIbPeEW8oS7dNBITXEhmWIhLohuXmMglgYF0Sgca2s6k7WjIhPdw40Jj3Pou7nwbC8xCwT9p8uU/5+Sc/kHMmTau+2srW9sbm3ndvK7e/sHh4Wj46aOEkVog0Q8Uu0Aa8qZpA3DKftWFEsAk5bwfh2Vm89UqVZJB/MJKa+wEPJQkawsVav2b9oHRVqVQvepeoXyi6ZXcutApeBkXIVO8XvrqDiCSCSkM41rjubHxU6wMI5xO891E0xiTMR7SjkWJBdV+Or96is6tM0BhpOyTBs3d3xMpFlpPRGA7BTYjvVybmf/VOokJr/2UyTgxVJLFojDhyERoFgEaMEWJ4RMLmChmb0VkhBUmxgaVtyF4y19ehWal7Fm+d4u1myOHJzCGZTAgyrU4A7q0ACp7hFd6cJ+fFeXc+Fq1rTjZzAn/kfP4AuneQrQ=</latexit>Ω0
c
<latexit sha1_base64="3Efu9R4Njf4YyRhnS3RjHuldNg=">AB8nicbZC7SgNBFIbPxluMt6ilzZAgpAq7NloGbeyMYC6wiWF2MpsMmcsyMyuEJY9hY6GIrU9jJ1j4KE4uhSb+MPDxn3OYc/4o4cxY3/0cmvrG5tb+e3Czu7e/kHx8KhpVKoJbRDFlW5H2FDOJG1YZjltJ5piEXHaikZX03rgWrDlLyz4R2BR5IFjOCrbPCzo2gA9wj9z7qFct+1Z8JrUKwgHKtVPn6BoB6r/jR6SuSCiot4diYMPAT282wtoxwOil0UkMTEZ4QEOHEgtqutls5Qk6dU4fxUq7Jy2aub8nMiyMGYvIdQpsh2a5NjX/q4WpjS+6GZNJaqk84/ilCOr0PR+1GeaEsvHDjDRzO2KyBrTKxLqeBCJZPXoXmWTVwfOvSuIS58nACJahAOdQg2uoQwMIKHiEZ3jxrPfkvXpv89act5g5hj/y3n8AZFOS3w=</latexit><latexit sha1_base64="tJpLZ7oZmYpjrohyuKzNqKStviM=">AB8nicbZDLSgMxFIYz9VbrerSTWgRuiozbnRZdOPOCvYC07Fk0jNtaJIZkoxQhj6GwVF3Poibt2JPozpZaGtPwQ+/nMOecPE860cd1PJ7eyura+kd8sbG3v7O4V9w+aOk4VhQaNeazaIdHAmYSGYZDO1FARMihFQ4vJvXWHSjNYnljRgkEgvQlixglxlp+50pAn3TprYu7xbJbdafCy+DNoVwrVb6/Tt8f693iR6cX01SANJQTrX3PTUyQEWUY5TAudFINCaFD0gfoiQCdJBNVx7jY+v0cBQr+6TBU/f3REaE1iMR2k5BzEAv1ibmfzU/NdFZkDGZpAYknX0UpRybGE/uxz2mgBo+skCoYnZXTAdEWpsSgUbgrd48jI0T6qe5WubxjmaKY+OUAlVkIdOUQ1dojpqIpidI+e0LNjnAfnxXmdteac+cwh+iPn7QeCZ5R1</latexit><latexit sha1_base64="tJpLZ7oZmYpjrohyuKzNqKStviM=">AB8nicbZDLSgMxFIYz9VbrerSTWgRuiozbnRZdOPOCvYC07Fk0jNtaJIZkoxQhj6GwVF3Poibt2JPozpZaGtPwQ+/nMOecPE860cd1PJ7eyura+kd8sbG3v7O4V9w+aOk4VhQaNeazaIdHAmYSGYZDO1FARMihFQ4vJvXWHSjNYnljRgkEgvQlixglxlp+50pAn3TprYu7xbJbdafCy+DNoVwrVb6/Tt8f693iR6cX01SANJQTrX3PTUyQEWUY5TAudFINCaFD0gfoiQCdJBNVx7jY+v0cBQr+6TBU/f3REaE1iMR2k5BzEAv1ibmfzU/NdFZkDGZpAYknX0UpRybGE/uxz2mgBo+skCoYnZXTAdEWpsSgUbgrd48jI0T6qe5WubxjmaKY+OUAlVkIdOUQ1dojpqIpidI+e0LNjnAfnxXmdteac+cwh+iPn7QeCZ5R1</latexit><latexit sha1_base64="ru6WNqxjoyn/Zie+RQbZAyw6Y=">AB8nicbZC7SgNBFIZn4y3GW9TSZjAIVmHXRsugjZ0RzAU2a5idzCZD5rLMnBXCksewsVDE1qex82cJFto4g8DH/85hznj1PBLfj+t1daW9/Y3CpvV3Z29/YPqodHbaszQ1mLaqFNyaWCa5YCzgI1k0NIzIWrBOPb2b1zhMzlmv1AJOURZIMFU84JeCsHcn2ZD06aOP+9WaX/fnwqsQFBDhZr96ldvoGkmQIqiLVh4KcQ5cQAp4JNK73MspTQMRmy0KEiktkon68xWfOGeBEG/cU4Ln7eyIn0tqJjF2nJDCy7WZ+V8tzC5inKu0gyYouPkxg0Hh2Px5wyiIiQNCDXe7YjoihlBwKVcCMHyavQvqgHju/9WuO6iKOMTtApOkcBukQNdIuaqIUo0ugZvaI3D7wX7937WLSWvGLmGP2R9/kDU4SQmQ=</latexit>Ξ++
cc
<latexit sha1_base64="dwhuWhFGJYbwTPkNcBdQYeCRwLY=">AB9HicbZDLSgMxFIZP6q3W9Wlm2ARhEKZEUGXRTcuK9gLtGPJpJk2NJMZk0yhDPMcblwo4taHcefbmLaz0NYfAh/OYdz8vux4No4zjcqrK1vbG4Vt0s7u3v7B+XDo5aOEkVZk0YiUh2faCa4ZE3DjWCdWDES+oK1/fHtrN6eMKV5JB/MNGZeSIaSB5wSYy2v1+H9lNLsMa1Ws3654tScufAquDlUIFejX/7qDSKahEwaKojWXdeJjZcSZTgVLCv1Es1iQsdkyLoWJQmZ9tL50Rk+s84AB5GyTxo8d39PpCTUehr6tjMkZqSXazPzv1o3McG1l3IZJ4ZJulgUJAKbCM8SwAOuGDViaoFQxe2tmI6ItTYnEo2BHf5y6vQuqi5lu8vK/WbPI4inMApnIMLV1CHO2hAEyg8wTO8whuaoBf0j4WrQWUzxzDH6HPH3bxkeI=</latexit><latexit sha1_base64="dwhuWhFGJYbwTPkNcBdQYeCRwLY=">AB9HicbZDLSgMxFIZP6q3W9Wlm2ARhEKZEUGXRTcuK9gLtGPJpJk2NJMZk0yhDPMcblwo4taHcefbmLaz0NYfAh/OYdz8vux4No4zjcqrK1vbG4Vt0s7u3v7B+XDo5aOEkVZk0YiUh2faCa4ZE3DjWCdWDES+oK1/fHtrN6eMKV5JB/MNGZeSIaSB5wSYy2v1+H9lNLsMa1Ws3654tScufAquDlUIFejX/7qDSKahEwaKojWXdeJjZcSZTgVLCv1Es1iQsdkyLoWJQmZ9tL50Rk+s84AB5GyTxo8d39PpCTUehr6tjMkZqSXazPzv1o3McG1l3IZJ4ZJulgUJAKbCM8SwAOuGDViaoFQxe2tmI6ItTYnEo2BHf5y6vQuqi5lu8vK/WbPI4inMApnIMLV1CHO2hAEyg8wTO8whuaoBf0j4WrQWUzxzDH6HPH3bxkeI=</latexit><latexit sha1_base64="dwhuWhFGJYbwTPkNcBdQYeCRwLY=">AB9HicbZDLSgMxFIZP6q3W9Wlm2ARhEKZEUGXRTcuK9gLtGPJpJk2NJMZk0yhDPMcblwo4taHcefbmLaz0NYfAh/OYdz8vux4No4zjcqrK1vbG4Vt0s7u3v7B+XDo5aOEkVZk0YiUh2faCa4ZE3DjWCdWDES+oK1/fHtrN6eMKV5JB/MNGZeSIaSB5wSYy2v1+H9lNLsMa1Ws3654tScufAquDlUIFejX/7qDSKahEwaKojWXdeJjZcSZTgVLCv1Es1iQsdkyLoWJQmZ9tL50Rk+s84AB5GyTxo8d39PpCTUehr6tjMkZqSXazPzv1o3McG1l3IZJ4ZJulgUJAKbCM8SwAOuGDViaoFQxe2tmI6ItTYnEo2BHf5y6vQuqi5lu8vK/WbPI4inMApnIMLV1CHO2hAEyg8wTO8whuaoBf0j4WrQWUzxzDH6HPH3bxkeI=</latexit><latexit sha1_base64="dwhuWhFGJYbwTPkNcBdQYeCRwLY=">AB9HicbZDLSgMxFIZP6q3W9Wlm2ARhEKZEUGXRTcuK9gLtGPJpJk2NJMZk0yhDPMcblwo4taHcefbmLaz0NYfAh/OYdz8vux4No4zjcqrK1vbG4Vt0s7u3v7B+XDo5aOEkVZk0YiUh2faCa4ZE3DjWCdWDES+oK1/fHtrN6eMKV5JB/MNGZeSIaSB5wSYy2v1+H9lNLsMa1Ws3654tScufAquDlUIFejX/7qDSKahEwaKojWXdeJjZcSZTgVLCv1Es1iQsdkyLoWJQmZ9tL50Rk+s84AB5GyTxo8d39PpCTUehr6tjMkZqSXazPzv1o3McG1l3IZJ4ZJulgUJAKbCM8SwAOuGDViaoFQxe2tmI6ItTYnEo2BHf5y6vQuqi5lu8vK/WbPI4inMApnIMLV1CHO2hAEyg8wTO8whuaoBf0j4WrQWUzxzDH6HPH3bxkeI=</latexit>uudc¯ c
<latexit sha1_base64="DQGlIpB3SGTMHuPRNK+dh/zFYIM=">AB8nicbZDLSsNAFIZP6q3W9Wlm8EiuCqJCLosunFZwdZCGspkMmHTmbCXIQS+huXCji1qdx59s4bPQ1h8GPv5zDnPOH+ecaeP7315lbX1jc6u6XdvZ3ds/qB8edbW0itAOkVyqXow15UzQjmG016uKM5iTh/j8e2s/vhElWZSPJhJTqMDwVLGcHGWaG1CenHWBVkOqg3/KY/F1qFoIQGlGoP6l/9RBKbUWEIx1qHgZ+bqMDKMLptNa3muaYjPGQhg4FzqiOivnKU3TmnASlUrknDJq7vycKnGk9yWLXmWEz0su1mflfLbQmvY4KJnJrqCLj1LkZFodj9KmKLE8IkDTBRzuyIywgoT41KquRC5ZNXoXvRDBzfXzZaN2UcVTiBUziHAK6gBXfQhg4QkPAMr/DmGe/Fe/c+Fq0Vr5w5hj/yPn8AtKRhQ=</latexit><latexit sha1_base64="DQGlIpB3SGTMHuPRNK+dh/zFYIM=">AB8nicbZDLSsNAFIZP6q3W9Wlm8EiuCqJCLosunFZwdZCGspkMmHTmbCXIQS+huXCji1qdx59s4bPQ1h8GPv5zDnPOH+ecaeP7315lbX1jc6u6XdvZ3ds/qB8edbW0itAOkVyqXow15UzQjmG016uKM5iTh/j8e2s/vhElWZSPJhJTqMDwVLGcHGWaG1CenHWBVkOqg3/KY/F1qFoIQGlGoP6l/9RBKbUWEIx1qHgZ+bqMDKMLptNa3muaYjPGQhg4FzqiOivnKU3TmnASlUrknDJq7vycKnGk9yWLXmWEz0su1mflfLbQmvY4KJnJrqCLj1LkZFodj9KmKLE8IkDTBRzuyIywgoT41KquRC5ZNXoXvRDBzfXzZaN2UcVTiBUziHAK6gBXfQhg4QkPAMr/DmGe/Fe/c+Fq0Vr5w5hj/yPn8AtKRhQ=</latexit><latexit sha1_base64="DQGlIpB3SGTMHuPRNK+dh/zFYIM=">AB8nicbZDLSsNAFIZP6q3W9Wlm8EiuCqJCLosunFZwdZCGspkMmHTmbCXIQS+huXCji1qdx59s4bPQ1h8GPv5zDnPOH+ecaeP7315lbX1jc6u6XdvZ3ds/qB8edbW0itAOkVyqXow15UzQjmG016uKM5iTh/j8e2s/vhElWZSPJhJTqMDwVLGcHGWaG1CenHWBVkOqg3/KY/F1qFoIQGlGoP6l/9RBKbUWEIx1qHgZ+bqMDKMLptNa3muaYjPGQhg4FzqiOivnKU3TmnASlUrknDJq7vycKnGk9yWLXmWEz0su1mflfLbQmvY4KJnJrqCLj1LkZFodj9KmKLE8IkDTBRzuyIywgoT41KquRC5ZNXoXvRDBzfXzZaN2UcVTiBUziHAK6gBXfQhg4QkPAMr/DmGe/Fe/c+Fq0Vr5w5hj/yPn8AtKRhQ=</latexit><latexit sha1_base64="DQGlIpB3SGTMHuPRNK+dh/zFYIM=">AB8nicbZDLSsNAFIZP6q3W9Wlm8EiuCqJCLosunFZwdZCGspkMmHTmbCXIQS+huXCji1qdx59s4bPQ1h8GPv5zDnPOH+ecaeP7315lbX1jc6u6XdvZ3ds/qB8edbW0itAOkVyqXow15UzQjmG016uKM5iTh/j8e2s/vhElWZSPJhJTqMDwVLGcHGWaG1CenHWBVkOqg3/KY/F1qFoIQGlGoP6l/9RBKbUWEIx1qHgZ+bqMDKMLptNa3muaYjPGQhg4FzqiOivnKU3TmnASlUrknDJq7vycKnGk9yWLXmWEz0su1mflfLbQmvY4KJnJrqCLj1LkZFodj9KmKLE8IkDTBRzuyIywgoT41KquRC5ZNXoXvRDBzfXzZaN2UcVTiBUziHAK6gBXfQhg4QkPAMr/DmGe/Fe/c+Fq0Vr5w5hj/yPn8AtKRhQ=</latexit>the state using an electromagne5c probe .
Hall C in February of this year [7].
3 [7] Mezziani ZE et al (Hall C collabora5on) 2016 A Search for the LHCb Charmed “Pentaquark” using Photoproduc5on of J/ψ at Threshold in Hall C at Jefferson Lab, Preprint 1609.00676 [hep-ex]
Pc(4450)
<latexit sha1_base64="inupN+SsmkzIAQZX0But9YD8A=">AB8HicbZDLSgMxFIbP1Fut6pLN8Ei1E2ZkRFdFt24rGAv0g4lk2ba0CQzJBmhDH0KNy4UcevjuPNtTNtZaOsPgY/nEPO+cOEM21c9sprK1vbG4Vt0s7u3v7B+XDo5aOU0Vok8Q8Vp0Qa8qZpE3DKedRFEsQk7b4fh2Vm8/UaVZLB/MJKGBwEPJIkawsdZjo0+qvn/pnvfLFbfmzoVWwcuhArka/fJXbxCTVFBpCMdadz03MUGlWGE02mpl2qaYDLGQ9q1KLGgOsjmC0/RmXUGKIqVfdKguft7IsNC64kIbafAZqSXazPzv1o3NdF1kDGZpIZKsvgoSjkyMZpdjwZMUWL4xAImitldERlhYmxGZVsCN7yavQuqh5lu/9Sv0mj6MIJ3AKVfDgCupwBw1oAgEBz/AKb45yXpx352PRWnDymWP4I+fzB7LojwQ=</latexit><latexit sha1_base64="inupN+SsmkzIAQZX0But9YD8A=">AB8HicbZDLSgMxFIbP1Fut6pLN8Ei1E2ZkRFdFt24rGAv0g4lk2ba0CQzJBmhDH0KNy4UcevjuPNtTNtZaOsPgY/nEPO+cOEM21c9sprK1vbG4Vt0s7u3v7B+XDo5aOU0Vok8Q8Vp0Qa8qZpE3DKedRFEsQk7b4fh2Vm8/UaVZLB/MJKGBwEPJIkawsdZjo0+qvn/pnvfLFbfmzoVWwcuhArka/fJXbxCTVFBpCMdadz03MUGlWGE02mpl2qaYDLGQ9q1KLGgOsjmC0/RmXUGKIqVfdKguft7IsNC64kIbafAZqSXazPzv1o3NdF1kDGZpIZKsvgoSjkyMZpdjwZMUWL4xAImitldERlhYmxGZVsCN7yavQuqh5lu/9Sv0mj6MIJ3AKVfDgCupwBw1oAgEBz/AKb45yXpx352PRWnDymWP4I+fzB7LojwQ=</latexit><latexit sha1_base64="inupN+SsmkzIAQZX0But9YD8A=">AB8HicbZDLSgMxFIbP1Fut6pLN8Ei1E2ZkRFdFt24rGAv0g4lk2ba0CQzJBmhDH0KNy4UcevjuPNtTNtZaOsPgY/nEPO+cOEM21c9sprK1vbG4Vt0s7u3v7B+XDo5aOU0Vok8Q8Vp0Qa8qZpE3DKedRFEsQk7b4fh2Vm8/UaVZLB/MJKGBwEPJIkawsdZjo0+qvn/pnvfLFbfmzoVWwcuhArka/fJXbxCTVFBpCMdadz03MUGlWGE02mpl2qaYDLGQ9q1KLGgOsjmC0/RmXUGKIqVfdKguft7IsNC64kIbafAZqSXazPzv1o3NdF1kDGZpIZKsvgoSjkyMZpdjwZMUWL4xAImitldERlhYmxGZVsCN7yavQuqh5lu/9Sv0mj6MIJ3AKVfDgCupwBw1oAgEBz/AKb45yXpx352PRWnDymWP4I+fzB7LojwQ=</latexit><latexit sha1_base64="inupN+SsmkzIAQZX0But9YD8A=">AB8HicbZDLSgMxFIbP1Fut6pLN8Ei1E2ZkRFdFt24rGAv0g4lk2ba0CQzJBmhDH0KNy4UcevjuPNtTNtZaOsPgY/nEPO+cOEM21c9sprK1vbG4Vt0s7u3v7B+XDo5aOU0Vok8Q8Vp0Qa8qZpE3DKedRFEsQk7b4fh2Vm8/UaVZLB/MJKGBwEPJIkawsdZjo0+qvn/pnvfLFbfmzoVWwcuhArka/fJXbxCTVFBpCMdadz03MUGlWGE02mpl2qaYDLGQ9q1KLGgOsjmC0/RmXUGKIqVfdKguft7IsNC64kIbafAZqSXazPzv1o3NdF1kDGZpIZKsvgoSjkyMZpdjwZMUWL4xAImitldERlhYmxGZVsCN7yavQuqh5lu/9Sv0mj6MIJ3AKVfDgCupwBw1oAgEBz/AKb45yXpx352PRWnDymWP4I+fzB7LojwQ=</latexit>γp → Pc → J/ψp
<latexit sha1_base64="HAbq2iT0E8WLljzGlAXcnoq3CzE=">ACBXicbVBLSwMxGMzWV62vVY96CBbBU90VQY9FL+Kpgn1Ad1myabYNTbIhyQql9OLFv+LFgyJe/Q/e/Ddm2z1o60DIMPN9JDOxZFQbz/t2SkvLK6tr5fXKxubW9o67u9fSaYwaeKUpaoTI0YFaRpqGkIxVBPGakHQ+vc7/9QJSmqbg3I0lCjvqCJhQjY6XIPQz6iHMEZWBS2IgwzO/b0BqCmXkVr2aNwVcJH5BqBAI3K/gl6KM06EwQxp3fU9acIxUoZiRiaVINEIjxEfdK1VCBOdDiepjAY6v0YJIqe4SBU/X3xhxrUc8tpMcmYGe93LxP6+bmeQyHFMhM0MEnj2UZAzapHklsEcVwYaNLEFYUftXiAdIWxscRVbgj8feZG0zmq+5Xfn1fpVUcZHIAjcAJ8cAHq4AY0QBNg8AiewSt4c56cF+fd+ZiNlpxiZx/8gfP5A5REl1M=</latexit><latexit sha1_base64="HAbq2iT0E8WLljzGlAXcnoq3CzE=">ACBXicbVBLSwMxGMzWV62vVY96CBbBU90VQY9FL+Kpgn1Ad1myabYNTbIhyQql9OLFv+LFgyJe/Q/e/Ddm2z1o60DIMPN9JDOxZFQbz/t2SkvLK6tr5fXKxubW9o67u9fSaYwaeKUpaoTI0YFaRpqGkIxVBPGakHQ+vc7/9QJSmqbg3I0lCjvqCJhQjY6XIPQz6iHMEZWBS2IgwzO/b0BqCmXkVr2aNwVcJH5BqBAI3K/gl6KM06EwQxp3fU9acIxUoZiRiaVINEIjxEfdK1VCBOdDiepjAY6v0YJIqe4SBU/X3xhxrUc8tpMcmYGe93LxP6+bmeQyHFMhM0MEnj2UZAzapHklsEcVwYaNLEFYUftXiAdIWxscRVbgj8feZG0zmq+5Xfn1fpVUcZHIAjcAJ8cAHq4AY0QBNg8AiewSt4c56cF+fd+ZiNlpxiZx/8gfP5A5REl1M=</latexit><latexit sha1_base64="HAbq2iT0E8WLljzGlAXcnoq3CzE=">ACBXicbVBLSwMxGMzWV62vVY96CBbBU90VQY9FL+Kpgn1Ad1myabYNTbIhyQql9OLFv+LFgyJe/Q/e/Ddm2z1o60DIMPN9JDOxZFQbz/t2SkvLK6tr5fXKxubW9o67u9fSaYwaeKUpaoTI0YFaRpqGkIxVBPGakHQ+vc7/9QJSmqbg3I0lCjvqCJhQjY6XIPQz6iHMEZWBS2IgwzO/b0BqCmXkVr2aNwVcJH5BqBAI3K/gl6KM06EwQxp3fU9acIxUoZiRiaVINEIjxEfdK1VCBOdDiepjAY6v0YJIqe4SBU/X3xhxrUc8tpMcmYGe93LxP6+bmeQyHFMhM0MEnj2UZAzapHklsEcVwYaNLEFYUftXiAdIWxscRVbgj8feZG0zmq+5Xfn1fpVUcZHIAjcAJ8cAHq4AY0QBNg8AiewSt4c56cF+fd+ZiNlpxiZx/8gfP5A5REl1M=</latexit><latexit sha1_base64="HAbq2iT0E8WLljzGlAXcnoq3CzE=">ACBXicbVBLSwMxGMzWV62vVY96CBbBU90VQY9FL+Kpgn1Ad1myabYNTbIhyQql9OLFv+LFgyJe/Q/e/Ddm2z1o60DIMPN9JDOxZFQbz/t2SkvLK6tr5fXKxubW9o67u9fSaYwaeKUpaoTI0YFaRpqGkIxVBPGakHQ+vc7/9QJSmqbg3I0lCjvqCJhQjY6XIPQz6iHMEZWBS2IgwzO/b0BqCmXkVr2aNwVcJH5BqBAI3K/gl6KM06EwQxp3fU9acIxUoZiRiaVINEIjxEfdK1VCBOdDiepjAY6v0YJIqe4SBU/X3xhxrUc8tpMcmYGe93LxP6+bmeQyHFMhM0MEnj2UZAzapHklsEcVwYaNLEFYUftXiAdIWxscRVbgj8feZG0zmq+5Xfn1fpVUcZHIAjcAJ8cAHq4AY0QBNg8AiewSt4c56cF+fd+ZiNlpxiZx/8gfP5A5REl1M=</latexit>The interac5on Hamiltonian for electromagne5c couplings is [8]
4
H = e Z d3xJµ
em(~
x)Aµ(~ x)
<latexit sha1_base64="YHzV2GIcokc/bA2Z7a3ZQe9dYI=">ACGHicbVDLSsQwFE19O75GXboJDsK4GVsVdCP42IgrBUcHprWk6R0Nk6QlScWhzGe48VfcuFDErTv/xnSsoKMHAifn3Mu90QpZ9q47oczMjo2PjE5NV2ZmZ2bX6guLl3oJFMUmjThiWpFRANnEpqGQ6tVAEREYfLqHtU+Je3oDRL5LnpRAIci1Zh1FirBRWN473wGfS4Phq6w6fXPkiC3MQ/bp/CxTfreOD0Er4+1sJqzW34Q6A/xKvJDVU4jSsvtxQjMB0lBOtG57bmqCnCjDKId+xc80pIR2yTW0LZVEgA7ywWF9vGaVGHcSZ/dcaD+7MiJ0LonIlspiLnRw14h/ue1M9PZDXIm08yApF+DOhnHJsFSjhmCqjhPUsIVczuiukNUYQam2URgjd8l9ysdnwLD/bru0flnFMoRW0iurIQztoHx2jU9REFN2jR/SMXpwH58l5d6+SkecsmcZ/YLz/gk/+Z38</latexit><latexit sha1_base64="YHzV2GIcokc/bA2Z7a3ZQe9dYI=">ACGHicbVDLSsQwFE19O75GXboJDsK4GVsVdCP42IgrBUcHprWk6R0Nk6QlScWhzGe48VfcuFDErTv/xnSsoKMHAifn3Mu90QpZ9q47oczMjo2PjE5NV2ZmZ2bX6guLl3oJFMUmjThiWpFRANnEpqGQ6tVAEREYfLqHtU+Je3oDRL5LnpRAIci1Zh1FirBRWN473wGfS4Phq6w6fXPkiC3MQ/bp/CxTfreOD0Er4+1sJqzW34Q6A/xKvJDVU4jSsvtxQjMB0lBOtG57bmqCnCjDKId+xc80pIR2yTW0LZVEgA7ywWF9vGaVGHcSZ/dcaD+7MiJ0LonIlspiLnRw14h/ue1M9PZDXIm08yApF+DOhnHJsFSjhmCqjhPUsIVczuiukNUYQam2URgjd8l9ysdnwLD/bru0flnFMoRW0iurIQztoHx2jU9REFN2jR/SMXpwH58l5d6+SkecsmcZ/YLz/gk/+Z38</latexit><latexit sha1_base64="YHzV2GIcokc/bA2Z7a3ZQe9dYI=">ACGHicbVDLSsQwFE19O75GXboJDsK4GVsVdCP42IgrBUcHprWk6R0Nk6QlScWhzGe48VfcuFDErTv/xnSsoKMHAifn3Mu90QpZ9q47oczMjo2PjE5NV2ZmZ2bX6guLl3oJFMUmjThiWpFRANnEpqGQ6tVAEREYfLqHtU+Je3oDRL5LnpRAIci1Zh1FirBRWN473wGfS4Phq6w6fXPkiC3MQ/bp/CxTfreOD0Er4+1sJqzW34Q6A/xKvJDVU4jSsvtxQjMB0lBOtG57bmqCnCjDKId+xc80pIR2yTW0LZVEgA7ywWF9vGaVGHcSZ/dcaD+7MiJ0LonIlspiLnRw14h/ue1M9PZDXIm08yApF+DOhnHJsFSjhmCqjhPUsIVczuiukNUYQam2URgjd8l9ysdnwLD/bru0flnFMoRW0iurIQztoHx2jU9REFN2jR/SMXpwH58l5d6+SkecsmcZ/YLz/gk/+Z38</latexit><latexit sha1_base64="YHzV2GIcokc/bA2Z7a3ZQe9dYI=">ACGHicbVDLSsQwFE19O75GXboJDsK4GVsVdCP42IgrBUcHprWk6R0Nk6QlScWhzGe48VfcuFDErTv/xnSsoKMHAifn3Mu90QpZ9q47oczMjo2PjE5NV2ZmZ2bX6guLl3oJFMUmjThiWpFRANnEpqGQ6tVAEREYfLqHtU+Je3oDRL5LnpRAIci1Zh1FirBRWN473wGfS4Phq6w6fXPkiC3MQ/bp/CxTfreOD0Er4+1sJqzW34Q6A/xKvJDVU4jSsvtxQjMB0lBOtG57bmqCnCjDKId+xc80pIR2yTW0LZVEgA7ywWF9vGaVGHcSZ/dcaD+7MiJ0LonIlspiLnRw14h/ue1M9PZDXIm08yApF+DOhnHJsFSjhmCqjhPUsIVczuiukNUYQam2URgjd8l9ysdnwLD/bru0flnFMoRW0iurIQztoHx2jU9REFN2jR/SMXpwH58l5d6+SkecsmcZ/YLz/gk/+Z38</latexit>[8] A. Le Yaouanc, L. Oliver, O. Pene, and J. C. Raynal, Hadron Transi5ons in the Quark Model (Gordon and Breach, NY, USA, 1988). [9] R. Bijker, F. Iachello, and A. Leviatan, Annals of Physics 284, 89 (2000) .
Helicity Amplitudes B → B0 + γ
<latexit sha1_base64="Kf30SGqby8HwI8YLIoD9A3AkVZg=">ACAXicbZDLSsNAFIYn9VbrLepGcDNYREoiQi6LHXjsoK9QFPKyXSDp1JwsxEKaFufBU3LhRx61u482ctlo6w8DH/85hzPn9xPOlHacb6uwtLyulZcL21sbm3v2Lt7TRWnktAGiXks2z4oylEG5pTtuJpCB8Tlv+8HpSb91TqVgc3elRQrsCwogFjIA2Vs8+KNU8ycKBinjB1w7OcNeCEJAzy47FWcqvAhuDmWUq96zv7x+TFJBI04KNVxnUR3M5CaEU7HJS9VNAEyhJB2DEYgqOpm0wvG+Ng4fRzE0rxI46n7eyIDodRI+KZTgB6o+drE/K/WSXVw1c1YlKSaRmS2KEg51jGexIH7TFKi+cgAEMnMXzEZgASiTWglE4I7f/IiNM8ruHbi3K1lsdRIfoCJ0iF12iKrpBdRABD2iZ/SK3qwn68V6tz5mrQUrn9lHf2R9/gCv45W/</latexit><latexit sha1_base64="Kf30SGqby8HwI8YLIoD9A3AkVZg=">ACAXicbZDLSsNAFIYn9VbrLepGcDNYREoiQi6LHXjsoK9QFPKyXSDp1JwsxEKaFufBU3LhRx61u482ctlo6w8DH/85hzPn9xPOlHacb6uwtLyulZcL21sbm3v2Lt7TRWnktAGiXks2z4oylEG5pTtuJpCB8Tlv+8HpSb91TqVgc3elRQrsCwogFjIA2Vs8+KNU8ycKBinjB1w7OcNeCEJAzy47FWcqvAhuDmWUq96zv7x+TFJBI04KNVxnUR3M5CaEU7HJS9VNAEyhJB2DEYgqOpm0wvG+Ng4fRzE0rxI46n7eyIDodRI+KZTgB6o+drE/K/WSXVw1c1YlKSaRmS2KEg51jGexIH7TFKi+cgAEMnMXzEZgASiTWglE4I7f/IiNM8ruHbi3K1lsdRIfoCJ0iF12iKrpBdRABD2iZ/SK3qwn68V6tz5mrQUrn9lHf2R9/gCv45W/</latexit><latexit sha1_base64="Kf30SGqby8HwI8YLIoD9A3AkVZg=">ACAXicbZDLSsNAFIYn9VbrLepGcDNYREoiQi6LHXjsoK9QFPKyXSDp1JwsxEKaFufBU3LhRx61u482ctlo6w8DH/85hzPn9xPOlHacb6uwtLyulZcL21sbm3v2Lt7TRWnktAGiXks2z4oylEG5pTtuJpCB8Tlv+8HpSb91TqVgc3elRQrsCwogFjIA2Vs8+KNU8ycKBinjB1w7OcNeCEJAzy47FWcqvAhuDmWUq96zv7x+TFJBI04KNVxnUR3M5CaEU7HJS9VNAEyhJB2DEYgqOpm0wvG+Ng4fRzE0rxI46n7eyIDodRI+KZTgB6o+drE/K/WSXVw1c1YlKSaRmS2KEg51jGexIH7TFKi+cgAEMnMXzEZgASiTWglE4I7f/IiNM8ruHbi3K1lsdRIfoCJ0iF12iKrpBdRABD2iZ/SK3qwn68V6tz5mrQUrn9lHf2R9/gCv45W/</latexit><latexit sha1_base64="Kf30SGqby8HwI8YLIoD9A3AkVZg=">ACAXicbZDLSsNAFIYn9VbrLepGcDNYREoiQi6LHXjsoK9QFPKyXSDp1JwsxEKaFufBU3LhRx61u482ctlo6w8DH/85hzPn9xPOlHacb6uwtLyulZcL21sbm3v2Lt7TRWnktAGiXks2z4oylEG5pTtuJpCB8Tlv+8HpSb91TqVgc3elRQrsCwogFjIA2Vs8+KNU8ycKBinjB1w7OcNeCEJAzy47FWcqvAhuDmWUq96zv7x+TFJBI04KNVxnUR3M5CaEU7HJS9VNAEyhJB2DEYgqOpm0wvG+Ng4fRzE0rxI46n7eyIDodRI+KZTgB6o+drE/K/WSXVw1c1YlKSaRmS2KEg51jGexIH7TFKi+cgAEMnMXzEZgASiTWglE4I7f/IiNM8ruHbi3K1lsdRIfoCJ0iF12iKrpBdRABD2iZ/SK3qwn68V6tz5mrQUrn9lHf2R9/gCv45W/</latexit>Since the final state is the base state the possible values of the helicity are The helicy amplitudes are
JP = 1/2+
<latexit sha1_base64="dzivBhmdWrLsMLfSHW0DQbX8RA=">AB8HicbZDLSgMxFIbPeK31VnXpJlgEQagzRdCNUHQjrirYi7TkzbWiSGZKMUIY+hRsXirj1cdz5NqbtLT1h8DHf84h5/xBzJk2rvtLC2vrK6t5zbym1vbO7uFvf26jhJFaI1EPFLNAGvKmaQ1wynzVhRLAJOG8HwZlJvPFGlWSQfzCimvsB9yUJGsLHW412neuWdlTun3ULRLblToUXwMihCpmq38NXuRSQRVBrCsdYtz42Nn2JlGOF0nG8nmsaYDHGftixKLKj20+nCY3RsnR4KI2WfNGjq/p5IsdB6JALbKbAZ6PnaxPyv1kpMeOmnTMaJoZLMPgoTjkyEJtejHlOUGD6ygIlidldEBlhYmxGeRuCN3/yItTLJc/y/Xmxcp3FkYNDOIT8OACKnALVagBAQHP8ApvjnJenHfnY9a65GQzB/BHzucP4zWPJA=</latexit><latexit sha1_base64="dzivBhmdWrLsMLfSHW0DQbX8RA=">AB8HicbZDLSgMxFIbPeK31VnXpJlgEQagzRdCNUHQjrirYi7TkzbWiSGZKMUIY+hRsXirj1cdz5NqbtLT1h8DHf84h5/xBzJk2rvtLC2vrK6t5zbym1vbO7uFvf26jhJFaI1EPFLNAGvKmaQ1wynzVhRLAJOG8HwZlJvPFGlWSQfzCimvsB9yUJGsLHW412neuWdlTun3ULRLblToUXwMihCpmq38NXuRSQRVBrCsdYtz42Nn2JlGOF0nG8nmsaYDHGftixKLKj20+nCY3RsnR4KI2WfNGjq/p5IsdB6JALbKbAZ6PnaxPyv1kpMeOmnTMaJoZLMPgoTjkyEJtejHlOUGD6ygIlidldEBlhYmxGeRuCN3/yItTLJc/y/Xmxcp3FkYNDOIT8OACKnALVagBAQHP8ApvjnJenHfnY9a65GQzB/BHzucP4zWPJA=</latexit><latexit sha1_base64="dzivBhmdWrLsMLfSHW0DQbX8RA=">AB8HicbZDLSgMxFIbPeK31VnXpJlgEQagzRdCNUHQjrirYi7TkzbWiSGZKMUIY+hRsXirj1cdz5NqbtLT1h8DHf84h5/xBzJk2rvtLC2vrK6t5zbym1vbO7uFvf26jhJFaI1EPFLNAGvKmaQ1wynzVhRLAJOG8HwZlJvPFGlWSQfzCimvsB9yUJGsLHW412neuWdlTun3ULRLblToUXwMihCpmq38NXuRSQRVBrCsdYtz42Nn2JlGOF0nG8nmsaYDHGftixKLKj20+nCY3RsnR4KI2WfNGjq/p5IsdB6JALbKbAZ6PnaxPyv1kpMeOmnTMaJoZLMPgoTjkyEJtejHlOUGD6ygIlidldEBlhYmxGeRuCN3/yItTLJc/y/Xmxcp3FkYNDOIT8OACKnALVagBAQHP8ApvjnJenHfnY9a65GQzB/BHzucP4zWPJA=</latexit><latexit sha1_base64="dzivBhmdWrLsMLfSHW0DQbX8RA=">AB8HicbZDLSgMxFIbPeK31VnXpJlgEQagzRdCNUHQjrirYi7TkzbWiSGZKMUIY+hRsXirj1cdz5NqbtLT1h8DHf84h5/xBzJk2rvtLC2vrK6t5zbym1vbO7uFvf26jhJFaI1EPFLNAGvKmaQ1wynzVhRLAJOG8HwZlJvPFGlWSQfzCimvsB9yUJGsLHW412neuWdlTun3ULRLblToUXwMihCpmq38NXuRSQRVBrCsdYtz42Nn2JlGOF0nG8nmsaYDHGftixKLKj20+nCY3RsnR4KI2WfNGjq/p5IsdB6JALbKbAZ6PnaxPyv1kpMeOmnTMaJoZLMPgoTjkyEJtejHlOUGD6ygIlidldEBlhYmxGeRuCN3/yItTLJc/y/Xmxcp3FkYNDOIT8OACKnALVagBAQHP8ApvjnJenHfnY9a65GQzB/BHzucP4zWPJA=</latexit>ν = 1/2, 3/2.
<latexit sha1_base64="24UQarV0dmvp7Oe9CAG7cJ1tFc=">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</latexit><latexit sha1_base64="24UQarV0dmvp7Oe9CAG7cJ1tFc=">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</latexit><latexit sha1_base64="24UQarV0dmvp7Oe9CAG7cJ1tFc=">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</latexit><latexit sha1_base64="24UQarV0dmvp7Oe9CAG7cJ1tFc=">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</latexit>Aν = hψB0;1/2,ν 1|H|ψB;J,νi,
<latexit sha1_base64="24UQarV0dmvp7Oe9CAG7cJ1tFc=">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</latexit><latexit sha1_base64="24UQarV0dmvp7Oe9CAG7cJ1tFc=">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</latexit><latexit sha1_base64="24UQarV0dmvp7Oe9CAG7cJ1tFc=">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</latexit><latexit sha1_base64="24UQarV0dmvp7Oe9CAG7cJ1tFc=">ACT3icbZHNT9swGMadMr46Pso47mKtmuBQSlJATK2QgF0QJyatgFRXkeO+aS0cJ7IdpCrNf8gFbvwbu3DYNM3JcuDrlSz9Dyv9fp9HCSCa+O6j05t7sP8wuLScv3jyuraemPj06WOU8Wgz2IRq+uAahBcQt9wI+A6UCjQMBVcPO98K9uQWkey59msAwomPJQ86osZLfCElEzYRkZ3kPpHpERFUjgVgTBLN/ex0K+95u52WtXa82dmsUvPeQtbjaiyu0UmOqEMq9wK8MLpHpFte7O7tdtp+o+m23bLwW/AqaKqLvzGAxnFLI1AGiao1gPTcwo8pwJiCvk1SDnXhDxzCwKGkEepiVeT4q1VGOIyVPdLgUn1+I6OR1tMosJ3F9vq1V4jveYPUhN+GZdJakCy/4PCVGAT4yJcPOIKmBFTC5Qpbt+K2YQqyoz9groNwXu98lu47LQ9yz/2m8enVRxL6DP6graRhw7RMTpDF6iPGLpDv9Bv9Me5d56cv7WqteZUsIleVG35H0qRsXw=</latexit>Radia5ve decay width [9] Γ(B → B0 + γ) = 2πρ 1 (2π)3 2 2J + 1 X
ν>0
|Aν(k)|2 ,
<latexit sha1_base64="qgjOKRBM56VRKQ4PikNh9RMlZE=">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</latexit><latexit sha1_base64="qgjOKRBM56VRKQ4PikNh9RMlZE=">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</latexit><latexit sha1_base64="qgjOKRBM56VRKQ4PikNh9RMlZE=">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</latexit><latexit sha1_base64="qgjOKRBM56VRKQ4PikNh9RMlZE=">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</latexit>q
<latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit><latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit><latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit><latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit>q
<latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit><latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit><latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit><latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit>q
<latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit><latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit><latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit><latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit>B0
<latexit sha1_base64="ZDgxhIdvSkRtA8XdvPCxwF5TKQ=">AB6XicbZBNS8NAEIYn9avWr6pHL4tF9FQSEfRY6sVjFfsBbSib7aRdutmE3Y1Qv+BFw+KePUfefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXksH80kQT+iQ8lDzqix1kP9vF+uFV3LrIKXg4VyNXol796g5ilEUrDBNW67mJ8TOqDGcCp6VeqjGhbEyH2LUoaYTaz+abTsmZdQYkjJV90pC5+3sio5HWkyiwnRE1I71cm5n/1bqpCW/8jMskNSjZ4qMwFcTEZHY2GXCFzIiJBcoUt7sSNqKMmPDKdkQvOWTV6F1WfUs319VavU8jiKcwClcgAfXUIM7aEATGITwDK/w5oydF+fd+Vi0Fpx85hj+yPn8AfSljPc=</latexit><latexit sha1_base64="ZDgxhIdvSkRtA8XdvPCxwF5TKQ=">AB6XicbZBNS8NAEIYn9avWr6pHL4tF9FQSEfRY6sVjFfsBbSib7aRdutmE3Y1Qv+BFw+KePUfefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXksH80kQT+iQ8lDzqix1kP9vF+uFV3LrIKXg4VyNXol796g5ilEUrDBNW67mJ8TOqDGcCp6VeqjGhbEyH2LUoaYTaz+abTsmZdQYkjJV90pC5+3sio5HWkyiwnRE1I71cm5n/1bqpCW/8jMskNSjZ4qMwFcTEZHY2GXCFzIiJBcoUt7sSNqKMmPDKdkQvOWTV6F1WfUs319VavU8jiKcwClcgAfXUIM7aEATGITwDK/w5oydF+fd+Vi0Fpx85hj+yPn8AfSljPc=</latexit><latexit sha1_base64="ZDgxhIdvSkRtA8XdvPCxwF5TKQ=">AB6XicbZBNS8NAEIYn9avWr6pHL4tF9FQSEfRY6sVjFfsBbSib7aRdutmE3Y1Qv+BFw+KePUfefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXksH80kQT+iQ8lDzqix1kP9vF+uFV3LrIKXg4VyNXol796g5ilEUrDBNW67mJ8TOqDGcCp6VeqjGhbEyH2LUoaYTaz+abTsmZdQYkjJV90pC5+3sio5HWkyiwnRE1I71cm5n/1bqpCW/8jMskNSjZ4qMwFcTEZHY2GXCFzIiJBcoUt7sSNqKMmPDKdkQvOWTV6F1WfUs319VavU8jiKcwClcgAfXUIM7aEATGITwDK/w5oydF+fd+Vi0Fpx85hj+yPn8AfSljPc=</latexit><latexit sha1_base64="ZDgxhIdvSkRtA8XdvPCxwF5TKQ=">AB6XicbZBNS8NAEIYn9avWr6pHL4tF9FQSEfRY6sVjFfsBbSib7aRdutmE3Y1Qv+BFw+KePUfefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXksH80kQT+iQ8lDzqix1kP9vF+uFV3LrIKXg4VyNXol796g5ilEUrDBNW67mJ8TOqDGcCp6VeqjGhbEyH2LUoaYTaz+abTsmZdQYkjJV90pC5+3sio5HWkyiwnRE1I71cm5n/1bqpCW/8jMskNSjZ4qMwFcTEZHY2GXCFzIiJBcoUt7sSNqKMmPDKdkQvOWTV6F1WfUs319VavU8jiKcwClcgAfXUIM7aEATGITwDK/w5oydF+fd+Vi0Fpx85hj+yPn8AfSljPc=</latexit>γ
<latexit sha1_base64="7gxsz35rV5iow5b8W6EqtQy0sk=">AB7XicbZBNSwMxEIZn61etX1WPXoJF8FR2RdBj0YvHCvYD2qXMptk2NtksSVYopf/BiwdFvPp/vPlvTNs9aOsLgYd3ZsjMG6WCG+v7315hbX1jc6u4XdrZ3ds/KB8eNY3KNGUNqoTS7QgNEzxhDcutYO1UM5SRYK1odDurt56YNlwlD3acslDiIOExp2id1ewOUErslSt+1Z+LrEKQwVy1Xvlr25f0UyxFKBxnQCP7XhBLXlVLBpqZsZliId4YB1HCYomQkn82n5Mw5fRIr7V5iydz9PTFBacxYRq5Toh2a5drM/K/WyWx8HU54kmaWJXTxUZwJYhWZnU76XDNqxdgBUs3droQOUSO1LqCSCyFYPnkVmhfVwPH9ZaV2k8dRhBM4hXMI4ApqcAd1aACFR3iGV3jzlPfivXsfi9aCl8cwx95nz+G7Y8V</latexit><latexit sha1_base64="7gxsz35rV5iow5b8W6EqtQy0sk=">AB7XicbZBNSwMxEIZn61etX1WPXoJF8FR2RdBj0YvHCvYD2qXMptk2NtksSVYopf/BiwdFvPp/vPlvTNs9aOsLgYd3ZsjMG6WCG+v7315hbX1jc6u4XdrZ3ds/KB8eNY3KNGUNqoTS7QgNEzxhDcutYO1UM5SRYK1odDurt56YNlwlD3acslDiIOExp2id1ewOUErslSt+1Z+LrEKQwVy1Xvlr25f0UyxFKBxnQCP7XhBLXlVLBpqZsZliId4YB1HCYomQkn82n5Mw5fRIr7V5iydz9PTFBacxYRq5Toh2a5drM/K/WyWx8HU54kmaWJXTxUZwJYhWZnU76XDNqxdgBUs3droQOUSO1LqCSCyFYPnkVmhfVwPH9ZaV2k8dRhBM4hXMI4ApqcAd1aACFR3iGV3jzlPfivXsfi9aCl8cwx95nz+G7Y8V</latexit><latexit sha1_base64="7gxsz35rV5iow5b8W6EqtQy0sk=">AB7XicbZBNSwMxEIZn61etX1WPXoJF8FR2RdBj0YvHCvYD2qXMptk2NtksSVYopf/BiwdFvPp/vPlvTNs9aOsLgYd3ZsjMG6WCG+v7315hbX1jc6u4XdrZ3ds/KB8eNY3KNGUNqoTS7QgNEzxhDcutYO1UM5SRYK1odDurt56YNlwlD3acslDiIOExp2id1ewOUErslSt+1Z+LrEKQwVy1Xvlr25f0UyxFKBxnQCP7XhBLXlVLBpqZsZliId4YB1HCYomQkn82n5Mw5fRIr7V5iydz9PTFBacxYRq5Toh2a5drM/K/WyWx8HU54kmaWJXTxUZwJYhWZnU76XDNqxdgBUs3droQOUSO1LqCSCyFYPnkVmhfVwPH9ZaV2k8dRhBM4hXMI4ApqcAd1aACFR3iGV3jzlPfivXsfi9aCl8cwx95nz+G7Y8V</latexit><latexit sha1_base64="7gxsz35rV5iow5b8W6EqtQy0sk=">AB7XicbZBNSwMxEIZn61etX1WPXoJF8FR2RdBj0YvHCvYD2qXMptk2NtksSVYopf/BiwdFvPp/vPlvTNs9aOsLgYd3ZsjMG6WCG+v7315hbX1jc6u4XdrZ3ds/KB8eNY3KNGUNqoTS7QgNEzxhDcutYO1UM5SRYK1odDurt56YNlwlD3acslDiIOExp2id1ewOUErslSt+1Z+LrEKQwVy1Xvlr25f0UyxFKBxnQCP7XhBLXlVLBpqZsZliId4YB1HCYomQkn82n5Mw5fRIr7V5iydz9PTFBacxYRq5Toh2a5drM/K/WyWx8HU54kmaWJXTxUZwJYhWZnU76XDNqxdgBUs3droQOUSO1LqCSCyFYPnkVmhfVwPH9ZaV2k8dRhBM4hXMI4ApqcAd1aACFR3iGV3jzlPfivXsfi9aCl8cwx95nz+G7Y8V</latexit>⌅ ⇧ ⌥ ⌃ ⌅ ⇧ ⌥ ⌃ ⌅ ⇧
A A A 666
A A U q q q c ¯ c Pc A γ
<latexit sha1_base64="tTruiZT8zK7B7BfKposPOw4R8ck=">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</latexit><latexit sha1_base64="tTruiZT8zK7B7BfKposPOw4R8ck=">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</latexit><latexit sha1_base64="tTruiZT8zK7B7BfKposPOw4R8ck=">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</latexit><latexit sha1_base64="ck8pdC+ekZH4nUmSP+ZG7r8lEyk=">AB2XicbZDNSgMxFIXv1L86Vq1rN8EiuCozbnQpuHFZwbZCO5RM5k4bmskMyR2hDH0BF25EfC93vo3pz0JbDwQ+zknIvSculLQUBN9ebWd3b/+gfugfNfzjk9Nmo2fz0gjsilzl5jnmFpXU2CVJCp8LgzyLFfbj6f0i7+gsTLXTzQrMr4WMtUCk7O6oyaraAdLMW2IVxDC9YaNb+GS7KDUJxa0dhEFBUcUNSaFw7g9LiwUXUz7GgUPNM7RtRxzi6dk7A0N+5oYkv394uKZ9bOstjdzDhN7Ga2MP/LBiWlt1EldVESarH6KC0Vo5wtdmaJNChIzRxwYaSblYkJN1yQa8Z3HYSbG29D7odOn4MoA7ncAFXEMIN3MEDdKALAhJ4hXdv4r15H6uat6tDP4I+/zBzjGijg=</latexit><latexit sha1_base64="YGWO+EQPT+CTLWUs1vaXl1kFovY=">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</latexit><latexit sha1_base64="YGWO+EQPT+CTLWUs1vaXl1kFovY=">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</latexit><latexit sha1_base64="oQLTSOx10NlDvZ1DcHMo7p7s9oE=">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</latexit><latexit sha1_base64="tTruiZT8zK7B7BfKposPOw4R8ck=">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</latexit><latexit sha1_base64="tTruiZT8zK7B7BfKposPOw4R8ck=">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</latexit><latexit sha1_base64="tTruiZT8zK7B7BfKposPOw4R8ck=">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</latexit><latexit sha1_base64="tTruiZT8zK7B7BfKposPOw4R8ck=">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</latexit><latexit sha1_base64="tTruiZT8zK7B7BfKposPOw4R8ck=">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</latexit><latexit sha1_base64="tTruiZT8zK7B7BfKposPOw4R8ck=">AJRnicpVbLbtNAFL2lQJLyamHJZkRBakVbxXm06a4FhFgWiT6kNKomk0lixS/scasoyi/xE2xYs+MTumFBhdhyPHZSN0mjtHXk+M495w79qecd2zEDl87/m7s3f/Awk80tPHr85OmzxaXnB4Eb+kLuC9dy/aM6D6RlOnJfmcqSR54vuV235G98z7CD0+lH5iu80V1PVmzecsxm6bgCi53af4bHZNPkhycZyTIJRs/jnGDesCaZFKLwiSGA5PUB/Jx6OcYM1pAbB1YC34HeJrXB5oDLrSGwr+vo1qJP4BHkaXRFqy2zhxiZI74o8wGebAHmumcHq4C2CDrCmLz+K3hWsZ1FZ5oFkxO9KMOB1kMXUPgTxoKIQz2hLcxhVqAQe03Nz6R1W8ArwCrwV5GzNpzVOHubClPZ1hR2XMVtc0fsyh1yG7R5i9wFzS6l5j3o8EqiuwpvBXZ/Art4J3bpTuzyFDYDd03fyZ6ucBJ/ewp/fQb+eOdOwY2eaxe9TldQmrl7N1UY7+BNFca7eFXB0G9F3AnjGo34CaxM1VgfahQnahQiTpeTjRe01eck7o+W1xri4/nScmBhXGdOL1jSO+npg9K/RLifv9YCzRyfX6BeS2GIqw+7EyM0JkcdYW3myI1xyZLI7jK63g1We6xXaxF2KVuUP+p5xjG2c8Q7gQl/qlT3i+3rX4cjl0LlmCh3RAM6gFXM4Oh3qznR0plyqbqZjmN4zWNK/OD9L6mXUHeJNIouYK/pnSutxfR+GO1dbZ3T17M7g38X51uNp3uyoeu+7MmVfe9kcTm/kdcHGzeMxFim5Ng7Wfx53HBFaEtHCYsHQdXIe6rW474yhSX7C8dhID0uOrwlqzAdbsug1tOfAX32Bp4Ga7o+Tkcx7U0zetwOgq5dR6TNVTsYxSLnJKwaqmal1jMdL1TSEXGiZmgx5bLom4I1TF8KZXVhcOGbmCsTbe5zofDlsYAmGKMljxsHhQ0D9ufC8s67pB1Zekmv9Gu+RTv0CTdon0Tme+Y8ydzkf2R/Z39m/0Xh96bSzgv6MqRo/EBqlo</latexit>¯ vs0(~ p0)0us(~ p) → †
s0 ~
· (~ p + ~ p0) 2m s ¯ vs0(~ p0)kus(~ p) → †
s0ks
<latexit sha1_base64="WGzPE6eJwOnzdxJR1virFWm+SK4=">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</latexit><latexit sha1_base64="WGzPE6eJwOnzdxJR1virFWm+SK4=">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</latexit><latexit sha1_base64="WGzPE6eJwOnzdxJR1virFWm+SK4=">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</latexit><latexit sha1_base64="WGzPE6eJwOnzdxJR1virFWm+SK4=">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</latexit>Non-rela5vis5c Limit:
¯ us0(~ p0)0us(~ p) → †
s0s
¯ us0(~ p0)kus(~ p) → 1 2m†
s0[(~
p + ~ p0) + i~ × (~ p0 − ~ p)]s
<latexit sha1_base64="iZd6B6cTyJBC26FEP1eR3baWdwI=">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</latexit><latexit sha1_base64="iZd6B6cTyJBC26FEP1eR3baWdwI=">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</latexit><latexit sha1_base64="iZd6B6cTyJBC26FEP1eR3baWdwI=">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</latexit><latexit sha1_base64="iZd6B6cTyJBC26FEP1eR3baWdwI=">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</latexit>Quark Model
i. The color part of the full-wave func5on is a color singlet , a completely three-color an?symmetric state.
an7symmetric under any permuta7on of the three quarks. SU(3)
<latexit sha1_base64="rpP/VdcrPtjd37KSl4P/ha1G9p4=">AB7HicbZBNSwMxEIZn/az1q+rRS7AI9VJ2VdBj0YvHim5baJeSTWfb0Gx2SbJCKf0NXjwo4tUf5M1/Y9ruQVtfCDy8M0Nm3jAVXBvX/XZWVtfWNzYLW8Xtnd29/dLBYUMnmWLos0QkqhVSjYJL9A03AlupQhqHApvh8HZabz6h0jyRj2aUYhDTvuQRZ9RYy3/wKxdn3VLZrbozkWXwcihDrnq39NXpJSyLURomqNZtz01NMKbKcCZwUuxkGlPKhrSPbYuSxqiD8WzZCTm1To9EibJPGjJzf0+Maz1KA5tZ0zNQC/WpuZ/tXZmoutgzGWaGZRs/lGUCWISMr2c9LhCZsTIAmWK210JG1BFmbH5FG0I3uLJy9A4r3qW7y/LtZs8jgIcwlUwIMrqMEd1MEHBhye4RXeHOm8O/Ox7x1xclnjuCPnM8fjZON2A=</latexit><latexit sha1_base64="rpP/VdcrPtjd37KSl4P/ha1G9p4=">AB7HicbZBNSwMxEIZn/az1q+rRS7AI9VJ2VdBj0YvHim5baJeSTWfb0Gx2SbJCKf0NXjwo4tUf5M1/Y9ruQVtfCDy8M0Nm3jAVXBvX/XZWVtfWNzYLW8Xtnd29/dLBYUMnmWLos0QkqhVSjYJL9A03AlupQhqHApvh8HZabz6h0jyRj2aUYhDTvuQRZ9RYy3/wKxdn3VLZrbozkWXwcihDrnq39NXpJSyLURomqNZtz01NMKbKcCZwUuxkGlPKhrSPbYuSxqiD8WzZCTm1To9EibJPGjJzf0+Maz1KA5tZ0zNQC/WpuZ/tXZmoutgzGWaGZRs/lGUCWISMr2c9LhCZsTIAmWK210JG1BFmbH5FG0I3uLJy9A4r3qW7y/LtZs8jgIcwlUwIMrqMEd1MEHBhye4RXeHOm8O/Ox7x1xclnjuCPnM8fjZON2A=</latexit><latexit sha1_base64="rpP/VdcrPtjd37KSl4P/ha1G9p4=">AB7HicbZBNSwMxEIZn/az1q+rRS7AI9VJ2VdBj0YvHim5baJeSTWfb0Gx2SbJCKf0NXjwo4tUf5M1/Y9ruQVtfCDy8M0Nm3jAVXBvX/XZWVtfWNzYLW8Xtnd29/dLBYUMnmWLos0QkqhVSjYJL9A03AlupQhqHApvh8HZabz6h0jyRj2aUYhDTvuQRZ9RYy3/wKxdn3VLZrbozkWXwcihDrnq39NXpJSyLURomqNZtz01NMKbKcCZwUuxkGlPKhrSPbYuSxqiD8WzZCTm1To9EibJPGjJzf0+Maz1KA5tZ0zNQC/WpuZ/tXZmoutgzGWaGZRs/lGUCWISMr2c9LhCZsTIAmWK210JG1BFmbH5FG0I3uLJy9A4r3qW7y/LtZs8jgIcwlUwIMrqMEd1MEHBhye4RXeHOm8O/Ox7x1xclnjuCPnM8fjZON2A=</latexit><latexit sha1_base64="rpP/VdcrPtjd37KSl4P/ha1G9p4=">AB7HicbZBNSwMxEIZn/az1q+rRS7AI9VJ2VdBj0YvHim5baJeSTWfb0Gx2SbJCKf0NXjwo4tUf5M1/Y9ruQVtfCDy8M0Nm3jAVXBvX/XZWVtfWNzYLW8Xtnd29/dLBYUMnmWLos0QkqhVSjYJL9A03AlupQhqHApvh8HZabz6h0jyRj2aUYhDTvuQRZ9RYy3/wKxdn3VLZrbozkWXwcihDrnq39NXpJSyLURomqNZtz01NMKbKcCZwUuxkGlPKhrSPbYuSxqiD8WzZCTm1To9EibJPGjJzf0+Maz1KA5tZ0zNQC/WpuZ/tXZmoutgzGWaGZRs/lGUCWISMr2c9LhCZsTIAmWK210JG1BFmbH5FG0I3uLJy9A4r3qW7y/LtZs8jgIcwlUwIMrqMEd1MEHBhye4RXeHOm8O/Ox7x1xclnjuCPnM8fjZON2A=</latexit>6
The spin wave func5ons with their maximum projec5on are given by
χ1/2
λ
= 1 p 6(2| ""#i | "#"i | #""i) χ1/2
ρ
= 1 p 2(| "#"i | #""i
<latexit sha1_base64="bo16gOQCy2Ji8FS9VWvliwmzlA=">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</latexit><latexit sha1_base64="bo16gOQCy2Ji8FS9VWvliwmzlA=">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</latexit><latexit sha1_base64="bo16gOQCy2Ji8FS9VWvliwmzlA=">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</latexit><latexit sha1_base64="bo16gOQCy2Ji8FS9VWvliwmzlA=">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</latexit>χ3/2
S
= | """i
<latexit sha1_base64="qztXUA4z5fpuvPU04aYQC+w1mQI=">ACOnicbVC7TsMwFHV4lvIqMLJEVFSIAZIywIJUwcLYCgpITalu3NvWquME2wFVId/FwlewMbAwgBArH4D7GKDlSJaPzrlH9j1+xJnSjvNiTU3PzM7NZxayi0vLK6u5tfVLFcaSYpWGPJTXPijkTGBVM83xOpIgc/xyu+e9v2rO5SKheJC9yKsB9AWrMUoaCM1chXPxzYTCd4KkBJ6u6lHO+wmOdgvpo3kPC0cFx68ODJeD9xSxBtjh6K5q98I5d39pwB7EnijkiejFBu5J69ZkjAIWmHJSquU6k6wlIzSjHNOvFCiOgXWhjzVABAap6Mlg9tbeN0rRboTRHaHug/k4kECjVC3wzGYDuqHGvL/7n1WLdOqonTESxRkGHD7VibuvQ7vdoN5lEqnPEKCSmb/atAMSqDZtZ0J7vjKk+SyuOcaXinmSyejOjJk2yRHeKSQ1IiZ6RMqoSR/JK3smH9WS9WZ/W13B0yhplNsgfWN8/K6uwEw=</latexit><latexit sha1_base64="qztXUA4z5fpuvPU04aYQC+w1mQI=">ACOnicbVC7TsMwFHV4lvIqMLJEVFSIAZIywIJUwcLYCgpITalu3NvWquME2wFVId/FwlewMbAwgBArH4D7GKDlSJaPzrlH9j1+xJnSjvNiTU3PzM7NZxayi0vLK6u5tfVLFcaSYpWGPJTXPijkTGBVM83xOpIgc/xyu+e9v2rO5SKheJC9yKsB9AWrMUoaCM1chXPxzYTCd4KkBJ6u6lHO+wmOdgvpo3kPC0cFx68ODJeD9xSxBtjh6K5q98I5d39pwB7EnijkiejFBu5J69ZkjAIWmHJSquU6k6wlIzSjHNOvFCiOgXWhjzVABAap6Mlg9tbeN0rRboTRHaHug/k4kECjVC3wzGYDuqHGvL/7n1WLdOqonTESxRkGHD7VibuvQ7vdoN5lEqnPEKCSmb/atAMSqDZtZ0J7vjKk+SyuOcaXinmSyejOjJk2yRHeKSQ1IiZ6RMqoSR/JK3smH9WS9WZ/W13B0yhplNsgfWN8/K6uwEw=</latexit><latexit sha1_base64="qztXUA4z5fpuvPU04aYQC+w1mQI=">ACOnicbVC7TsMwFHV4lvIqMLJEVFSIAZIywIJUwcLYCgpITalu3NvWquME2wFVId/FwlewMbAwgBArH4D7GKDlSJaPzrlH9j1+xJnSjvNiTU3PzM7NZxayi0vLK6u5tfVLFcaSYpWGPJTXPijkTGBVM83xOpIgc/xyu+e9v2rO5SKheJC9yKsB9AWrMUoaCM1chXPxzYTCd4KkBJ6u6lHO+wmOdgvpo3kPC0cFx68ODJeD9xSxBtjh6K5q98I5d39pwB7EnijkiejFBu5J69ZkjAIWmHJSquU6k6wlIzSjHNOvFCiOgXWhjzVABAap6Mlg9tbeN0rRboTRHaHug/k4kECjVC3wzGYDuqHGvL/7n1WLdOqonTESxRkGHD7VibuvQ7vdoN5lEqnPEKCSmb/atAMSqDZtZ0J7vjKk+SyuOcaXinmSyejOjJk2yRHeKSQ1IiZ6RMqoSR/JK3smH9WS9WZ/W13B0yhplNsgfWN8/K6uwEw=</latexit><latexit sha1_base64="qztXUA4z5fpuvPU04aYQC+w1mQI=">ACOnicbVC7TsMwFHV4lvIqMLJEVFSIAZIywIJUwcLYCgpITalu3NvWquME2wFVId/FwlewMbAwgBArH4D7GKDlSJaPzrlH9j1+xJnSjvNiTU3PzM7NZxayi0vLK6u5tfVLFcaSYpWGPJTXPijkTGBVM83xOpIgc/xyu+e9v2rO5SKheJC9yKsB9AWrMUoaCM1chXPxzYTCd4KkBJ6u6lHO+wmOdgvpo3kPC0cFx68ODJeD9xSxBtjh6K5q98I5d39pwB7EnijkiejFBu5J69ZkjAIWmHJSquU6k6wlIzSjHNOvFCiOgXWhjzVABAap6Mlg9tbeN0rRboTRHaHug/k4kECjVC3wzGYDuqHGvL/7n1WLdOqonTESxRkGHD7VibuvQ7vdoN5lEqnPEKCSmb/atAMSqDZtZ0J7vjKk+SyuOcaXinmSyejOjJk2yRHeKSQ1IiZ6RMqoSR/JK3smH9WS9WZ/W13B0yhplNsgfWN8/K6uwEw=</latexit>ψ = ψoφfχs | {z }
Symm
ψc |{z}
Antisymm
<latexit sha1_base64="mFmovmzRLqdPqVmodp4zipzSUxA=">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</latexit><latexit sha1_base64="H2FLYs9hezhxwZjGhvQhCO7wPEs=">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</latexit><latexit sha1_base64="H2FLYs9hezhxwZjGhvQhCO7wPEs=">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</latexit><latexit sha1_base64="nL+0FGxKFQCOWFD6Uow4wCJ/ys=">ACTnicbVG7TsMwFHXKq5RXgZHFokJiqhIWJAKLIxF0IfUtJXj3LQWjhPZDlIV5QtZEBufwcIAQuCkHUrLlWwdnXuO7vWxF3OmtG2/WaWV1bX1jfJmZWt7Z3evun/QVlEiKbRoxCPZ9YgCzgS0NMcurEnocOt7jTd7vPIFULBIPehJDPyQjwQJGiTbUsArYjRW7xG4ifJCeJBTSnBlEbjxmg8Cl5lbZME3dYlgqwc/w/SQMs2zJQ41uTnYlNFO5sjKs1uy6XReBs4M1NCsmsPq+tHNAlBaMqJUj3HjnU/JVIzyiGruImCmNBHMoKegYKEoPpMTrDJ4bxcRBJc4TGBTvSEmozF6eUYZEj9ViLyf/6/USHVz0UybiRIOg0FBwrGOcJ4t9pkEqvnEAEIlM7tiOiYmH21+IA/BWXzyMmif1R2D7+xa43oWRxkdoWN0ihx0jhroFjVRC1H0jN7RJ/qyXqwP69v6mUpL1sxziP5UqfwL6Um4YQ=</latexit>It is obtained by considering the eigenfunc5ons of the Hamiltonian of the quarks as an harmonic oscillator model. This Hamiltonian is responsible for the confinement of three quarks 1, 2 and 3 with masses [10] To obtain the analy5cal solu5ons, the rela5ve coordinates are used, The Hamiltonian now includes the movement of the center of mass, plus two harmonic oscillators and , with the same constant , but different masses
ρ
<latexit sha1_base64="X4cZmWrkf5sOLXJZjTWswYDjVw=">AB7HicbZC9TsMwFIVvyl8pfwFGCwqJKYqYGxgoWxlUhbqY0qx3Vaq4d2Q5SFfUZWBhAiJVn4DnY2HgUnLYDtBzJ0qdz75XvPVHKmTae9+WU1tY3NrfK25Wd3b39A/fwqKVlpgNiORSdSKsKWeCBoYZTjupojiJOG1H49ui3n6gSjMp7s0kpWGCh4LFjGBjraCnRrLSd6tezZsJrYK/gGr9KP5DQCNvZG0iSJVQYwrHWXd9LTZhjZRjhdFrpZqmIzxkHYtCpxQHeazZafo3DoDFEtlnzBo5v6eyHGi9SJbGeCzUgv1wrzv1o3M/F1mDORZoYKMv8ozjgyEhWXowFTlBg+sYCJYnZXREZYWJsPkUI/vLJq9C6rPmWmzaNG5irDCdwBhfgwxXU4Q4aEABo/wDC+OcJ6cV+dt3lpyFjPH8EfO+w9kH5Cc</latexit><latexit sha1_base64="u8cyJVgwdMi38Edh+lKlVf82Zo=">AB7HicbZDNSgMxFIXv+FvrX9WlIsEiuCozbnRZdOyBactEPJpJk2NJMSUYoQ5eu3bhQxK3P0Odw5zP4EmbaLrT1QODj3HvJvSdMONPGdb+cldW19Y3NwlZxe2d3b790cNjQMlWE+kRyqVoh1pQzQX3DKetRFEch5w2w+FtXm8+UKWZFPdmlNAgxn3BIkawsZbfUQNZ7JbKbsWdCi2DN4dy9WRS/348ndS6pc9OT5I0psIQjrVue25igwrwin42In1TBZIj7tG1R4JjqIJsuO0bn1umhSCr7hEFT9/dEhmOtR3FoO2NsBnqxlpv/1dqpia6DjIkNVSQ2UdRypGRKL8c9ZixPCRBUwUs7siMsAKE2PzyUPwFk9ehsZlxbNct2ncwEwFOIYzuAPrqAKd1ADHwgweIXeHWE8+y8Oe+z1hVnPnMEf+R8/ABCZJIC</latexit><latexit sha1_base64="u8cyJVgwdMi38Edh+lKlVf82Zo=">AB7HicbZDNSgMxFIXv+FvrX9WlIsEiuCozbnRZdOyBactEPJpJk2NJMSUYoQ5eu3bhQxK3P0Odw5zP4EmbaLrT1QODj3HvJvSdMONPGdb+cldW19Y3NwlZxe2d3b790cNjQMlWE+kRyqVoh1pQzQX3DKetRFEch5w2w+FtXm8+UKWZFPdmlNAgxn3BIkawsZbfUQNZ7JbKbsWdCi2DN4dy9WRS/348ndS6pc9OT5I0psIQjrVue25igwrwin42In1TBZIj7tG1R4JjqIJsuO0bn1umhSCr7hEFT9/dEhmOtR3FoO2NsBnqxlpv/1dqpia6DjIkNVSQ2UdRypGRKL8c9ZixPCRBUwUs7siMsAKE2PzyUPwFk9ehsZlxbNct2ncwEwFOIYzuAPrqAKd1ADHwgweIXeHWE8+y8Oe+z1hVnPnMEf+R8/ABCZJIC</latexit><latexit sha1_base64="/ApLbGHSxyhAK0uF/hf9yeHBkA=">AB7HicbZC7SgNBFIbPxluMt6ilzWAQrMKujZBG8sIbhJIljA7mU2GzGWZmRXCkmewsVDE1gey82cTbQxB8GPv5zDnPOH6ecGev7315lY3Nre6e6W9vbPzg8qh+fdIzKNKEhUVzpXowN5UzS0DLaS/VFIuY0248vSvq3SeqDVPy0c5SGgk8lixhBFtnhQM9UbVhveE3/YXQOgQlNKBUe1j/GowUyQSVlnBsTD/wUxvlWFtGOJ3XBpmhKSZTPKZ9hxILaqJ8sewcXThnhBKl3ZMWLdzfEzkWxsxE7DoFthOzWivM/2r9zCY3Uc5kmlkqyfKjJOPIKlRcjkZMU2L5zAEmrldEZlgjYl1+RQhBKsnr0Pnqhk4fvAbrdsyjiqcwTlcQgDX0IJ7aEMIBg8wyu8edJ78d69j2VrxStnTuGPvM8fVCWOVw=</latexit>λ
<latexit sha1_base64="k1g1zwZHS5lr3G9YuDY5Fr9YE=">AB73icbZDLSgMxFIbPeK3jrerSTbAIrsqMG92IRTcuK9gLtEPJZDJtaCYZk4xQhoLP4MaFIm59EvfufBszbRfa+kPg4/PIecMOVMG8/7dpaWV1bX1ksb7ubW9s5ueW+/qWmCG0QyaVqh1hTzgRtGY4baeK4iTktBUOr4u89UCVZlLcmVFKgwT3BYsZwcZa7S63pRF2e+WKV/UmQovgz6By+elePAJAvVf+6kaSZAkVhnCsdcf3UhPkWBlGOB273UzTFJMh7tORYETqoN8Mu8YHVsnQrFU9gmDJu7vjhwnWo+S0FYm2Az0fFaY/2WdzMTnQc5EmhkqyPSjOPISFQsjyKmKDF8ZAETxeysiAywsTYExVH8OdXoTmadW3fOtValcwVQkO4QhOwIczqMEN1KEBDg8wQu8OvfOs/PmvE9Ll5xZzwH8kfPxA+GUkVo=</latexit><latexit sha1_base64="wOT7A23wZ1gK95ZROD3hH25aMZs=">AB73icbZDLSsNAFIZP6q3GW9Wlm8EiuCqJG92IRTcuK9gLtKFMJpN26GQSZyZCX0JNy4UEVz5JO7diG/jpOlCW38Y+Pj/c5hzjp9wprTjfFulpeWV1bXyur2xubW9U9nda6k4lYQ2Scxj2fGxopwJ2tRMc9pJMWRz2nbH13lefueSsVicavHCfUiPBAsZARrY3V63JQG2O5Xqk7NmQotgjuD6sWHfZ68fdmNfuWzF8QkjajQhGOluq6TaC/DUjPC6cTupYomIzwgHYNChxR5WXTeSfoyDgBCmNpntBo6v7uyHCk1DjyTWE9VDNZ7n5X9ZNdXjmZUwkqaCFB+FKUc6RvnyKGCSEs3HBjCRzMyKyBLTLQ5UX4Ed37lRWid1FzDN061fgmFynAh3AMLpxCHa6hAU0gwOEBnuDZurMerRfrtSgtWbOefgj6/0H0yOSzg=</latexit><latexit sha1_base64="wOT7A23wZ1gK95ZROD3hH25aMZs=">AB73icbZDLSsNAFIZP6q3GW9Wlm8EiuCqJG92IRTcuK9gLtKFMJpN26GQSZyZCX0JNy4UEVz5JO7diG/jpOlCW38Y+Pj/c5hzjp9wprTjfFulpeWV1bXyur2xubW9U9nda6k4lYQ2Scxj2fGxopwJ2tRMc9pJMWRz2nbH13lefueSsVicavHCfUiPBAsZARrY3V63JQG2O5Xqk7NmQotgjuD6sWHfZ68fdmNfuWzF8QkjajQhGOluq6TaC/DUjPC6cTupYomIzwgHYNChxR5WXTeSfoyDgBCmNpntBo6v7uyHCk1DjyTWE9VDNZ7n5X9ZNdXjmZUwkqaCFB+FKUc6RvnyKGCSEs3HBjCRzMyKyBLTLQ5UX4Ed37lRWid1FzDN061fgmFynAh3AMLpxCHa6hAU0gwOEBnuDZurMerRfrtSgtWbOefgj6/0H0yOSzg=</latexit><latexit sha1_base64="YPRcZipztsR9WLw08AtkP8FSeQg=">AB73icbVDLSsNAFL3xWeur6tLNYBFclcSNLotuXFawD2hDmUwm7dDJM7cCX0J9y4UMStv+POv3HSZqGtBwYO5zL3HuCVAqDrvtrK1vbG5tV3aqu3v7B4e1o+OSTLNeJslMtG9gBouheJtFCh5L9WcxoHk3WByW/jdJ6NSNQDTlPux3SkRCQYRSv1BtJGQ1od1upuw52DrBKvJHUo0RrWvgZhwrKYK2SGtP3BT9nGoUTPJZdZAZnlI2oSPet1TRmBs/n+87I+dWCUmUaPsUkrn6eyKnsTHTOLDJmOLYLHuF+J/XzC69nOh0gy5YouPokwSTEhxPAmF5gzl1BLKtLC7EjamjK0FRUleMsnr5LOZcOz/N6tN2/KOipwCmdwAR5cQRPuoAVtYCDhGV7hzXl0Xpx352MRXPKmRP4A+fzB3Jcj40=</latexit>C
<latexit sha1_base64="uW4oav7Ke1g6uzWlQTpG7PSjRE=">AB6HicbZC7SwNBEMbnfMb4ilraLAbBKtzZaCMG01gmYB6QHGFvM5es2ds7dveEcATsbSwUsfWfsbfzv3HzKDTxg4Uf3zfDzkyQCK6N6347K6tr6xubua389s7u3n7h4LCh41QxrLNYxKoVUI2CS6wbgS2EoU0CgQ2g2FlkjcfUGkeyzszStCPaF/ykDNqrFWrdAtFt+RORZbBm0Px+jN/9QgA1W7hq9OLWRqhNExQrduemxg/o8pwJnCc76QaE8qGtI9ti5JGqP1sOuiYnFqnR8JY2ScNmbq/OzIaT2KAlsZUTPQi9nE/C9rpya89DMuk9SgZLOPwlQE5PJ1qTHFTIjRhYoU9zOStiAKsqMvU3eHsFbXHkZGuclz3LNLZvYKYcHMJnIEHF1CGW6hCHRgPMELvDr3zrPz5rzPSlecec8R/JHz8QMD7o6Q</latexit><latexit sha1_base64="oTf7HGpj/G6JIkIt9yR1oAbpKP4=">AB6HicbZC7SgNBFIbPxltcb1FLm8UgWIVdG23EYBrLBMwFkiXMTs4mY2Znl5lZISx5AhsLRWz1YextxLdxcik08YeBj/8/hznBAlnSrvut5VbWV1b38hv2lvbO7t7hf2DhopTSbFOYx7LVkAUciawrpnm2Eokijg2AyGlUnevEepWCxu9ShBPyJ9wUJGiTZWrdItFN2SO5WzDN4cilcf9mXy/mVXu4XPTi+maYRCU06Uantuov2MSM0ox7HdSRUmhA5JH9sGBYlQ+dl0LFzYpyeE8bSPKGdqfu7IyORUqMoMJUR0QO1mE3M/7J2qsMLP2MiSTUKOvsoTLmjY2eytdNjEqnmIwOESmZmdeiASEK1uY1tjuAtrwMjbOSZ7jmFsvXMFMejuAYTsGDcyjDVShDhQHuAJnq0769F6sV5npTlr3nMIf2S9/QD1bpAE</latexit><latexit sha1_base64="oTf7HGpj/G6JIkIt9yR1oAbpKP4=">AB6HicbZC7SgNBFIbPxltcb1FLm8UgWIVdG23EYBrLBMwFkiXMTs4mY2Znl5lZISx5AhsLRWz1YextxLdxcik08YeBj/8/hznBAlnSrvut5VbWV1b38hv2lvbO7t7hf2DhopTSbFOYx7LVkAUciawrpnm2Eokijg2AyGlUnevEepWCxu9ShBPyJ9wUJGiTZWrdItFN2SO5WzDN4cilcf9mXy/mVXu4XPTi+maYRCU06Uantuov2MSM0ox7HdSRUmhA5JH9sGBYlQ+dl0LFzYpyeE8bSPKGdqfu7IyORUqMoMJUR0QO1mE3M/7J2qsMLP2MiSTUKOvsoTLmjY2eytdNjEqnmIwOESmZmdeiASEK1uY1tjuAtrwMjbOSZ7jmFsvXMFMejuAYTsGDcyjDVShDhQHuAJnq0769F6sV5npTlr3nMIf2S9/QD1bpAE</latexit><latexit sha1_base64="lQP7tUz1AVNrShbaC7eI2HQhxMc=">AB6HicbZA9TwJBEIbn8AvxC7W02UhMrMidjZREGktI5COBC9lb5mBlb+yu2dCLvwCGwuNsfUn2flvXOAKBd9kyfvzGRn3iARXBvX/XYKW9s7u3vF/dLB4dHxSfn0rKPjVDFs1jEqhdQjYJLbBtuBPYShTQKBHaDaWNR7z6h0jyWD2aWoB/RseQhZ9RYq9UYlitu1V2KbIKXQwVyNYflr8EoZmE0jBte57bmL8jCrDmcB5aZBqTCib0jH2LUoaofaz5aJzcmWdEQljZ80ZOn+nshopPUsCmxnRM1Er9cW5n+1fmrCmp9xmaQGJVt9FKaCmJgsriYjrpAZMbNAmeJ2V8ImVFmbDYlG4K3fvImdG6qnuW6nf5XEU4QIu4Ro8uIU63EMT2sA4Rle4c15dF6cd+dj1Vpw8plz+CPn8weUp4zD</latexit>7
m1 = m2 6= m3
<latexit sha1_base64="Y49aHrRhbgZ7lyoW3+f8tJ3WbDo=">AB+HicbZDLSgMxFIYzXmu9tOrSTbAIrspMFXQjFN24rGAv0A5DJj3ThiaZMckIdeiTuHGhiFsfxZ1vY9rOQlt/CHz85xzOyR8mnGnjut/Oyura+sZmYau4vbO7VyrvH7R0nCoKTRrzWHVCoEzCU3DIdOoCIkEM7HN1M6+1HUJrF8t6ME/AFGUgWMUqMtYJySQTelQhqPQkPWARnQbniVt2Z8DJ4OVRQrkZQ/ur1Y5oKkIZyonXcxPjZ0QZRjlMir1UQ0LoiAyga1ESAdrPZodP8Il1+jiKlX3S4Jn7eyIjQuxCG2nIGaoF2tT879aNzXRpZ8xmaQGJ0vilKOTYynKeA+U0ANH1sgVDF7K6ZDog1NquiDcFb/PIytGpVz/LdeaV+ncdRQEfoGJ0iD12gOrpFDdREFKXoGb2iN+fJeXHenY9564qTzxyiP3I+fwBXe5I4</latexit><latexit sha1_base64="Y49aHrRhbgZ7lyoW3+f8tJ3WbDo=">AB+HicbZDLSgMxFIYzXmu9tOrSTbAIrspMFXQjFN24rGAv0A5DJj3ThiaZMckIdeiTuHGhiFsfxZ1vY9rOQlt/CHz85xzOyR8mnGnjut/Oyura+sZmYau4vbO7VyrvH7R0nCoKTRrzWHVCoEzCU3DIdOoCIkEM7HN1M6+1HUJrF8t6ME/AFGUgWMUqMtYJySQTelQhqPQkPWARnQbniVt2Z8DJ4OVRQrkZQ/ur1Y5oKkIZyonXcxPjZ0QZRjlMir1UQ0LoiAyga1ESAdrPZodP8Il1+jiKlX3S4Jn7eyIjQuxCG2nIGaoF2tT879aNzXRpZ8xmaQGJ0vilKOTYynKeA+U0ANH1sgVDF7K6ZDog1NquiDcFb/PIytGpVz/LdeaV+ncdRQEfoGJ0iD12gOrpFDdREFKXoGb2iN+fJeXHenY9564qTzxyiP3I+fwBXe5I4</latexit><latexit sha1_base64="Y49aHrRhbgZ7lyoW3+f8tJ3WbDo=">AB+HicbZDLSgMxFIYzXmu9tOrSTbAIrspMFXQjFN24rGAv0A5DJj3ThiaZMckIdeiTuHGhiFsfxZ1vY9rOQlt/CHz85xzOyR8mnGnjut/Oyura+sZmYau4vbO7VyrvH7R0nCoKTRrzWHVCoEzCU3DIdOoCIkEM7HN1M6+1HUJrF8t6ME/AFGUgWMUqMtYJySQTelQhqPQkPWARnQbniVt2Z8DJ4OVRQrkZQ/ur1Y5oKkIZyonXcxPjZ0QZRjlMir1UQ0LoiAyga1ESAdrPZodP8Il1+jiKlX3S4Jn7eyIjQuxCG2nIGaoF2tT879aNzXRpZ8xmaQGJ0vilKOTYynKeA+U0ANH1sgVDF7K6ZDog1NquiDcFb/PIytGpVz/LdeaV+ncdRQEfoGJ0iD12gOrpFDdREFKXoGb2iN+fJeXHenY9564qTzxyiP3I+fwBXe5I4</latexit><latexit sha1_base64="Y49aHrRhbgZ7lyoW3+f8tJ3WbDo=">AB+HicbZDLSgMxFIYzXmu9tOrSTbAIrspMFXQjFN24rGAv0A5DJj3ThiaZMckIdeiTuHGhiFsfxZ1vY9rOQlt/CHz85xzOyR8mnGnjut/Oyura+sZmYau4vbO7VyrvH7R0nCoKTRrzWHVCoEzCU3DIdOoCIkEM7HN1M6+1HUJrF8t6ME/AFGUgWMUqMtYJySQTelQhqPQkPWARnQbniVt2Z8DJ4OVRQrkZQ/ur1Y5oKkIZyonXcxPjZ0QZRjlMir1UQ0LoiAyga1ESAdrPZodP8Il1+jiKlX3S4Jn7eyIjQuxCG2nIGaoF2tT879aNzXRpZ8xmaQGJ0vilKOTYynKeA+U0ANH1sgVDF7K6ZDog1NquiDcFb/PIytGpVz/LdeaV+ncdRQEfoGJ0iD12gOrpFDdREFKXoGb2iN+fJeXHenY9564qTzxyiP3I+fwBXe5I4</latexit> ~ ⇢ =
1 √ 2(~
r1 − ~ r2), ~ =
1 √ 6(~
r1 + ~ r2 − 2~ r3), ~ R = m( ~
r1+ ~ r2)+m0 ~ r3 2m+m0
→ ~ r1 = ~ R +
1 √ 2~
⇢ + √
3 2 m02m+m0~
r2 = ~ R −
1 √ 2~
⇢ + √
3 2 m02m+m0~
r3 = ~ R −
√ 6m 2m+m0~
H = p12 2m + p22 2m + p32 2m0 + 1 2C
3
X
i<j
|~ ri − ~ rj|2
<latexit sha1_base64="owcMmaV0zKRjGkv5LjEV6qpmI=">ACWnicbZFdSxwxFIbPjK26q23XjztvQqVYKJWZ8UIvFBa90bstdFdhZ3fIZDMaTWamSUZYn6F/8wbEfavCGY/KnbtgcCb5z2HJG/SkjOlg+DJ8xc+fFxcWq7V1Y/f7SWFvqKShLZJwQt5kWJFOctpWzPN6UpKRYp+fpzcnYP7+lUrEi/62HJe0JfJmzjBGsHUoaf07REYoziYkxZRLafmRNJOyPVxTNIeTY3ozt/IWh29kTFKtKJIYdXtv+HrqLbykxMmH250xd27t+hJLGdrAbTAq9F+FMbDfP7kdNAGgljYd4UJBK0FwTjpXqhkGpewZLzQinth5XipaY3OBL2nUyx4KqnplEY9E3RwYoK6RbuUYT+nbCYKHUKSuU2B9pea9Mfyf1610dtAzLC8rTXMyPSirONIFGueMBkxSovnQCUwkc3dF5Aq7sLT7jboLIZx/8nvRiXZDp3+5NI5hWsuwBV/hO4SwD04hRa0gcAjPHuL3pI38n2/5q9MW31vNrMB/5S/+QJkqbw</latexit><latexit sha1_base64="x/R75ZyjfD+xz3WMEPQVS9yuVQI=">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</latexit><latexit sha1_base64="x/R75ZyjfD+xz3WMEPQVS9yuVQI=">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</latexit><latexit sha1_base64="kMA1IAs0sgC3FlBAaiLnuWA6gJ4=">ACWnicbZHNS8MwGMbT+rnNj/lx8xIcoiBKWw96UBC97KjgprBuJc1SzUzamqTCiPknvYjgvyKYzSo6fSHw5Pe8L0mexDmjUneq+NOTc/Mzs1XqrWFxaXl+spqW2aFwKSFM5aJmxhJwmhKWoqRm5yQRCPGbmO789H/vUjEZJm6ZUa5qTL0W1KE4qRsiqPzThCQwTgbDWeSbXmB0wM3uNwomELTsoGTbX9C3O3MOQ1nwSNPjgekdwKfwkWAtImr2SjUwT70ARvWGt+NC/4VfikaoKyLqP4c9jNcJIqzJCUHd/LVcjoShmxFTDQpIc4Xt0SzpWpogT2dXjaAzcsqQPk0zYlSo4pj8nNOJSDnlsOzlSd3LSG8H/vE6hkqOupmleKJLiz4OSgkGVwVHOsE8FwYoNrUBYUHtXiO+QDUvZ36jaEPzJ/8V7WDft/rSa5yelXHMgw2wCXaADw7BKWiC9ACGLyAd2fWmXPeXNetuLXPVtcpZ9bAr3LXPwBlX7S4</latexit>H = PCM
2
2M + pρ2 2mρ + pλ2 2mλ + 3 2Cρ2 + 3 2Cλ2
<latexit sha1_base64="UxGvT135bTMtu/4qr0GAx/HUlv0=">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</latexit><latexit sha1_base64="MGRklLApSk+g6tX3QLXISl6k+Q=">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</latexit><latexit sha1_base64="MGRklLApSk+g6tX3QLXISl6k+Q=">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</latexit><latexit sha1_base64="XdwHA0scQKyIg8LMESrH3q0ca4=">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</latexit>M = 2m + m0, mρ ≡ m, mλ ≡ 3mm0 2m + m0 .
<latexit sha1_base64="P9lTIajlnjmheLjfEDMabIO38=">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</latexit><latexit sha1_base64="YMvy8BMICqUeoyeSPvrJi/8DniQ=">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</latexit><latexit sha1_base64="YMvy8BMICqUeoyeSPvrJi/8DniQ=">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</latexit><latexit sha1_base64="650iuXOxfpZIZOCdi+xEM40ZcVM=">ACQnicbVDLSsNAFJ34rPVdelmsIiCUpK60I1QdONGqGCr0pQymd6YoTNJnJkUSsi3ufEL3PkBblwo4taF07SCWg8MHM65rzlezJnStv1kTU3PzM7NFxaKi0vLK6ultfWmihJoUEjHslrjyjgLISGZprDdSyBCI/Dldc7HfpXfZCKReGlHsTQFuQ2ZD6jRBupU7o5P6KPbGzj91AxYRC6lCRYdFxZRBh7MJdwvpYTNrc7OiS7wLXl4SmB0LsZGk+L6t0SmW7YufAk8QZkzIao94pPbrdiCYCQk05Uarl2LFup0RqRjlkRTdRYE7okVtoGRoSAaqd5hFkeNsoXexH0rxQ41z92ZESodRAeKZSEB2ov95Q/M9rJdo/aqcsjBMNIR0t8hOdYSHeIuk0A1HxhCqGTmVkwDYtLQJvWiCcH5+VJ0qxWHMv7HLtZBxHAW2iLbSLHSIaugM1VEDUXSPntErerMerBfr3foYlU5Z454N9AvW5xfNVa8u</latexit>α2
i = (3Cmi)
1 2 ,
ωi = r 3C mi , i = {ρ, λ, }.
<latexit sha1_base64="qem8GV3W/gq/F7rJy8OjIjBAlow=">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</latexit><latexit sha1_base64="e40kHvDPSmHrEN1sdoUXQiDhic=">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</latexit><latexit sha1_base64="e40kHvDPSmHrEN1sdoUXQiDhic=">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</latexit><latexit sha1_base64="30TMDEQNrOoCBMX0yrdZQXZVCs=">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</latexit>with its harmonic oscillator constant and frequency
[10] A. Hosaka, M. Takayama, and H. Toki, Nucl. Phys. A678, 147 (2000)
r1,~ r2,~ r3) = 1 (2⇡)3/2 e
~ PCM· ~ R rel B (~
⇢,~ ) =
<latexit sha1_base64="EcTQqYsLS5jwJ7ZVT/uaJ3HYDbc=">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</latexit><latexit sha1_base64="EcTQqYsLS5jwJ7ZVT/uaJ3HYDbc=">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</latexit><latexit sha1_base64="EcTQqYsLS5jwJ7ZVT/uaJ3HYDbc=">ADqHicnVJb9MwFHYTLqPcOnjkxaKa1E1jNCkSvCBN2wsSQipoXYfqNnIct7XmOJntTKos/zV+BG/8G5xLUen6gDhKlO+c83nBw7zjlTut/1fL8e/cfPNx71H785Omz539F5cqKyShI5LxTF7FWFHOB1pjm9yiXFaczpOL4+L/PjWyoVy8SFXuV0muKFYHNGsHahaL/1A8V0wYShNwJLiVdHFuWKzbLorIduKTHSRsHxGoV/0ODwI5pLTExgTS9EOTucmcHb0Fo6MyUHDiNz/sUikmS68r9VdaOzmYGSclsXR3KZ2WNY+6mTrD9j8JrPlI3UptB87HWwjqFM+XOKrbuTJVcGCNq+pEOdsIvbPQwvLZUjbD/aPYzfpmV+uwlJXQoZ2sdZuaWHvOaSORiSKNqWwjKpKNw4o63f5JvzJ4FwQN6ILGhlHnJ0oyUqRUaMKxUpOgn+upwVIzwqnrVCiaY3KNF3TioMApVNTXTQLD1wkgfNMuldoWEU3FQanSq3S2DFTrJdqO1cGd+UmhZ5/mBom8kJTQepG84JDncHy1sKESUo0XzmAiWRuVkiW2K1Ou7vdksItn/5LrgMTwKHv4bd07NmHXvgFXgNeiA78Ep+ASGYASId+B9i68kX/kD/2x/72meq1G8xL8ZX78G6RyNJc=</latexit><latexit sha1_base64="EcTQqYsLS5jwJ7ZVT/uaJ3HYDbc=">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</latexit>The wave func5on of the baryons of ground state are given by
8
The wave func5ons with one quantum of excita?on in and are
ρ
<latexit sha1_base64="X4cZmWrkf5sOLXJZjTWswYDjVw=">AB7HicbZC9TsMwFIVvyl8pfwFGCwqJKYqYGxgoWxlUhbqY0qx3Vaq4d2Q5SFfUZWBhAiJVn4DnY2HgUnLYDtBzJ0qdz75XvPVHKmTae9+WU1tY3NrfK25Wd3b39A/fwqKVlpgNiORSdSKsKWeCBoYZTjupojiJOG1H49ui3n6gSjMp7s0kpWGCh4LFjGBjraCnRrLSd6tezZsJrYK/gGr9KP5DQCNvZG0iSJVQYwrHWXd9LTZhjZRjhdFrpZqmIzxkHYtCpxQHeazZafo3DoDFEtlnzBo5v6eyHGi9SJbGeCzUgv1wrzv1o3M/F1mDORZoYKMv8ozjgyEhWXowFTlBg+sYCJYnZXREZYWJsPkUI/vLJq9C6rPmWmzaNG5irDCdwBhfgwxXU4Q4aEABo/wDC+OcJ6cV+dt3lpyFjPH8EfO+w9kH5Cc</latexit><latexit sha1_base64="u8cyJVgwdMi38Edh+lKlVf82Zo=">AB7HicbZDNSgMxFIXv+FvrX9WlIsEiuCozbnRZdOyBactEPJpJk2NJMSUYoQ5eu3bhQxK3P0Odw5zP4EmbaLrT1QODj3HvJvSdMONPGdb+cldW19Y3NwlZxe2d3b790cNjQMlWE+kRyqVoh1pQzQX3DKetRFEch5w2w+FtXm8+UKWZFPdmlNAgxn3BIkawsZbfUQNZ7JbKbsWdCi2DN4dy9WRS/348ndS6pc9OT5I0psIQjrVue25igwrwin42In1TBZIj7tG1R4JjqIJsuO0bn1umhSCr7hEFT9/dEhmOtR3FoO2NsBnqxlpv/1dqpia6DjIkNVSQ2UdRypGRKL8c9ZixPCRBUwUs7siMsAKE2PzyUPwFk9ehsZlxbNct2ncwEwFOIYzuAPrqAKd1ADHwgweIXeHWE8+y8Oe+z1hVnPnMEf+R8/ABCZJIC</latexit><latexit sha1_base64="u8cyJVgwdMi38Edh+lKlVf82Zo=">AB7HicbZDNSgMxFIXv+FvrX9WlIsEiuCozbnRZdOyBactEPJpJk2NJMSUYoQ5eu3bhQxK3P0Odw5zP4EmbaLrT1QODj3HvJvSdMONPGdb+cldW19Y3NwlZxe2d3b790cNjQMlWE+kRyqVoh1pQzQX3DKetRFEch5w2w+FtXm8+UKWZFPdmlNAgxn3BIkawsZbfUQNZ7JbKbsWdCi2DN4dy9WRS/348ndS6pc9OT5I0psIQjrVue25igwrwin42In1TBZIj7tG1R4JjqIJsuO0bn1umhSCr7hEFT9/dEhmOtR3FoO2NsBnqxlpv/1dqpia6DjIkNVSQ2UdRypGRKL8c9ZixPCRBUwUs7siMsAKE2PzyUPwFk9ehsZlxbNct2ncwEwFOIYzuAPrqAKd1ADHwgweIXeHWE8+y8Oe+z1hVnPnMEf+R8/ABCZJIC</latexit><latexit sha1_base64="/ApLbGHSxyhAK0uF/hf9yeHBkA=">AB7HicbZC7SgNBFIbPxluMt6ilzWAQrMKujZBG8sIbhJIljA7mU2GzGWZmRXCkmewsVDE1gey82cTbQxB8GPv5zDnPOH6ecGev7315lY3Nre6e6W9vbPzg8qh+fdIzKNKEhUVzpXowN5UzS0DLaS/VFIuY0248vSvq3SeqDVPy0c5SGgk8lixhBFtnhQM9UbVhveE3/YXQOgQlNKBUe1j/GowUyQSVlnBsTD/wUxvlWFtGOJ3XBpmhKSZTPKZ9hxILaqJ8sewcXThnhBKl3ZMWLdzfEzkWxsxE7DoFthOzWivM/2r9zCY3Uc5kmlkqyfKjJOPIKlRcjkZMU2L5zAEmrldEZlgjYl1+RQhBKsnr0Pnqhk4fvAbrdsyjiqcwTlcQgDX0IJ7aEMIBg8wyu8edJ78d69j2VrxStnTuGPvM8fVCWOVw=</latexit>rel
ρ (~
⇢,~ ) = 1 p 3 √ 3 0,0,0(~ ⇢) 1,1,mρ(~ ) =
<latexit sha1_base64="KHckA/PnjwIvnFOn9Y8VJWUxTWI=">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</latexit><latexit sha1_base64="KHckA/PnjwIvnFOn9Y8VJWUxTWI=">ADenicfVLdbtMwGHVTfkb56+ASIVmrgBbKSLIhdjNpghsuh0S3obqtHMdtrTlOZjuTKsvwLNx5NwVOnEHpEI6inJzj73zHn5wUnCkdht9bQfvGzVu3t+507t67/+Bhd/vRicpLSeiI5DyXZwlWlDNBR5pTs8KSXGWcHqanH+o9NLKhXLxWe9KugkwvB5oxg7ajZdusrSuiCUMvBJYSr15aVCg2Q3KZT42k3PbRJSWm+rdD6DF3/im2g8MOmktMTGQNUhdSm73mY62FtY0Jh+7xHrDyGDR8NIyG2czb2j70uvcdHML/+UKP/Y4De6WhgtUqnZrXdfgYIsyLJW6aTOM3se1UcIM3b50Av1SR/gRCS6w9doHrTr+LmsNPmwR71sSucdV/jdq30GWxsFPH8SXria5MqlCIinRt/LNuL9wN6wWvg6gBPdCs41n3G0pzUmZUaMKxUuMoLPTEYKkZ4dSduVS0wOQcL+jYQYEzqiamvjoWPnNMCue5dK/QsGbXKwzOlFpliduZYb1Um1pF/ksbl3p+MDFMFKWmgvhG85JDncPqHsKUSUo0XzmAiWQuKyRL7Man3W3tuCFEm0e+Dk7i3cjhT3Hv6H0zji3wBOyAPojAO3AEPoJjMAKk9SN4GjwPXgQ/2zvtQfuV3xq0mprH4K/V3v8Fg3ghJQ=</latexit><latexit sha1_base64="KHckA/PnjwIvnFOn9Y8VJWUxTWI=">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</latexit><latexit sha1_base64="KHckA/PnjwIvnFOn9Y8VJWUxTWI=">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</latexit>rel
λ (~
⇢,~ ) = 1 p 3 √ 3 0,0,0(~ ⇢) 1,1,mλ(~ ) =
<latexit sha1_base64="8Kd275F2keMkd1rwY/YEz7acPWY=">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</latexit><latexit sha1_base64="8Kd275F2keMkd1rwY/YEz7acPWY=">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</latexit><latexit sha1_base64="8Kd275F2keMkd1rwY/YEz7acPWY=">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</latexit><latexit sha1_base64="8Kd275F2keMkd1rwY/YEz7acPWY=">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</latexit>λ
<latexit sha1_base64="k1g1zwZHS5lr3G9YuDY5Fr9YE=">AB73icbZDLSgMxFIbPeK3jrerSTbAIrsqMG92IRTcuK9gLtEPJZDJtaCYZk4xQhoLP4MaFIm59EvfufBszbRfa+kPg4/PIecMOVMG8/7dpaWV1bX1ksb7ubW9s5ueW+/qWmCG0QyaVqh1hTzgRtGY4baeK4iTktBUOr4u89UCVZlLcmVFKgwT3BYsZwcZa7S63pRF2e+WKV/UmQovgz6By+elePAJAvVf+6kaSZAkVhnCsdcf3UhPkWBlGOB273UzTFJMh7tORYETqoN8Mu8YHVsnQrFU9gmDJu7vjhwnWo+S0FYm2Az0fFaY/2WdzMTnQc5EmhkqyPSjOPISFQsjyKmKDF8ZAETxeysiAywsTYExVH8OdXoTmadW3fOtValcwVQkO4QhOwIczqMEN1KEBDg8wQu8OvfOs/PmvE9Ll5xZzwH8kfPxA+GUkVo=</latexit><latexit sha1_base64="wOT7A23wZ1gK95ZROD3hH25aMZs=">AB73icbZDLSsNAFIZP6q3GW9Wlm8EiuCqJG92IRTcuK9gLtKFMJpN26GQSZyZCX0JNy4UEVz5JO7diG/jpOlCW38Y+Pj/c5hzjp9wprTjfFulpeWV1bXyur2xubW9U9nda6k4lYQ2Scxj2fGxopwJ2tRMc9pJMWRz2nbH13lefueSsVicavHCfUiPBAsZARrY3V63JQG2O5Xqk7NmQotgjuD6sWHfZ68fdmNfuWzF8QkjajQhGOluq6TaC/DUjPC6cTupYomIzwgHYNChxR5WXTeSfoyDgBCmNpntBo6v7uyHCk1DjyTWE9VDNZ7n5X9ZNdXjmZUwkqaCFB+FKUc6RvnyKGCSEs3HBjCRzMyKyBLTLQ5UX4Ed37lRWid1FzDN061fgmFynAh3AMLpxCHa6hAU0gwOEBnuDZurMerRfrtSgtWbOefgj6/0H0yOSzg=</latexit><latexit sha1_base64="wOT7A23wZ1gK95ZROD3hH25aMZs=">AB73icbZDLSsNAFIZP6q3GW9Wlm8EiuCqJG92IRTcuK9gLtKFMJpN26GQSZyZCX0JNy4UEVz5JO7diG/jpOlCW38Y+Pj/c5hzjp9wprTjfFulpeWV1bXyur2xubW9U9nda6k4lYQ2Scxj2fGxopwJ2tRMc9pJMWRz2nbH13lefueSsVicavHCfUiPBAsZARrY3V63JQG2O5Xqk7NmQotgjuD6sWHfZ68fdmNfuWzF8QkjajQhGOluq6TaC/DUjPC6cTupYomIzwgHYNChxR5WXTeSfoyDgBCmNpntBo6v7uyHCk1DjyTWE9VDNZ7n5X9ZNdXjmZUwkqaCFB+FKUc6RvnyKGCSEs3HBjCRzMyKyBLTLQ5UX4Ed37lRWid1FzDN061fgmFynAh3AMLpxCHa6hAU0gwOEBnuDZurMerRfrtSgtWbOefgj6/0H0yOSzg=</latexit><latexit sha1_base64="YPRcZipztsR9WLw08AtkP8FSeQg=">AB73icbVDLSsNAFL3xWeur6tLNYBFclcSNLotuXFawD2hDmUwm7dDJM7cCX0J9y4UMStv+POv3HSZqGtBwYO5zL3HuCVAqDrvtrK1vbG5tV3aqu3v7B4e1o+OSTLNeJslMtG9gBouheJtFCh5L9WcxoHk3WByW/jdJ6NSNQDTlPux3SkRCQYRSv1BtJGQ1od1upuw52DrBKvJHUo0RrWvgZhwrKYK2SGtP3BT9nGoUTPJZdZAZnlI2oSPet1TRmBs/n+87I+dWCUmUaPsUkrn6eyKnsTHTOLDJmOLYLHuF+J/XzC69nOh0gy5YouPokwSTEhxPAmF5gzl1BLKtLC7EjamjK0FRUleMsnr5LOZcOz/N6tN2/KOipwCmdwAR5cQRPuoAVtYCDhGV7hzXl0Xpx352MRXPKmRP4A+fzB3Jcj40=</latexit>gs
<latexit sha1_base64="kf2DTrUJ3DL+/8Ies58EfYuN1FM=">AB6XicbZBNS8NAEIYn9avWr6hHL4tF8FQSEfRY9OKxiv2ANpTNdtMu3WzC7kQof/AiwdFvPqPvPlv3LY5aOsLCw/vzLAzb5hKYdDzvp3S2vrG5lZ5u7Kzu7d/4B4etUySacabLJGJ7oTUcCkUb6JAyTup5jQOJW+H49tZvf3EtRGJesRJyoOYDpWIBKNorYeh6btVr+bNRVbBL6AKhRp96s3SFgWc4VMUmO6vpdikFONgk+rfQyw1PKxnTIuxYVjbkJ8vmU3JmnQGJEm2fQjJ3f0/kNDZmEoe2M6Y4Msu1mflfrZthdB3kQqUZcsUWH0WZJiQ2dlkIDRnKCcWKNPC7krYiGrK0IZTsSH4yevQui5lu+v6zWb4o4ynACp3AOPlxBHe6gAU1gEMEzvMKbM3ZenHfnY9FacoqZY/gj5/MHoB2NaA=</latexit><latexit sha1_base64="kf2DTrUJ3DL+/8Ies58EfYuN1FM=">AB6XicbZBNS8NAEIYn9avWr6hHL4tF8FQSEfRY9OKxiv2ANpTNdtMu3WzC7kQof/AiwdFvPqPvPlv3LY5aOsLCw/vzLAzb5hKYdDzvp3S2vrG5lZ5u7Kzu7d/4B4etUySacabLJGJ7oTUcCkUb6JAyTup5jQOJW+H49tZvf3EtRGJesRJyoOYDpWIBKNorYeh6btVr+bNRVbBL6AKhRp96s3SFgWc4VMUmO6vpdikFONgk+rfQyw1PKxnTIuxYVjbkJ8vmU3JmnQGJEm2fQjJ3f0/kNDZmEoe2M6Y4Msu1mflfrZthdB3kQqUZcsUWH0WZJiQ2dlkIDRnKCcWKNPC7krYiGrK0IZTsSH4yevQui5lu+v6zWb4o4ynACp3AOPlxBHe6gAU1gEMEzvMKbM3ZenHfnY9FacoqZY/gj5/MHoB2NaA=</latexit><latexit sha1_base64="kf2DTrUJ3DL+/8Ies58EfYuN1FM=">AB6XicbZBNS8NAEIYn9avWr6hHL4tF8FQSEfRY9OKxiv2ANpTNdtMu3WzC7kQof/AiwdFvPqPvPlv3LY5aOsLCw/vzLAzb5hKYdDzvp3S2vrG5lZ5u7Kzu7d/4B4etUySacabLJGJ7oTUcCkUb6JAyTup5jQOJW+H49tZvf3EtRGJesRJyoOYDpWIBKNorYeh6btVr+bNRVbBL6AKhRp96s3SFgWc4VMUmO6vpdikFONgk+rfQyw1PKxnTIuxYVjbkJ8vmU3JmnQGJEm2fQjJ3f0/kNDZmEoe2M6Y4Msu1mflfrZthdB3kQqUZcsUWH0WZJiQ2dlkIDRnKCcWKNPC7krYiGrK0IZTsSH4yevQui5lu+v6zWb4o4ynACp3AOPlxBHe6gAU1gEMEzvMKbM3ZenHfnY9FacoqZY/gj5/MHoB2NaA=</latexit><latexit sha1_base64="kf2DTrUJ3DL+/8Ies58EfYuN1FM=">AB6XicbZBNS8NAEIYn9avWr6hHL4tF8FQSEfRY9OKxiv2ANpTNdtMu3WzC7kQof/AiwdFvPqPvPlv3LY5aOsLCw/vzLAzb5hKYdDzvp3S2vrG5lZ5u7Kzu7d/4B4etUySacabLJGJ7oTUcCkUb6JAyTup5jQOJW+H49tZvf3EtRGJesRJyoOYDpWIBKNorYeh6btVr+bNRVbBL6AKhRp96s3SFgWc4VMUmO6vpdikFONgk+rfQyw1PKxnTIuxYVjbkJ8vmU3JmnQGJEm2fQjJ3f0/kNDZmEoe2M6Y4Msu1mflfrZthdB3kQqUZcsUWH0WZJiQ2dlkIDRnKCcWKNPC7krYiGrK0IZTsSH4yevQui5lu+v6zWb4o4ynACp3AOPlxBHe6gAU1gEMEzvMKbM3ZenHfnY9FacoqZY/gj5/MHoB2NaA=</latexit>gs
<latexit sha1_base64="kf2DTrUJ3DL+/8Ies58EfYuN1FM=">AB6XicbZBNS8NAEIYn9avWr6hHL4tF8FQSEfRY9OKxiv2ANpTNdtMu3WzC7kQof/AiwdFvPqPvPlv3LY5aOsLCw/vzLAzb5hKYdDzvp3S2vrG5lZ5u7Kzu7d/4B4etUySacabLJGJ7oTUcCkUb6JAyTup5jQOJW+H49tZvf3EtRGJesRJyoOYDpWIBKNorYeh6btVr+bNRVbBL6AKhRp96s3SFgWc4VMUmO6vpdikFONgk+rfQyw1PKxnTIuxYVjbkJ8vmU3JmnQGJEm2fQjJ3f0/kNDZmEoe2M6Y4Msu1mflfrZthdB3kQqUZcsUWH0WZJiQ2dlkIDRnKCcWKNPC7krYiGrK0IZTsSH4yevQui5lu+v6zWb4o4ynACp3AOPlxBHe6gAU1gEMEzvMKbM3ZenHfnY9FacoqZY/gj5/MHoB2NaA=</latexit><latexit sha1_base64="kf2DTrUJ3DL+/8Ies58EfYuN1FM=">AB6XicbZBNS8NAEIYn9avWr6hHL4tF8FQSEfRY9OKxiv2ANpTNdtMu3WzC7kQof/AiwdFvPqPvPlv3LY5aOsLCw/vzLAzb5hKYdDzvp3S2vrG5lZ5u7Kzu7d/4B4etUySacabLJGJ7oTUcCkUb6JAyTup5jQOJW+H49tZvf3EtRGJesRJyoOYDpWIBKNorYeh6btVr+bNRVbBL6AKhRp96s3SFgWc4VMUmO6vpdikFONgk+rfQyw1PKxnTIuxYVjbkJ8vmU3JmnQGJEm2fQjJ3f0/kNDZmEoe2M6Y4Msu1mflfrZthdB3kQqUZcsUWH0WZJiQ2dlkIDRnKCcWKNPC7krYiGrK0IZTsSH4yevQui5lu+v6zWb4o4ynACp3AOPlxBHe6gAU1gEMEzvMKbM3ZenHfnY9FacoqZY/gj5/MHoB2NaA=</latexit><latexit sha1_base64="kf2DTrUJ3DL+/8Ies58EfYuN1FM=">AB6XicbZBNS8NAEIYn9avWr6hHL4tF8FQSEfRY9OKxiv2ANpTNdtMu3WzC7kQof/AiwdFvPqPvPlv3LY5aOsLCw/vzLAzb5hKYdDzvp3S2vrG5lZ5u7Kzu7d/4B4etUySacabLJGJ7oTUcCkUb6JAyTup5jQOJW+H49tZvf3EtRGJesRJyoOYDpWIBKNorYeh6btVr+bNRVbBL6AKhRp96s3SFgWc4VMUmO6vpdikFONgk+rfQyw1PKxnTIuxYVjbkJ8vmU3JmnQGJEm2fQjJ3f0/kNDZmEoe2M6Y4Msu1mflfrZthdB3kQqUZcsUWH0WZJiQ2dlkIDRnKCcWKNPC7krYiGrK0IZTsSH4yevQui5lu+v6zWb4o4ynACp3AOPlxBHe6gAU1gEMEzvMKbM3ZenHfnY9FacoqZY/gj5/MHoB2NaA=</latexit><latexit sha1_base64="kf2DTrUJ3DL+/8Ies58EfYuN1FM=">AB6XicbZBNS8NAEIYn9avWr6hHL4tF8FQSEfRY9OKxiv2ANpTNdtMu3WzC7kQof/AiwdFvPqPvPlv3LY5aOsLCw/vzLAzb5hKYdDzvp3S2vrG5lZ5u7Kzu7d/4B4etUySacabLJGJ7oTUcCkUb6JAyTup5jQOJW+H49tZvf3EtRGJesRJyoOYDpWIBKNorYeh6btVr+bNRVbBL6AKhRp96s3SFgWc4VMUmO6vpdikFONgk+rfQyw1PKxnTIuxYVjbkJ8vmU3JmnQGJEm2fQjJ3f0/kNDZmEoe2M6Y4Msu1mflfrZthdB3kQqUZcsUWH0WZJiQ2dlkIDRnKCcWKNPC7krYiGrK0IZTsSH4yevQui5lu+v6zWb4o4ynACp3AOPlxBHe6gAU1gEMEzvMKbM3ZenHfnY9FacoqZY/gj5/MHoB2NaA=</latexit>ρ
<latexit sha1_base64="X4cZmWrkf5sOLXJZjTWswYDjVw=">AB7HicbZC9TsMwFIVvyl8pfwFGCwqJKYqYGxgoWxlUhbqY0qx3Vaq4d2Q5SFfUZWBhAiJVn4DnY2HgUnLYDtBzJ0qdz75XvPVHKmTae9+WU1tY3NrfK25Wd3b39A/fwqKVlpgNiORSdSKsKWeCBoYZTjupojiJOG1H49ui3n6gSjMp7s0kpWGCh4LFjGBjraCnRrLSd6tezZsJrYK/gGr9KP5DQCNvZG0iSJVQYwrHWXd9LTZhjZRjhdFrpZqmIzxkHYtCpxQHeazZafo3DoDFEtlnzBo5v6eyHGi9SJbGeCzUgv1wrzv1o3M/F1mDORZoYKMv8ozjgyEhWXowFTlBg+sYCJYnZXREZYWJsPkUI/vLJq9C6rPmWmzaNG5irDCdwBhfgwxXU4Q4aEABo/wDC+OcJ6cV+dt3lpyFjPH8EfO+w9kH5Cc</latexit><latexit sha1_base64="u8cyJVgwdMi38Edh+lKlVf82Zo=">AB7HicbZDNSgMxFIXv+FvrX9WlIsEiuCozbnRZdOyBactEPJpJk2NJMSUYoQ5eu3bhQxK3P0Odw5zP4EmbaLrT1QODj3HvJvSdMONPGdb+cldW19Y3NwlZxe2d3b790cNjQMlWE+kRyqVoh1pQzQX3DKetRFEch5w2w+FtXm8+UKWZFPdmlNAgxn3BIkawsZbfUQNZ7JbKbsWdCi2DN4dy9WRS/348ndS6pc9OT5I0psIQjrVue25igwrwin42In1TBZIj7tG1R4JjqIJsuO0bn1umhSCr7hEFT9/dEhmOtR3FoO2NsBnqxlpv/1dqpia6DjIkNVSQ2UdRypGRKL8c9ZixPCRBUwUs7siMsAKE2PzyUPwFk9ehsZlxbNct2ncwEwFOIYzuAPrqAKd1ADHwgweIXeHWE8+y8Oe+z1hVnPnMEf+R8/ABCZJIC</latexit><latexit sha1_base64="u8cyJVgwdMi38Edh+lKlVf82Zo=">AB7HicbZDNSgMxFIXv+FvrX9WlIsEiuCozbnRZdOyBactEPJpJk2NJMSUYoQ5eu3bhQxK3P0Odw5zP4EmbaLrT1QODj3HvJvSdMONPGdb+cldW19Y3NwlZxe2d3b790cNjQMlWE+kRyqVoh1pQzQX3DKetRFEch5w2w+FtXm8+UKWZFPdmlNAgxn3BIkawsZbfUQNZ7JbKbsWdCi2DN4dy9WRS/348ndS6pc9OT5I0psIQjrVue25igwrwin42In1TBZIj7tG1R4JjqIJsuO0bn1umhSCr7hEFT9/dEhmOtR3FoO2NsBnqxlpv/1dqpia6DjIkNVSQ2UdRypGRKL8c9ZixPCRBUwUs7siMsAKE2PzyUPwFk9ehsZlxbNct2ncwEwFOIYzuAPrqAKd1ADHwgweIXeHWE8+y8Oe+z1hVnPnMEf+R8/ABCZJIC</latexit><latexit sha1_base64="/ApLbGHSxyhAK0uF/hf9yeHBkA=">AB7HicbZC7SgNBFIbPxluMt6ilzWAQrMKujZBG8sIbhJIljA7mU2GzGWZmRXCkmewsVDE1gey82cTbQxB8GPv5zDnPOH6ecGev7315lY3Nre6e6W9vbPzg8qh+fdIzKNKEhUVzpXowN5UzS0DLaS/VFIuY0248vSvq3SeqDVPy0c5SGgk8lixhBFtnhQM9UbVhveE3/YXQOgQlNKBUe1j/GowUyQSVlnBsTD/wUxvlWFtGOJ3XBpmhKSZTPKZ9hxILaqJ8sewcXThnhBKl3ZMWLdzfEzkWxsxE7DoFthOzWivM/2r9zCY3Uc5kmlkqyfKjJOPIKlRcjkZMU2L5zAEmrldEZlgjYl1+RQhBKsnr0Pnqhk4fvAbrdsyjiqcwTlcQgDX0IJ7aEMIBg8wyu8edJ78d69j2VrxStnTuGPvM8fVCWOVw=</latexit>ρ
<latexit sha1_base64="X4cZmWrkf5sOLXJZjTWswYDjVw=">AB7HicbZC9TsMwFIVvyl8pfwFGCwqJKYqYGxgoWxlUhbqY0qx3Vaq4d2Q5SFfUZWBhAiJVn4DnY2HgUnLYDtBzJ0qdz75XvPVHKmTae9+WU1tY3NrfK25Wd3b39A/fwqKVlpgNiORSdSKsKWeCBoYZTjupojiJOG1H49ui3n6gSjMp7s0kpWGCh4LFjGBjraCnRrLSd6tezZsJrYK/gGr9KP5DQCNvZG0iSJVQYwrHWXd9LTZhjZRjhdFrpZqmIzxkHYtCpxQHeazZafo3DoDFEtlnzBo5v6eyHGi9SJbGeCzUgv1wrzv1o3M/F1mDORZoYKMv8ozjgyEhWXowFTlBg+sYCJYnZXREZYWJsPkUI/vLJq9C6rPmWmzaNG5irDCdwBhfgwxXU4Q4aEABo/wDC+OcJ6cV+dt3lpyFjPH8EfO+w9kH5Cc</latexit><latexit sha1_base64="u8cyJVgwdMi38Edh+lKlVf82Zo=">AB7HicbZDNSgMxFIXv+FvrX9WlIsEiuCozbnRZdOyBactEPJpJk2NJMSUYoQ5eu3bhQxK3P0Odw5zP4EmbaLrT1QODj3HvJvSdMONPGdb+cldW19Y3NwlZxe2d3b790cNjQMlWE+kRyqVoh1pQzQX3DKetRFEch5w2w+FtXm8+UKWZFPdmlNAgxn3BIkawsZbfUQNZ7JbKbsWdCi2DN4dy9WRS/348ndS6pc9OT5I0psIQjrVue25igwrwin42In1TBZIj7tG1R4JjqIJsuO0bn1umhSCr7hEFT9/dEhmOtR3FoO2NsBnqxlpv/1dqpia6DjIkNVSQ2UdRypGRKL8c9ZixPCRBUwUs7siMsAKE2PzyUPwFk9ehsZlxbNct2ncwEwFOIYzuAPrqAKd1ADHwgweIXeHWE8+y8Oe+z1hVnPnMEf+R8/ABCZJIC</latexit><latexit sha1_base64="u8cyJVgwdMi38Edh+lKlVf82Zo=">AB7HicbZDNSgMxFIXv+FvrX9WlIsEiuCozbnRZdOyBactEPJpJk2NJMSUYoQ5eu3bhQxK3P0Odw5zP4EmbaLrT1QODj3HvJvSdMONPGdb+cldW19Y3NwlZxe2d3b790cNjQMlWE+kRyqVoh1pQzQX3DKetRFEch5w2w+FtXm8+UKWZFPdmlNAgxn3BIkawsZbfUQNZ7JbKbsWdCi2DN4dy9WRS/348ndS6pc9OT5I0psIQjrVue25igwrwin42In1TBZIj7tG1R4JjqIJsuO0bn1umhSCr7hEFT9/dEhmOtR3FoO2NsBnqxlpv/1dqpia6DjIkNVSQ2UdRypGRKL8c9ZixPCRBUwUs7siMsAKE2PzyUPwFk9ehsZlxbNct2ncwEwFOIYzuAPrqAKd1ADHwgweIXeHWE8+y8Oe+z1hVnPnMEf+R8/ABCZJIC</latexit><latexit sha1_base64="/ApLbGHSxyhAK0uF/hf9yeHBkA=">AB7HicbZC7SgNBFIbPxluMt6ilzWAQrMKujZBG8sIbhJIljA7mU2GzGWZmRXCkmewsVDE1gey82cTbQxB8GPv5zDnPOH6ecGev7315lY3Nre6e6W9vbPzg8qh+fdIzKNKEhUVzpXowN5UzS0DLaS/VFIuY0248vSvq3SeqDVPy0c5SGgk8lixhBFtnhQM9UbVhveE3/YXQOgQlNKBUe1j/GowUyQSVlnBsTD/wUxvlWFtGOJ3XBpmhKSZTPKZ9hxILaqJ8sewcXThnhBKl3ZMWLdzfEzkWxsxE7DoFthOzWivM/2r9zCY3Uc5kmlkqyfKjJOPIKlRcjkZMU2L5zAEmrldEZlgjYl1+RQhBKsnr0Pnqhk4fvAbrdsyjiqcwTlcQgDX0IJ7aEMIBg8wyu8edJ78d69j2VrxStnTuGPvM8fVCWOVw=</latexit>λ
<latexit sha1_base64="k1g1zwZHS5lr3G9YuDY5Fr9YE=">AB73icbZDLSgMxFIbPeK3jrerSTbAIrsqMG92IRTcuK9gLtEPJZDJtaCYZk4xQhoLP4MaFIm59EvfufBszbRfa+kPg4/PIecMOVMG8/7dpaWV1bX1ksb7ubW9s5ueW+/qWmCG0QyaVqh1hTzgRtGY4baeK4iTktBUOr4u89UCVZlLcmVFKgwT3BYsZwcZa7S63pRF2e+WKV/UmQovgz6By+elePAJAvVf+6kaSZAkVhnCsdcf3UhPkWBlGOB273UzTFJMh7tORYETqoN8Mu8YHVsnQrFU9gmDJu7vjhwnWo+S0FYm2Az0fFaY/2WdzMTnQc5EmhkqyPSjOPISFQsjyKmKDF8ZAETxeysiAywsTYExVH8OdXoTmadW3fOtValcwVQkO4QhOwIczqMEN1KEBDg8wQu8OvfOs/PmvE9Ll5xZzwH8kfPxA+GUkVo=</latexit><latexit sha1_base64="wOT7A23wZ1gK95ZROD3hH25aMZs=">AB73icbZDLSsNAFIZP6q3GW9Wlm8EiuCqJG92IRTcuK9gLtKFMJpN26GQSZyZCX0JNy4UEVz5JO7diG/jpOlCW38Y+Pj/c5hzjp9wprTjfFulpeWV1bXyur2xubW9U9nda6k4lYQ2Scxj2fGxopwJ2tRMc9pJMWRz2nbH13lefueSsVicavHCfUiPBAsZARrY3V63JQG2O5Xqk7NmQotgjuD6sWHfZ68fdmNfuWzF8QkjajQhGOluq6TaC/DUjPC6cTupYomIzwgHYNChxR5WXTeSfoyDgBCmNpntBo6v7uyHCk1DjyTWE9VDNZ7n5X9ZNdXjmZUwkqaCFB+FKUc6RvnyKGCSEs3HBjCRzMyKyBLTLQ5UX4Ed37lRWid1FzDN061fgmFynAh3AMLpxCHa6hAU0gwOEBnuDZurMerRfrtSgtWbOefgj6/0H0yOSzg=</latexit><latexit sha1_base64="wOT7A23wZ1gK95ZROD3hH25aMZs=">AB73icbZDLSsNAFIZP6q3GW9Wlm8EiuCqJG92IRTcuK9gLtKFMJpN26GQSZyZCX0JNy4UEVz5JO7diG/jpOlCW38Y+Pj/c5hzjp9wprTjfFulpeWV1bXyur2xubW9U9nda6k4lYQ2Scxj2fGxopwJ2tRMc9pJMWRz2nbH13lefueSsVicavHCfUiPBAsZARrY3V63JQG2O5Xqk7NmQotgjuD6sWHfZ68fdmNfuWzF8QkjajQhGOluq6TaC/DUjPC6cTupYomIzwgHYNChxR5WXTeSfoyDgBCmNpntBo6v7uyHCk1DjyTWE9VDNZ7n5X9ZNdXjmZUwkqaCFB+FKUc6RvnyKGCSEs3HBjCRzMyKyBLTLQ5UX4Ed37lRWid1FzDN061fgmFynAh3AMLpxCHa6hAU0gwOEBnuDZurMerRfrtSgtWbOefgj6/0H0yOSzg=</latexit><latexit sha1_base64="YPRcZipztsR9WLw08AtkP8FSeQg=">AB73icbVDLSsNAFL3xWeur6tLNYBFclcSNLotuXFawD2hDmUwm7dDJM7cCX0J9y4UMStv+POv3HSZqGtBwYO5zL3HuCVAqDrvtrK1vbG5tV3aqu3v7B4e1o+OSTLNeJslMtG9gBouheJtFCh5L9WcxoHk3WByW/jdJ6NSNQDTlPux3SkRCQYRSv1BtJGQ1od1upuw52DrBKvJHUo0RrWvgZhwrKYK2SGtP3BT9nGoUTPJZdZAZnlI2oSPet1TRmBs/n+87I+dWCUmUaPsUkrn6eyKnsTHTOLDJmOLYLHuF+J/XzC69nOh0gy5YouPokwSTEhxPAmF5gzl1BLKtLC7EjamjK0FRUleMsnr5LOZcOz/N6tN2/KOipwCmdwAR5cQRPuoAVtYCDhGV7hzXl0Xpx352MRXPKmRP4A+fzB3Jcj40=</latexit>λ
<latexit sha1_base64="k1g1zwZHS5lr3G9YuDY5Fr9YE=">AB73icbZDLSgMxFIbPeK3jrerSTbAIrsqMG92IRTcuK9gLtEPJZDJtaCYZk4xQhoLP4MaFIm59EvfufBszbRfa+kPg4/PIecMOVMG8/7dpaWV1bX1ksb7ubW9s5ueW+/qWmCG0QyaVqh1hTzgRtGY4baeK4iTktBUOr4u89UCVZlLcmVFKgwT3BYsZwcZa7S63pRF2e+WKV/UmQovgz6By+elePAJAvVf+6kaSZAkVhnCsdcf3UhPkWBlGOB273UzTFJMh7tORYETqoN8Mu8YHVsnQrFU9gmDJu7vjhwnWo+S0FYm2Az0fFaY/2WdzMTnQc5EmhkqyPSjOPISFQsjyKmKDF8ZAETxeysiAywsTYExVH8OdXoTmadW3fOtValcwVQkO4QhOwIczqMEN1KEBDg8wQu8OvfOs/PmvE9Ll5xZzwH8kfPxA+GUkVo=</latexit><latexit sha1_base64="wOT7A23wZ1gK95ZROD3hH25aMZs=">AB73icbZDLSsNAFIZP6q3GW9Wlm8EiuCqJG92IRTcuK9gLtKFMJpN26GQSZyZCX0JNy4UEVz5JO7diG/jpOlCW38Y+Pj/c5hzjp9wprTjfFulpeWV1bXyur2xubW9U9nda6k4lYQ2Scxj2fGxopwJ2tRMc9pJMWRz2nbH13lefueSsVicavHCfUiPBAsZARrY3V63JQG2O5Xqk7NmQotgjuD6sWHfZ68fdmNfuWzF8QkjajQhGOluq6TaC/DUjPC6cTupYomIzwgHYNChxR5WXTeSfoyDgBCmNpntBo6v7uyHCk1DjyTWE9VDNZ7n5X9ZNdXjmZUwkqaCFB+FKUc6RvnyKGCSEs3HBjCRzMyKyBLTLQ5UX4Ed37lRWid1FzDN061fgmFynAh3AMLpxCHa6hAU0gwOEBnuDZurMerRfrtSgtWbOefgj6/0H0yOSzg=</latexit><latexit sha1_base64="wOT7A23wZ1gK95ZROD3hH25aMZs=">AB73icbZDLSsNAFIZP6q3GW9Wlm8EiuCqJG92IRTcuK9gLtKFMJpN26GQSZyZCX0JNy4UEVz5JO7diG/jpOlCW38Y+Pj/c5hzjp9wprTjfFulpeWV1bXyur2xubW9U9nda6k4lYQ2Scxj2fGxopwJ2tRMc9pJMWRz2nbH13lefueSsVicavHCfUiPBAsZARrY3V63JQG2O5Xqk7NmQotgjuD6sWHfZ68fdmNfuWzF8QkjajQhGOluq6TaC/DUjPC6cTupYomIzwgHYNChxR5WXTeSfoyDgBCmNpntBo6v7uyHCk1DjyTWE9VDNZ7n5X9ZNdXjmZUwkqaCFB+FKUc6RvnyKGCSEs3HBjCRzMyKyBLTLQ5UX4Ed37lRWid1FzDN061fgmFynAh3AMLpxCHa6hAU0gwOEBnuDZurMerRfrtSgtWbOefgj6/0H0yOSzg=</latexit><latexit sha1_base64="YPRcZipztsR9WLw08AtkP8FSeQg=">AB73icbVDLSsNAFL3xWeur6tLNYBFclcSNLotuXFawD2hDmUwm7dDJM7cCX0J9y4UMStv+POv3HSZqGtBwYO5zL3HuCVAqDrvtrK1vbG5tV3aqu3v7B4e1o+OSTLNeJslMtG9gBouheJtFCh5L9WcxoHk3WByW/jdJ6NSNQDTlPux3SkRCQYRSv1BtJGQ1od1upuw52DrBKvJHUo0RrWvgZhwrKYK2SGtP3BT9nGoUTPJZdZAZnlI2oSPet1TRmBs/n+87I+dWCUmUaPsUkrn6eyKnsTHTOLDJmOLYLHuF+J/XzC69nOh0gy5YouPokwSTEhxPAmF5gzl1BLKtLC7EjamjK0FRUleMsnr5LOZcOz/N6tN2/KOipwCmdwAR5cQRPuoAVtYCDhGV7hzXl0Xpx352MRXPKmRP4A+fzB3Jcj40=</latexit>m = m1 = m2 < m3 = m0
<latexit sha1_base64="L9LFNdJZx5UuGT6+YtMZbUVkHwI=">ACAXicbZBNS8MwGMfT+TbnW9WL4CU4RE+jnYIyHAy9eJzgXmAtJc3SLSxpS5IKo8yLX8WLB0W8+i28+W1Mtx508w+BX/7P85A8fz9mVCrL+jYKS8srq2vF9dLG5tb2jrm715ZRIjBp4YhFousjSRgNSUtRxUg3FgRxn5GOP7rJ6p0HIiSNwns1jonL0SCkAcVIacszD3jdqTk17tl17lWvuHeWXev8xDPLVsWaCi6CnUMZ5Gp65pfTj3DCSagwQ1L2bCtWboqEopiRSclJIkRHqEB6WkMESfSTacbTOCxdvowiIQ+oYJT9/dEiriUY+7rTo7UM7XMvO/Wi9RwaWb0jBOFAnx7KEgYVBFMIsD9qkgWLGxBoQF1X+FeIgEwkqHVtIh2PMrL0K7WrE1352XG9d5HEVwCI7AKbDBWiAW9AELYDBI3gGr+DNeDJejHfjY9ZaMPKZfBHxucPWPmU4Q=</latexit><latexit sha1_base64="L9LFNdJZx5UuGT6+YtMZbUVkHwI=">ACAXicbZBNS8MwGMfT+TbnW9WL4CU4RE+jnYIyHAy9eJzgXmAtJc3SLSxpS5IKo8yLX8WLB0W8+i28+W1Mtx508w+BX/7P85A8fz9mVCrL+jYKS8srq2vF9dLG5tb2jrm715ZRIjBp4YhFousjSRgNSUtRxUg3FgRxn5GOP7rJ6p0HIiSNwns1jonL0SCkAcVIacszD3jdqTk17tl17lWvuHeWXev8xDPLVsWaCi6CnUMZ5Gp65pfTj3DCSagwQ1L2bCtWboqEopiRSclJIkRHqEB6WkMESfSTacbTOCxdvowiIQ+oYJT9/dEiriUY+7rTo7UM7XMvO/Wi9RwaWb0jBOFAnx7KEgYVBFMIsD9qkgWLGxBoQF1X+FeIgEwkqHVtIh2PMrL0K7WrE1352XG9d5HEVwCI7AKbDBWiAW9AELYDBI3gGr+DNeDJejHfjY9ZaMPKZfBHxucPWPmU4Q=</latexit><latexit sha1_base64="L9LFNdJZx5UuGT6+YtMZbUVkHwI=">ACAXicbZBNS8MwGMfT+TbnW9WL4CU4RE+jnYIyHAy9eJzgXmAtJc3SLSxpS5IKo8yLX8WLB0W8+i28+W1Mtx508w+BX/7P85A8fz9mVCrL+jYKS8srq2vF9dLG5tb2jrm715ZRIjBp4YhFousjSRgNSUtRxUg3FgRxn5GOP7rJ6p0HIiSNwns1jonL0SCkAcVIacszD3jdqTk17tl17lWvuHeWXev8xDPLVsWaCi6CnUMZ5Gp65pfTj3DCSagwQ1L2bCtWboqEopiRSclJIkRHqEB6WkMESfSTacbTOCxdvowiIQ+oYJT9/dEiriUY+7rTo7UM7XMvO/Wi9RwaWb0jBOFAnx7KEgYVBFMIsD9qkgWLGxBoQF1X+FeIgEwkqHVtIh2PMrL0K7WrE1352XG9d5HEVwCI7AKbDBWiAW9AELYDBI3gGr+DNeDJejHfjY9ZaMPKZfBHxucPWPmU4Q=</latexit><latexit sha1_base64="L9LFNdJZx5UuGT6+YtMZbUVkHwI=">ACAXicbZBNS8MwGMfT+TbnW9WL4CU4RE+jnYIyHAy9eJzgXmAtJc3SLSxpS5IKo8yLX8WLB0W8+i28+W1Mtx508w+BX/7P85A8fz9mVCrL+jYKS8srq2vF9dLG5tb2jrm715ZRIjBp4YhFousjSRgNSUtRxUg3FgRxn5GOP7rJ6p0HIiSNwns1jonL0SCkAcVIacszD3jdqTk17tl17lWvuHeWXev8xDPLVsWaCi6CnUMZ5Gp65pfTj3DCSagwQ1L2bCtWboqEopiRSclJIkRHqEB6WkMESfSTacbTOCxdvowiIQ+oYJT9/dEiriUY+7rTo7UM7XMvO/Wi9RwaWb0jBOFAnx7KEgYVBFMIsD9qkgWLGxBoQF1X+FeIgEwkqHVtIh2PMrL0K7WrE1352XG9d5HEVwCI7AKbDBWiAW9AELYDBI3gGr+DNeDJejHfjY9ZaMPKZfBHxucPWPmU4Q=</latexit>m1 = m2 > m3
<latexit sha1_base64="H4aPlerlnSny2lZYwQUZ4ZgbfNQ=">AB8nicbZDLSgMxFIbPeK31VnXpJlgEV2WmCrpRim5cVrAXmA5DJs20oUlmSDJCGfoYblwo4tancefbmLaz0NYfAh/OYec80cpZ9q47rezsrq2vrFZ2ipv7+zu7VcODts6yRShLZLwRHUjrClnkrYM5x2U0WxiDjtRKO7ab3zRJVmiXw045QGAg8kixnBxlq+CL1rEdZvRHgeVqpuzZ0JLYNXQBUKNcPKV6+fkExQaQjHWvuem5ogx8owumk3Ms0TEZ4QH1LUosqA7y2coTdGqdPoTZ80aOb+nsix0HosItspsBnqxdrU/K/mZya+CnIm08xQSeYfxRlHJkHT+1GfKUoMH1vARDG7KyJDrDAxNqWyDcFbPHkZ2vWaZ/nhotq4LeIowTGcwBl4cAkNuIcmtIBAs/wCm+OcV6cd+dj3riFDNH8EfO5w/xO5Bd</latexit><latexit sha1_base64="H4aPlerlnSny2lZYwQUZ4ZgbfNQ=">AB8nicbZDLSgMxFIbPeK31VnXpJlgEV2WmCrpRim5cVrAXmA5DJs20oUlmSDJCGfoYblwo4tancefbmLaz0NYfAh/OYec80cpZ9q47rezsrq2vrFZ2ipv7+zu7VcODts6yRShLZLwRHUjrClnkrYM5x2U0WxiDjtRKO7ab3zRJVmiXw045QGAg8kixnBxlq+CL1rEdZvRHgeVqpuzZ0JLYNXQBUKNcPKV6+fkExQaQjHWvuem5ogx8owumk3Ms0TEZ4QH1LUosqA7y2coTdGqdPoTZ80aOb+nsix0HosItspsBnqxdrU/K/mZya+CnIm08xQSeYfxRlHJkHT+1GfKUoMH1vARDG7KyJDrDAxNqWyDcFbPHkZ2vWaZ/nhotq4LeIowTGcwBl4cAkNuIcmtIBAs/wCm+OcV6cd+dj3riFDNH8EfO5w/xO5Bd</latexit><latexit sha1_base64="H4aPlerlnSny2lZYwQUZ4ZgbfNQ=">AB8nicbZDLSgMxFIbPeK31VnXpJlgEV2WmCrpRim5cVrAXmA5DJs20oUlmSDJCGfoYblwo4tancefbmLaz0NYfAh/OYec80cpZ9q47rezsrq2vrFZ2ipv7+zu7VcODts6yRShLZLwRHUjrClnkrYM5x2U0WxiDjtRKO7ab3zRJVmiXw045QGAg8kixnBxlq+CL1rEdZvRHgeVqpuzZ0JLYNXQBUKNcPKV6+fkExQaQjHWvuem5ogx8owumk3Ms0TEZ4QH1LUosqA7y2coTdGqdPoTZ80aOb+nsix0HosItspsBnqxdrU/K/mZya+CnIm08xQSeYfxRlHJkHT+1GfKUoMH1vARDG7KyJDrDAxNqWyDcFbPHkZ2vWaZ/nhotq4LeIowTGcwBl4cAkNuIcmtIBAs/wCm+OcV6cd+dj3riFDNH8EfO5w/xO5Bd</latexit><latexit sha1_base64="H4aPlerlnSny2lZYwQUZ4ZgbfNQ=">AB8nicbZDLSgMxFIbPeK31VnXpJlgEV2WmCrpRim5cVrAXmA5DJs20oUlmSDJCGfoYblwo4tancefbmLaz0NYfAh/OYec80cpZ9q47rezsrq2vrFZ2ipv7+zu7VcODts6yRShLZLwRHUjrClnkrYM5x2U0WxiDjtRKO7ab3zRJVmiXw045QGAg8kixnBxlq+CL1rEdZvRHgeVqpuzZ0JLYNXQBUKNcPKV6+fkExQaQjHWvuem5ogx8owumk3Ms0TEZ4QH1LUosqA7y2coTdGqdPoTZ80aOb+nsix0HosItspsBnqxdrU/K/mZya+CnIm08xQSeYfxRlHJkHT+1GfKUoMH1vARDG7KyJDrDAxNqWyDcFbPHkZ2vWaZ/nhotq4LeIowTGcwBl4cAkNuIcmtIBAs/wCm+OcV6cd+dj3riFDNH8EfO5w/xO5Bd</latexit>mλ > mρ
<latexit sha1_base64="yVfw7QECw8Rfs8KTeOLFlwQKnpg=">AB+XicbZDLSsNAFIZP6q3W9Slm2ARXJVEBF1J0Y3LCvYCbQiTyaQdOpcwMymU0Ddx40IRt76JO9/GaZuFVn8Y+PjPOZwzf5wxqo3vfzmVtfWNza3qdm1nd2/wD086miZK0zaWDKpejHShFB2oYaRnqZIojHjHTj8d283p0QpakUj2akZCjoaApxchYK3JdHg2YbU/QjSU1kpFb9xv+Qt5fCEqoQ6lW5H4OEolzToTBDGndD/zMhAVShmJGZrVBrkmG8BgNSd+iQJzosFhcPvPOrJN4qVT2CeMt3J8TBeJaT3lsOzkyI71am5v/1fq5Sa/DgosN0Tg5aI0Z56R3jwGL6GKYMOmFhBW1N7q4RFSCBsbVs2GEKx+S90LhqB5YfLevO2jKMKJ3AK5xDAFThHlrQBgwTeIXeHUK59l5c96XrRWnDmGX3I+vgFuWZOD</latexit><latexit sha1_base64="yVfw7QECw8Rfs8KTeOLFlwQKnpg=">AB+XicbZDLSsNAFIZP6q3W9Slm2ARXJVEBF1J0Y3LCvYCbQiTyaQdOpcwMymU0Ddx40IRt76JO9/GaZuFVn8Y+PjPOZwzf5wxqo3vfzmVtfWNza3qdm1nd2/wD086miZK0zaWDKpejHShFB2oYaRnqZIojHjHTj8d283p0QpakUj2akZCjoaApxchYK3JdHg2YbU/QjSU1kpFb9xv+Qt5fCEqoQ6lW5H4OEolzToTBDGndD/zMhAVShmJGZrVBrkmG8BgNSd+iQJzosFhcPvPOrJN4qVT2CeMt3J8TBeJaT3lsOzkyI71am5v/1fq5Sa/DgosN0Tg5aI0Z56R3jwGL6GKYMOmFhBW1N7q4RFSCBsbVs2GEKx+S90LhqB5YfLevO2jKMKJ3AK5xDAFThHlrQBgwTeIXeHUK59l5c96XrRWnDmGX3I+vgFuWZOD</latexit><latexit sha1_base64="yVfw7QECw8Rfs8KTeOLFlwQKnpg=">AB+XicbZDLSsNAFIZP6q3W9Slm2ARXJVEBF1J0Y3LCvYCbQiTyaQdOpcwMymU0Ddx40IRt76JO9/GaZuFVn8Y+PjPOZwzf5wxqo3vfzmVtfWNza3qdm1nd2/wD086miZK0zaWDKpejHShFB2oYaRnqZIojHjHTj8d283p0QpakUj2akZCjoaApxchYK3JdHg2YbU/QjSU1kpFb9xv+Qt5fCEqoQ6lW5H4OEolzToTBDGndD/zMhAVShmJGZrVBrkmG8BgNSd+iQJzosFhcPvPOrJN4qVT2CeMt3J8TBeJaT3lsOzkyI71am5v/1fq5Sa/DgosN0Tg5aI0Z56R3jwGL6GKYMOmFhBW1N7q4RFSCBsbVs2GEKx+S90LhqB5YfLevO2jKMKJ3AK5xDAFThHlrQBgwTeIXeHUK59l5c96XrRWnDmGX3I+vgFuWZOD</latexit><latexit sha1_base64="yVfw7QECw8Rfs8KTeOLFlwQKnpg=">AB+XicbZDLSsNAFIZP6q3W9Slm2ARXJVEBF1J0Y3LCvYCbQiTyaQdOpcwMymU0Ddx40IRt76JO9/GaZuFVn8Y+PjPOZwzf5wxqo3vfzmVtfWNza3qdm1nd2/wD086miZK0zaWDKpejHShFB2oYaRnqZIojHjHTj8d283p0QpakUj2akZCjoaApxchYK3JdHg2YbU/QjSU1kpFb9xv+Qt5fCEqoQ6lW5H4OEolzToTBDGndD/zMhAVShmJGZrVBrkmG8BgNSd+iQJzosFhcPvPOrJN4qVT2CeMt3J8TBeJaT3lsOzkyI71am5v/1fq5Sa/DgosN0Tg5aI0Z56R3jwGL6GKYMOmFhBW1N7q4RFSCBsbVs2GEKx+S90LhqB5YfLevO2jKMKJ3AK5xDAFThHlrQBgwTeIXeHUK59l5c96XrRWnDmGX3I+vgFuWZOD</latexit>mλ < mρ
<latexit sha1_base64="w+AjEtE/lg3y80aOw1+w5MCeZ90=">AB+XicbZDLSsNAFIZP6q3W9Slm2ARXJVEBF24KLpxWcFeoA1hMpm0Q+cSZiaFEvomblwo4tY3cefbOG2z0OoPAx/OYdz5o8zRrXx/S+nsra+sblV3a7t7O7tH7iHRx0tc4VJG0smVS9GmjAqSNtQw0gvUwTxmJFuPL6b17sTojSV4tFMxJyNBQ0pRgZa0Wuy6MBs+0JurGkRjJy637DX8j7C0EJdSjVitzPQSJxzokwmCGt+4GfmbBAylDMyKw2yDXJEB6jIelbFIgTHRaLy2femXUSL5XKPmG8hftzokBc6ymPbSdHZqRXa3Pzv1o/N+l1WFCR5YIvFyU5swz0pvH4CVUEWzY1ALCitpbPTxCmFjw6rZEILVL/+FzkUjsPxwW/elnFU4QRO4RwCuIm3EML2oBhAk/wAq9O4Tw7b87srXilDPH8EvOxzdrRZOB</latexit><latexit sha1_base64="w+AjEtE/lg3y80aOw1+w5MCeZ90=">AB+XicbZDLSsNAFIZP6q3W9Slm2ARXJVEBF24KLpxWcFeoA1hMpm0Q+cSZiaFEvomblwo4tY3cefbOG2z0OoPAx/OYdz5o8zRrXx/S+nsra+sblV3a7t7O7tH7iHRx0tc4VJG0smVS9GmjAqSNtQw0gvUwTxmJFuPL6b17sTojSV4tFMxJyNBQ0pRgZa0Wuy6MBs+0JurGkRjJy637DX8j7C0EJdSjVitzPQSJxzokwmCGt+4GfmbBAylDMyKw2yDXJEB6jIelbFIgTHRaLy2femXUSL5XKPmG8hftzokBc6ymPbSdHZqRXa3Pzv1o/N+l1WFCR5YIvFyU5swz0pvH4CVUEWzY1ALCitpbPTxCmFjw6rZEILVL/+FzkUjsPxwW/elnFU4QRO4RwCuIm3EML2oBhAk/wAq9O4Tw7b87srXilDPH8EvOxzdrRZOB</latexit><latexit sha1_base64="w+AjEtE/lg3y80aOw1+w5MCeZ90=">AB+XicbZDLSsNAFIZP6q3W9Slm2ARXJVEBF24KLpxWcFeoA1hMpm0Q+cSZiaFEvomblwo4tY3cefbOG2z0OoPAx/OYdz5o8zRrXx/S+nsra+sblV3a7t7O7tH7iHRx0tc4VJG0smVS9GmjAqSNtQw0gvUwTxmJFuPL6b17sTojSV4tFMxJyNBQ0pRgZa0Wuy6MBs+0JurGkRjJy637DX8j7C0EJdSjVitzPQSJxzokwmCGt+4GfmbBAylDMyKw2yDXJEB6jIelbFIgTHRaLy2femXUSL5XKPmG8hftzokBc6ymPbSdHZqRXa3Pzv1o/N+l1WFCR5YIvFyU5swz0pvH4CVUEWzY1ALCitpbPTxCmFjw6rZEILVL/+FzkUjsPxwW/elnFU4QRO4RwCuIm3EML2oBhAk/wAq9O4Tw7b87srXilDPH8EvOxzdrRZOB</latexit><latexit sha1_base64="w+AjEtE/lg3y80aOw1+w5MCeZ90=">AB+XicbZDLSsNAFIZP6q3W9Slm2ARXJVEBF24KLpxWcFeoA1hMpm0Q+cSZiaFEvomblwo4tY3cefbOG2z0OoPAx/OYdz5o8zRrXx/S+nsra+sblV3a7t7O7tH7iHRx0tc4VJG0smVS9GmjAqSNtQw0gvUwTxmJFuPL6b17sTojSV4tFMxJyNBQ0pRgZa0Wuy6MBs+0JurGkRjJy637DX8j7C0EJdSjVitzPQSJxzokwmCGt+4GfmbBAylDMyKw2yDXJEB6jIelbFIgTHRaLy2femXUSL5XKPmG8hftzokBc6ymPbSdHZqRXa3Pzv1o/N+l1WFCR5YIvFyU5swz0pvH4CVUEWzY1ALCitpbPTxCmFjw6rZEILVL/+FzkUjsPxwW/elnFU4QRO4RwCuIm3EML2oBhAk/wAq9O4Tw7b87srXilDPH8EvOxzdrRZOB</latexit>ωλ < ωρ
<latexit sha1_base64="x9Uq16Z0kj56+gu1UrFCsTWUCbI=">ACA3icbVBLSwMxGMzWV62vVW96CRbBU9kVQ8eil48VrAPaJclm82oXksSVYoS8GLf8WLB0W8+ie8+W9M2xW0dSAwmfmG5JsoZVQbz/tySkvLK6tr5fXKxubW9o67u9fSMlOYNLFkUnUipAmjgjQNYx0UkUQjxhpR8Prid+J0pTKe7MKCUBR31BE4qRsVLoHvQkJ30U9pjNxOjy56oGMnSrXs2bAi4SvyBVUKARup+9WOKME2EwQ1p3fS81QY6UoZiRcaWXaZIiPER90rVUIE50kE93GMNjq8QwkcoeYeBU/Z3IEd6xCM7yZEZ6HlvIv7ndTOTXAQ5FWlmiMCzh5KMQSPhpBAYU0WwYSNLEFbU/hXiAVIG1tbxZbgz6+8SFqnNd/y27Nq/aqowOwRE4AT4B3VwAxqgCTB4AE/gBbw6j86z8+a8z0ZLTpHZB3/gfHwDJzKX1Q=</latexit><latexit sha1_base64="x9Uq16Z0kj56+gu1UrFCsTWUCbI=">ACA3icbVBLSwMxGMzWV62vVW96CRbBU9kVQ8eil48VrAPaJclm82oXksSVYoS8GLf8WLB0W8+ie8+W9M2xW0dSAwmfmG5JsoZVQbz/tySkvLK6tr5fXKxubW9o67u9fSMlOYNLFkUnUipAmjgjQNYx0UkUQjxhpR8Prid+J0pTKe7MKCUBR31BE4qRsVLoHvQkJ30U9pjNxOjy56oGMnSrXs2bAi4SvyBVUKARup+9WOKME2EwQ1p3fS81QY6UoZiRcaWXaZIiPER90rVUIE50kE93GMNjq8QwkcoeYeBU/Z3IEd6xCM7yZEZ6HlvIv7ndTOTXAQ5FWlmiMCzh5KMQSPhpBAYU0WwYSNLEFbU/hXiAVIG1tbxZbgz6+8SFqnNd/y27Nq/aqowOwRE4AT4B3VwAxqgCTB4AE/gBbw6j86z8+a8z0ZLTpHZB3/gfHwDJzKX1Q=</latexit><latexit sha1_base64="x9Uq16Z0kj56+gu1UrFCsTWUCbI=">ACA3icbVBLSwMxGMzWV62vVW96CRbBU9kVQ8eil48VrAPaJclm82oXksSVYoS8GLf8WLB0W8+ie8+W9M2xW0dSAwmfmG5JsoZVQbz/tySkvLK6tr5fXKxubW9o67u9fSMlOYNLFkUnUipAmjgjQNYx0UkUQjxhpR8Prid+J0pTKe7MKCUBR31BE4qRsVLoHvQkJ30U9pjNxOjy56oGMnSrXs2bAi4SvyBVUKARup+9WOKME2EwQ1p3fS81QY6UoZiRcaWXaZIiPER90rVUIE50kE93GMNjq8QwkcoeYeBU/Z3IEd6xCM7yZEZ6HlvIv7ndTOTXAQ5FWlmiMCzh5KMQSPhpBAYU0WwYSNLEFbU/hXiAVIG1tbxZbgz6+8SFqnNd/y27Nq/aqowOwRE4AT4B3VwAxqgCTB4AE/gBbw6j86z8+a8z0ZLTpHZB3/gfHwDJzKX1Q=</latexit><latexit sha1_base64="x9Uq16Z0kj56+gu1UrFCsTWUCbI=">ACA3icbVBLSwMxGMzWV62vVW96CRbBU9kVQ8eil48VrAPaJclm82oXksSVYoS8GLf8WLB0W8+ie8+W9M2xW0dSAwmfmG5JsoZVQbz/tySkvLK6tr5fXKxubW9o67u9fSMlOYNLFkUnUipAmjgjQNYx0UkUQjxhpR8Prid+J0pTKe7MKCUBR31BE4qRsVLoHvQkJ30U9pjNxOjy56oGMnSrXs2bAi4SvyBVUKARup+9WOKME2EwQ1p3fS81QY6UoZiRcaWXaZIiPER90rVUIE50kE93GMNjq8QwkcoeYeBU/Z3IEd6xCM7yZEZ6HlvIv7ndTOTXAQ5FWlmiMCzh5KMQSPhpBAYU0WwYSNLEFbU/hXiAVIG1tbxZbgz6+8SFqnNd/y27Nq/aqowOwRE4AT4B3VwAxqgCTB4AE/gBbw6j86z8+a8z0ZLTpHZB3/gfHwDJzKX1Q=</latexit>ωλ > ωρ
<latexit sha1_base64="YS5YMvDVvP1flWyI1vG24RoeJAk=">ACA3icbVBLSwMxGMzWV62vVW96CRbBU9kVQU9S9OKxgn1AuyzZbLYNzWNJskJZCl78K148KOLVP+HNf2ParqCtA4HJzDck30Qpo9p43pdTWlpeWV0r1c2Nre2d9zdvZaWmcKkiSWTqhMhTRgVpGmoYaSTKoJ4xEg7Gl5P/PY9UZpKcWdGKQk46guaUIyMlUL3oCc56aOwx2wmRpc/VzWQoVv1at4UcJH4BamCAo3Q/ezFEmecCIMZ0re6kJcqQMxYyMK71MkxThIeqTrqUCcaKDfLrDGB5bJYaJVPYIA6fq70SOuNYjHtlJjsxAz3sT8T+vm5nkIsipSDNDBJ49lGQMGgknhcCYKoING1mCsKL2rxAPkELY2NoqtgR/fuVF0jqt+ZbfnlXrV0UdZXAIjsAJ8ME5qIMb0ABNgMEDeAIv4NV5dJ6dN+d9Nlpyisw+APn4xsqUJfX</latexit><latexit sha1_base64="YS5YMvDVvP1flWyI1vG24RoeJAk=">ACA3icbVBLSwMxGMzWV62vVW96CRbBU9kVQU9S9OKxgn1AuyzZbLYNzWNJskJZCl78K148KOLVP+HNf2ParqCtA4HJzDck30Qpo9p43pdTWlpeWV0r1c2Nre2d9zdvZaWmcKkiSWTqhMhTRgVpGmoYaSTKoJ4xEg7Gl5P/PY9UZpKcWdGKQk46guaUIyMlUL3oCc56aOwx2wmRpc/VzWQoVv1at4UcJH4BamCAo3Q/ezFEmecCIMZ0re6kJcqQMxYyMK71MkxThIeqTrqUCcaKDfLrDGB5bJYaJVPYIA6fq70SOuNYjHtlJjsxAz3sT8T+vm5nkIsipSDNDBJ49lGQMGgknhcCYKoING1mCsKL2rxAPkELY2NoqtgR/fuVF0jqt+ZbfnlXrV0UdZXAIjsAJ8ME5qIMb0ABNgMEDeAIv4NV5dJ6dN+d9Nlpyisw+APn4xsqUJfX</latexit><latexit sha1_base64="YS5YMvDVvP1flWyI1vG24RoeJAk=">ACA3icbVBLSwMxGMzWV62vVW96CRbBU9kVQU9S9OKxgn1AuyzZbLYNzWNJskJZCl78K148KOLVP+HNf2ParqCtA4HJzDck30Qpo9p43pdTWlpeWV0r1c2Nre2d9zdvZaWmcKkiSWTqhMhTRgVpGmoYaSTKoJ4xEg7Gl5P/PY9UZpKcWdGKQk46guaUIyMlUL3oCc56aOwx2wmRpc/VzWQoVv1at4UcJH4BamCAo3Q/ezFEmecCIMZ0re6kJcqQMxYyMK71MkxThIeqTrqUCcaKDfLrDGB5bJYaJVPYIA6fq70SOuNYjHtlJjsxAz3sT8T+vm5nkIsipSDNDBJ49lGQMGgknhcCYKoING1mCsKL2rxAPkELY2NoqtgR/fuVF0jqt+ZbfnlXrV0UdZXAIjsAJ8ME5qIMb0ABNgMEDeAIv4NV5dJ6dN+d9Nlpyisw+APn4xsqUJfX</latexit><latexit sha1_base64="YS5YMvDVvP1flWyI1vG24RoeJAk=">ACA3icbVBLSwMxGMzWV62vVW96CRbBU9kVQU9S9OKxgn1AuyzZbLYNzWNJskJZCl78K148KOLVP+HNf2ParqCtA4HJzDck30Qpo9p43pdTWlpeWV0r1c2Nre2d9zdvZaWmcKkiSWTqhMhTRgVpGmoYaSTKoJ4xEg7Gl5P/PY9UZpKcWdGKQk46guaUIyMlUL3oCc56aOwx2wmRpc/VzWQoVv1at4UcJH4BamCAo3Q/ezFEmecCIMZ0re6kJcqQMxYyMK71MkxThIeqTrqUCcaKDfLrDGB5bJYaJVPYIA6fq70SOuNYjHtlJjsxAz3sT8T+vm5nkIsipSDNDBJ49lGQMGgknhcCYKoING1mCsKL2rxAPkELY2NoqtgR/fuVF0jqt+ZbfnlXrV0UdZXAIjsAJ8ME5qIMb0ABNgMEDeAIv4NV5dJ6dN+d9Nlpyisw+APn4xsqUJfX</latexit>rel
gs (~
⇢,~ ) = 1 p 3 √ 3 0,0,0(~ ⇢) 0,0,0(~ )
<latexit sha1_base64="/LjYdEkYLkhHzUOTeqyGjbRUVZU=">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</latexit><latexit sha1_base64="PY3F8stjMSh3Ml3UAia30X8iCg=">ACY3icbVFBjxIxGO3M6i7CKiN6MDEmzZLNQkLIjB7ciwlRDx4xkV0SBkmnfAMNnc5s2yHB2p/mn/DmzYv/w8JwENavafry3tfX9jUpOFM6DH95/smDh6dntUf1xvnjJ83gaetG5aWkMKI5z+U4IQo4EzDSTHMYFxJIlnC4TVYftvrtGqRiufiNwVM7IQLGWUaEfNgm9xodjMLJT9aiRw24nXQE0sl7nt4Qpz5zYntvuHqeSUBNZE6s7qc2b/WKtxZVN2HOj8sBbj+4hjyuhMuzOgnbYD3eF74NoD9qDj+LFj/Tq+3AW/IznOS0zEJpyotQkCgs9NURqRjnYelwqKAhdkQVMHBQkAzU1u4wsvnTMHKe5dFNovGP/3WFIptQmS1xnRvRSHWtb8n/apNTp9dQwUZQaBK0OSkuOdY63geM5k0A13zhAqGTurpguiQtSu2+puxCi4yfBzev+5HDn10a71FVNfQSXaAOitBbNECf0BCNEW/vVOv6QXeH7/ht/znVav7fc8Qwflv/oLRha5fw=</latexit><latexit sha1_base64="PY3F8stjMSh3Ml3UAia30X8iCg=">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</latexit><latexit sha1_base64="dQkt8ydh3dTu+Q4HkFH8pdzJ90=">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</latexit>The wave func5ons for the case of different masses can be obtained once the quark b is placed in the third posi5on (as a conven5on) and a symmetry is made with respect to the remaining two with equal masses in the flavor part.
Considering only the resonances and Ground States Excited States Ground States Excited States
9
Λ : φ0 = 1 √ 2(ud − du)b Σ : φ1 = 1 √ 2(ud + du)b
<latexit sha1_base64="v7WM1KOzfeQr29xFnp68oVij/gk=">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</latexit><latexit sha1_base64="v7WM1KOzfeQr29xFnp68oVij/gk=">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</latexit><latexit sha1_base64="v7WM1KOzfeQr29xFnp68oVij/gk=">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</latexit><latexit sha1_base64="v7WM1KOzfeQr29xFnp68oVij/gk=">ACanicbVFNSxBFOwZY9RVk9VAJHgZXBU1KDN7SQgExFxy8KDoqrC9LG963uw2dveM/RFYhjnkL+aWX+DFH2HvuohfBQ1F1Sted3VaCm5sHP8Pwpl3s+/n5hcai0vLHz42V1YvTOE0w4rRKGvUjAouMKO5VbgVakRZCrwMr3+NfYv/6A2vFDndlRiT8JA8ZwzsF7qN/SFAdcVXijQGsY7dX02Kcz2P6xTcsh78c/a6BVUldUXOjbdWu6x2X7WduN6WqUE6mqClt0DM+kI+p5O3U10kKVfZkX7/Zig/iCaLXJmSFpnipN/8R7OCOYnKMgHGdJO4tL0KtOVMYN2gzmAJ7BoG2PVUgUTqyZV1dGWV7IoL7Q/ykYT9WmiAmnMSKZ+UoIdmpfeWHzL6zqbf+9VXJXOomIPi3InIltE496jGtkVow8Aa5v2vEhuA7sv53Gr6E5OWTX5OL9kHi+Wm7dXg0rWOerJMNskMS8o0ckt/khHQI7fBcvA5WAvuwtXwS7j+MBoG08wn8gzh5j2r7Lr5</latexit>Λ ψosf
Λ
J
4ρ
φ0χSψρ
1 2, 3 2, 5 2 2λ
φ0χρψλ
1 2, 3 2 2ρ
φ0χλψρ
1 2, 3 2
Σ ψosf
Σ
J
4λ
φ1χSψλ
1 2, 3 2, 5 2 2λ
φ1χλψλ
1 2, 3 2 2ρ
φ1χρψρ
1 2, 3 2
<latexit sha1_base64="yglLOHTNcR2LgdmPdFgT+qvzx4=">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</latexit><latexit sha1_base64="yglLOHTNcR2LgdmPdFgT+qvzx4=">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</latexit><latexit sha1_base64="yglLOHTNcR2LgdmPdFgT+qvzx4=">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</latexit><latexit sha1_base64="yglLOHTNcR2LgdmPdFgT+qvzx4=">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</latexit>Λ0
b
<latexit sha1_base64="1/vOSrj1DjzNpsTNRDEvqR2xPRQ=">AB8nicbVDLSsNAFL3xWeur6tLNYBFclUQEXRbduHBRwT6gjWUymbRDJ5MwcyOU0M9w40IRt36NO/GaZuFth4YOJxzLnPvCVIpDLrut7Oyura+sVnaKm/v7O7tVw4OWybJNONlshEdwJquBSKN1Gg5J1UcxoHkreD0c3Ubz9xbUSiHnCcj+mAyUiwShaqdu7s9GQPr9oF+pujV3BrJMvIJUoUCjX/nqhQnLYq6QSWpM13NT9HOqUTDJ+VeZnhK2YgOeNdSRWNu/Hy28oScWiUkUaLtU0hm6u+JnMbGjOPAJmOKQ7PoTcX/vG6G0ZWfC5VmyBWbfxRlkmBCpveTUGjOUI4toUwLuythQ6opQ9tS2ZbgLZ68TFrnNc/y+4tq/bqowTHcAJn4MEl1OEWGtAEBgk8wyu8Oei8O/Oxzy64hQzR/AHzucPp5qQ1A=</latexit><latexit sha1_base64="1/vOSrj1DjzNpsTNRDEvqR2xPRQ=">AB8nicbVDLSsNAFL3xWeur6tLNYBFclUQEXRbduHBRwT6gjWUymbRDJ5MwcyOU0M9w40IRt36NO/GaZuFth4YOJxzLnPvCVIpDLrut7Oyura+sVnaKm/v7O7tVw4OWybJNONlshEdwJquBSKN1Gg5J1UcxoHkreD0c3Ubz9xbUSiHnCcj+mAyUiwShaqdu7s9GQPr9oF+pujV3BrJMvIJUoUCjX/nqhQnLYq6QSWpM13NT9HOqUTDJ+VeZnhK2YgOeNdSRWNu/Hy28oScWiUkUaLtU0hm6u+JnMbGjOPAJmOKQ7PoTcX/vG6G0ZWfC5VmyBWbfxRlkmBCpveTUGjOUI4toUwLuythQ6opQ9tS2ZbgLZ68TFrnNc/y+4tq/bqowTHcAJn4MEl1OEWGtAEBgk8wyu8Oei8O/Oxzy64hQzR/AHzucPp5qQ1A=</latexit><latexit sha1_base64="1/vOSrj1DjzNpsTNRDEvqR2xPRQ=">AB8nicbVDLSsNAFL3xWeur6tLNYBFclUQEXRbduHBRwT6gjWUymbRDJ5MwcyOU0M9w40IRt36NO/GaZuFth4YOJxzLnPvCVIpDLrut7Oyura+sVnaKm/v7O7tVw4OWybJNONlshEdwJquBSKN1Gg5J1UcxoHkreD0c3Ubz9xbUSiHnCcj+mAyUiwShaqdu7s9GQPr9oF+pujV3BrJMvIJUoUCjX/nqhQnLYq6QSWpM13NT9HOqUTDJ+VeZnhK2YgOeNdSRWNu/Hy28oScWiUkUaLtU0hm6u+JnMbGjOPAJmOKQ7PoTcX/vG6G0ZWfC5VmyBWbfxRlkmBCpveTUGjOUI4toUwLuythQ6opQ9tS2ZbgLZ68TFrnNc/y+4tq/bqowTHcAJn4MEl1OEWGtAEBgk8wyu8Oei8O/Oxzy64hQzR/AHzucPp5qQ1A=</latexit><latexit sha1_base64="1/vOSrj1DjzNpsTNRDEvqR2xPRQ=">AB8nicbVDLSsNAFL3xWeur6tLNYBFclUQEXRbduHBRwT6gjWUymbRDJ5MwcyOU0M9w40IRt36NO/GaZuFth4YOJxzLnPvCVIpDLrut7Oyura+sVnaKm/v7O7tVw4OWybJNONlshEdwJquBSKN1Gg5J1UcxoHkreD0c3Ubz9xbUSiHnCcj+mAyUiwShaqdu7s9GQPr9oF+pujV3BrJMvIJUoUCjX/nqhQnLYq6QSWpM13NT9HOqUTDJ+VeZnhK2YgOeNdSRWNu/Hy28oScWiUkUaLtU0hm6u+JnMbGjOPAJmOKQ7PoTcX/vG6G0ZWfC5VmyBWbfxRlkmBCpveTUGjOUI4toUwLuythQ6opQ9tS2ZbgLZ68TFrnNc/y+4tq/bqowTHcAJn4MEl1OEWGtAEBgk8wyu8Oei8O/Oxzy64hQzR/AHzucPp5qQ1A=</latexit>Σ+
b
<latexit sha1_base64="eZb7y61DfVHWHaY1yMCH6tIVv8Q=">AB8XicbZDLSgMxFIZPvNZ6q7p0EyCIJQZEXRZdOyor1gO5ZMmlDk8yQZIQy9C3cuFDErW/jzrcxbWehrT8EPv5zDjnDxPBjfW8b7S0vLK6tl7YKG5ube/slvb2GyZONWV1GotYt0JimOCK1S23grUSzYgMBWuGw+tJvfnEtOGxurejhAWS9BWPOCXWQ+dO96X5PG0G3ZLZa/iTYUXwc+hDLlq3dJXpxfTVDJlqSDGtH0vsUFGtOVUsHGxkxqWEDokfdZ2qIhkJsimG4/xsXN6OIq1e8riqft7IiPSmJEMXackdmDmaxPzv1o7tdFlkHGVpJYpOvsoSgW2MZ6cj3tcM2rFyAGhmrtdMR0QTah1IRVdCP78yYvQOKv4jm/Py9WrPI4CHMIRnIAPF1CFG6hBHSgoeIZXeEMGvaB39DFrXUL5zAH8Efr8Af5ukHU=</latexit><latexit sha1_base64="eZb7y61DfVHWHaY1yMCH6tIVv8Q=">AB8XicbZDLSgMxFIZPvNZ6q7p0EyCIJQZEXRZdOyor1gO5ZMmlDk8yQZIQy9C3cuFDErW/jzrcxbWehrT8EPv5zDjnDxPBjfW8b7S0vLK6tl7YKG5ube/slvb2GyZONWV1GotYt0JimOCK1S23grUSzYgMBWuGw+tJvfnEtOGxurejhAWS9BWPOCXWQ+dO96X5PG0G3ZLZa/iTYUXwc+hDLlq3dJXpxfTVDJlqSDGtH0vsUFGtOVUsHGxkxqWEDokfdZ2qIhkJsimG4/xsXN6OIq1e8riqft7IiPSmJEMXackdmDmaxPzv1o7tdFlkHGVpJYpOvsoSgW2MZ6cj3tcM2rFyAGhmrtdMR0QTah1IRVdCP78yYvQOKv4jm/Py9WrPI4CHMIRnIAPF1CFG6hBHSgoeIZXeEMGvaB39DFrXUL5zAH8Efr8Af5ukHU=</latexit><latexit sha1_base64="eZb7y61DfVHWHaY1yMCH6tIVv8Q=">AB8XicbZDLSgMxFIZPvNZ6q7p0EyCIJQZEXRZdOyor1gO5ZMmlDk8yQZIQy9C3cuFDErW/jzrcxbWehrT8EPv5zDjnDxPBjfW8b7S0vLK6tl7YKG5ube/slvb2GyZONWV1GotYt0JimOCK1S23grUSzYgMBWuGw+tJvfnEtOGxurejhAWS9BWPOCXWQ+dO96X5PG0G3ZLZa/iTYUXwc+hDLlq3dJXpxfTVDJlqSDGtH0vsUFGtOVUsHGxkxqWEDokfdZ2qIhkJsimG4/xsXN6OIq1e8riqft7IiPSmJEMXackdmDmaxPzv1o7tdFlkHGVpJYpOvsoSgW2MZ6cj3tcM2rFyAGhmrtdMR0QTah1IRVdCP78yYvQOKv4jm/Py9WrPI4CHMIRnIAPF1CFG6hBHSgoeIZXeEMGvaB39DFrXUL5zAH8Efr8Af5ukHU=</latexit><latexit sha1_base64="eZb7y61DfVHWHaY1yMCH6tIVv8Q=">AB8XicbZDLSgMxFIZPvNZ6q7p0EyCIJQZEXRZdOyor1gO5ZMmlDk8yQZIQy9C3cuFDErW/jzrcxbWehrT8EPv5zDjnDxPBjfW8b7S0vLK6tl7YKG5ube/slvb2GyZONWV1GotYt0JimOCK1S23grUSzYgMBWuGw+tJvfnEtOGxurejhAWS9BWPOCXWQ+dO96X5PG0G3ZLZa/iTYUXwc+hDLlq3dJXpxfTVDJlqSDGtH0vsUFGtOVUsHGxkxqWEDokfdZ2qIhkJsimG4/xsXN6OIq1e8riqft7IiPSmJEMXackdmDmaxPzv1o7tdFlkHGVpJYpOvsoSgW2MZ6cj3tcM2rFyAGhmrtdMR0QTah1IRVdCP78yYvQOKv4jm/Py9WrPI4CHMIRnIAPF1CFG6hBHSgoeIZXeEMGvaB39DFrXUL5zAH8Efr8Af5ukHU=</latexit>2ρ(Σ∗+ b )
: ψρuub 1 √ 2(↑↓ − ↓↑) ↑
2λ(Σ∗+ b )
: ψλuub 1 √ 6(2 ↑↑↓ − ↑↓↑ − ↓↑↑)
4λ(Σ∗+ b )
: ψλuub ↑↑↑
<latexit sha1_base64="jcHcqgEzQUmAW3r3j6j0YRpZDW8=">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</latexit><latexit sha1_base64="jcHcqgEzQUmAW3r3j6j0YRpZDW8=">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</latexit><latexit sha1_base64="jcHcqgEzQUmAW3r3j6j0YRpZDW8=">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</latexit><latexit sha1_base64="jcHcqgEzQUmAW3r3j6j0YRpZDW8=">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</latexit>Λb : ψ0 1 √ 2(ud − du)b 1 √ 2(↑↓ − ↓↑) ↑
<latexit sha1_base64="KcWhibI2djHI1gsQ/i5/9U3d4M=">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</latexit><latexit sha1_base64="KcWhibI2djHI1gsQ/i5/9U3d4M=">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</latexit><latexit sha1_base64="KcWhibI2djHI1gsQ/i5/9U3d4M=">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</latexit><latexit sha1_base64="KcWhibI2djHI1gsQ/i5/9U3d4M=">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</latexit>2λ(Λ∗ b)
: ψλ 1 √ 2(ud − du)b 1 √ 2(↑↓ − ↓↑) ↑
2ρ(Λ∗ b)
: ψρ 1 √ 2(ud − du)b 1 √ 6(2 ↑↑↓ − ↑↓↑ − ↓↑↑)
4ρ(Λ∗ b)
: ψρ 1 √ 2(ud − du)b ↑↑↑
<latexit sha1_base64="u46OvKuUgKg8KsgX1tsuMX07gU=">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</latexit><latexit sha1_base64="u46OvKuUgKg8KsgX1tsuMX07gU=">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</latexit><latexit sha1_base64="u46OvKuUgKg8KsgX1tsuMX07gU=">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</latexit><latexit sha1_base64="u46OvKuUgKg8KsgX1tsuMX07gU=">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</latexit>ν = 1/2
<latexit sha1_base64="DgHXKGtsCZHYwigqlOfGkMpuYzk=">AB7nicbZDLSgMxFIbP1Fut6pLN6FEIQ6041uhKIblxXsBTpDyaRpG5rJDMkZoQx9CDcuFNGlz+POtzG9LT1h8DHf84h5/xhIoVB1/12cmvrG5tb+e3Czu7e/kHx8Khp4lQz3mCxjHU7pIZLoXgDBUreTjSnUSh5KxzdTutR6NiNUDjhMeRHSgRF8witZq+Sq9i6q3WLZrbgzkVXwFlCulfzDwCod4tfi9macQVMkmN6XhugkFGNQom+aTgp4YnlI3ogHcsKhpxE2SzdSfk1Do90o+1fQrJzP09kdHImHEU2s6I4tAs16bmf7VOiv2rIBMqSZErNv+on0qCMZneTnpCc4ZybIEyLeyuhA2pgxtQgUbgrd8io0qxXP8r1N4wbmysMJlOAMPLiEGtxBHRrAYARP8AKvTuI8O2/O+7w15yxmjuGPnM8fQ+6QUw=</latexit><latexit sha1_base64="NE0rOIT4Gcp9PTfv5795YQNU=">AB7nicbZDLSgMxFIbPeK31VnXpJrQIglBnutGNUHTjsoK9QGcomThmaSIckIw9CHEMSFIm59Hnd9G9PLQlt/CHz85xyzh8mnGnjuhNnbX1jc2u7sFPc3ds/OCwdHbe0TBWhTSK5VJ0Qa8qZoE3DKedRFEch5y2w9HdtN5+okozKR5NltAgxgPBIkawsVbF+mNd1nrlSpu1Z0JrYK3gEq97F+8TOpZo1f69vuSpDEVhnCsdzExPkWBlGOB0X/VTBJMRHtCuRYFjqoN8tu4YnVmnjyKp7BMGzdzfEzmOtc7i0HbG2Az1cm1q/lfrpia6DnImktRQeYfRSlHRqLp7ajPFCWGZxYwUczuisgQK0yMTahoQ/CWT16FVq3qWX6wadzCXAU4hTKcgwdXUId7aEATCIzgGd7g3UmcV+fD+Zy3rjmLmRP4I+frB01Ykdk=</latexit><latexit sha1_base64="NE0rOIT4Gcp9PTfv5795YQNU=">AB7nicbZDLSgMxFIbPeK31VnXpJrQIglBnutGNUHTjsoK9QGcomThmaSIckIw9CHEMSFIm59Hnd9G9PLQlt/CHz85xyzh8mnGnjuhNnbX1jc2u7sFPc3ds/OCwdHbe0TBWhTSK5VJ0Qa8qZoE3DKedRFEch5y2w9HdtN5+okozKR5NltAgxgPBIkawsVbF+mNd1nrlSpu1Z0JrYK3gEq97F+8TOpZo1f69vuSpDEVhnCsdzExPkWBlGOB0X/VTBJMRHtCuRYFjqoN8tu4YnVmnjyKp7BMGzdzfEzmOtc7i0HbG2Az1cm1q/lfrpia6DnImktRQeYfRSlHRqLp7ajPFCWGZxYwUczuisgQK0yMTahoQ/CWT16FVq3qWX6wadzCXAU4hTKcgwdXUId7aEATCIzgGd7g3UmcV+fD+Zy3rjmLmRP4I+frB01Ykdk=</latexit><latexit sha1_base64="fo1PuU1hA83VH83aForh9X4iuA4=">AB7nicbZA9SwNBEIbn4leMX1FLm8UgWMW7NLERgjaWEcwHJEfY2+wlS/b2jt05IRz5ETYWitj6e+z8N26SKzTxhYWHd2bYmTdIpDout9OYWNza3unuFva2z84PCofn7RNnGrGWyWse4G1HApFG+hQMm7ieY0CiTvBJO7eb3zxLURsXrEacL9iI6UCAWjaK1OX6U3lVtUK64VXchsg5eDhXI1RyUv/rDmKURV8gkNabnuQn6GdUomOSzUj81PKFsQke8Z1HRiBs/W6w7IxfWGZIw1vYpJAv390RGI2OmUWA7I4pjs1qbm/VeimG134mVJIiV2z5UZhKgjGZ306GQnOGcmqBMi3sroSNqaYMbUIlG4K3evI6tGtVz/KDW2nc5nEU4QzO4RI8qEMD7qEJLWAwgWd4hTcncV6cd+dj2Vpw8plT+CPn8wcxb47K</latexit>Σ+
b : ψ0uub 1
√ 6(−2 ↓↓↑ + ↑↓↓ + ↓↑↓)
<latexit sha1_base64="Ypdxyusr1ogUgGDRAZeAsB/jJBc=">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</latexit><latexit sha1_base64="Rs+br80plwj2VUYIKxcvoEqoXE=">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</latexit><latexit sha1_base64="Rs+br80plwj2VUYIKxcvoEqoXE=">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</latexit><latexit sha1_base64="XOnC8NpfhmyZT/qN9JUAmBb/5gc=">ACaXicbZFbS8MwGIbTep6nTlFEb4pDUIaj3YWKV0NvJzoDrDOkmbpFpamNQdlIK/0Tv/gDf+CbODON0+CHl4v/cjyZsgoURIx/kwzIXFpeWV1bXc+sbm1raV36mLWHGEayimMW8GUGBKGK5JIiluJhzDKC4EfRvh/3GC+aCxOxRDhLcjmCXkZAgKLXkW2/eA+lG0A+eitdeIojvKBV4IYcodbPUE89cphdZdnpe9jrxK4Ocx69TpJLRXvyBeabirP9XOfOtglNyRmXPgjuBAphU1bfe9TRSEWYSUShEy3US2U4hlwRnOU8JXACUR92cUsjgxEW7XSUVGafaKVjhzHXi0l7pE5PpDASYhAF2hlB2RP/e0NxXq+lZHjVTglLlMQMjQ8KFbVlbA9jtzuEYyTpQANEnOi72qgHdcxSf05Oh+D+f/Is1MslV/O9U6jcTOJYBUfgGJwCF1yCrgDVADCHwaG8aesW98mXnzwDwcW01jMrML/pRZ+AbzgL4z</latexit>Σ∗+
b
J A 1
2 /2µq
π k0
A 3
2 /2µq
π k0 2λ 1 2 k 3√3 (ebUλ,3 − 4euUλ,1) − 1 g
q
2 3 (2euTλ,1 + ebλ, 3) 3 2 k 3
q
2 3 (4euUλ,1 − ebUλ,3) − 1 g 1 √3 (2euTλ,1 + ebTλ,3)
− 1
g (2euTλ,1 + ebTλ,3) 2ρ 1 2 2 3keuUρ,1 3 2
− 2√2
3 keuUρ,1 4λ 1 2 k 3
q
2 3 (euUλ,1 − ebUλ,3) 3 2 k 3
q
2 15 (euUλ,1 − ebUλ,3) 2k √10 (euUλ,1 − ebUλ,3) 5 2
k q
2 15 (−euUλ,1 + ebUλ,3) 2k √15 (−euUλ,1 + ebUλ,3)
Λ∗
b
J A 1
2 /2µq
π k0
A 3
2 /2µq
π k0 2λ 1 2
− k
√3ebUλ,3 − 1 g
q
2 3 ((eu + ed)Tλ,1 + ebTλ,3) 3 2
k q
2 3ebUλ,3 − 1 g 1 √3 ((eu + ed)Tλ,1 + ebTλ,3)
− 1
g ((eu + ed)Tλ,1 + ebTλ,3) 2ρ 1 2 k 3(eu + ed)Uρ,1 3 2
−
√2k 3 (eu + ed)Uρ,1 4ρ 1 2 k √3 1 √6(eu + ed)Uρ,1 3 2 k 3√10(eu + ed)Uρ,1
q
3 10k(eu + ed)Uρ,1 5 2
−k
1 √10(eu + ed)Uρ,1
− 1
√5k(eu + ed)Uρ,1
<latexit sha1_base64="3aPoKIvtHtvXAuwDSLUqpdYmps=">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</latexit><latexit sha1_base64="3aPoKIvtHtvXAuwDSLUqpdYmps=">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</latexit><latexit sha1_base64="3aPoKIvtHtvXAuwDSLUqpdYmps=">ALXiczVbJbtNAGHbLVputhSOXETWom4vtMCx0AtCHIpo2kqd1Bo7k8TyFuwxUjWaF+LCqyAkDkWIK6/BeInjOM7WE04izYz/+f7vX+bLmH3XjoiqXi0t37h56/adFVG6e+/+g4era49OoiAOLdy0AjcIz0wUYdf2cZPYxMVn/RAjz3TxqekcJu9Pv+AwsgP/mFz2ctDXd/u2BYifMlYEw+hibu2T5Frd/0tls8IMmMXhYxaIPswCfYSHxIAQBRFmcLUNw1xm8FPdtdDF3Rrmxkmk5/L7/lvYGC6MWbQ6RnIZe+YQbshMiGqM6Yy906MUw+hwSmi3Dvs2oY6iMyWAmRmMmBoQSJyvm1Cu0L3To8kS1EacM5BIt7nowdxhtZNgNxqCLO2QDG2bToPnWnQZT9rARl1Y0BkO72yObSgHZWV+OhuC6XzvcXnvNocvgedQACScVABh8k1iKhg2ahPdDdGValGU8d9MKwkopb7cQ1Yxl4ewVwMQc4iTyrIqxb2glLAWcmKaRquk8fJLTlqOXlSbepyanoWIW+qRhgrJP2JnXSfGWZtyrykAJvgfpQJrvT9hf2NwTUnUH9NXVxmLHU7xd8gTORplJ1sL0Qz+vgDIjmijEqcx9Sc65z/6HM1RGeLnBK0SnFuR6TtjkULOkCns/25gJSMDxHNQ1c7YdZvCao03V4yYokjonUYkByEdpMpUrPaIE+QWqmqNVArObBkUQgc5VK+EyhM0zhaFJfsjp8eUYhq/+giXDUwaS2pZpzhMTUqbVN/YlSnZIoXEpGeU/zqFRs9yd4LM4WkCD28XNKJ3klyZjdV3dVdMHjA+0fLAu5M+RsfoDtgMr9rBPLBdF0bm9kmLopDYlov5XSuOcB9ZDuricz70kYejFk1PNgP+EobdIKQ/3wC0tXyDoq8KLr0TG6ZaElUfZcs1r07j0ndYvafj8m2LcyR53YBSQAydURtO0QW8S95ANkhTbnCqwe4lk/Ip8SRo1ZDHByf6rsbH/X1g7d5OlaEJ8JTYUPQhFfCgfBOBKagiV+Fb+LV+Iv6Zv0U/ot/clMl5fyPY+FkUf6+w8QZcz</latexit><latexit sha1_base64="3aPoKIvtHtvXAuwDSLUqpdYmps=">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</latexit>i. As all physical states, the total wave func7on should be a color singlet.
The irreducible representa5on of S4 , and the isomorphism with the tetrahedral group
11
S4 Td [4] ∼ A1 singlet [31] ∼ F2 triplet [22] ∼ E doublet [211] ∼ F1 triplet [1111] ∼ A2 singlet
<latexit sha1_base64="jOU4l+MA/VYsIENj+IioNcZDw/4=">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</latexit><latexit sha1_base64="jOU4l+MA/VYsIENj+IioNcZDw/4=">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</latexit><latexit sha1_base64="jOU4l+MA/VYsIENj+IioNcZDw/4=">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</latexit><latexit sha1_base64="jOU4l+MA/VYsIENj+IioNcZDw/4=">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</latexit>Td
<latexit sha1_base64="F4T5/TY9VW4AtblQaMT/zGkSqnQ=">AB8XicbZC7SgNBFIbPxluMt6hgYzMYBKuwa6Nl0MYygdwWeLs7EkyZHZ2mZkVwpK3sLFQxNa3sbPxWZxcCk38YeDjP+cw5/xBIrg2rvl5NbWNza38tuFnd29/YPi4VFTx6li2GCxiFU7oBoFl9gw3AhsJwpFAhsBaPbab31iErzWNbNOE/ogPJ+5xRY637rMuoIPVJL+wVS27ZnYmsgreAUuWk9v0ANVe8bMbxiyNUBomqNYdz02Mn1FlOBM4KXRTjQlIzrAjkVJI9R+Nt4Qs6tE5J+rOyThszc3xMZjbQeR4HtjKgZ6uXa1Pyv1klN/9rPuExSg5LNP+qngpiYTM8nIVfIjBhboExuythQ6oMzakg3BWz5FZqXZc9yzaZxA3Pl4RTO4AI8uIK3EVGsBAwhO8wKujnWfnzXmft+acxcwx/JHz8QPC85J6</latexit><latexit sha1_base64="jvikjqR1hsr1BATpzL7EO2DBtg=">AB8XicbZDLSgMxFIZP6q3W1Vw4yZYBFdlxo0uS924bKE3bIeSyWTa0ExmSDJCGfoWblwo4lZ8C5/AnRufxfSy0NYfAh/OYec8/uJ4No4zhfKra1vbG7ltws7u3v7B8XDo5aOU0VZk8YiVh2faCa4ZE3DjWCdRDES+YK1/dHNtN6+Z0rzWDbMOGFeRAaSh5wSY627rEeJwI1JP+gXS07ZmQmvgruAUuWk/s3fqx+1fvGzF8Q0jZg0VBCtu6TGC8jynAq2KTQSzVLCB2RAetalCRi2stmG0/wuXUCHMbKPmnwzP09kZFI63Hk286ImKFerk3N/2rd1ITXsZlkhom6fyjMBXYxHh6Pg64YtSIsQVCFbe7YjokilBjQyrYENzlk1ehdVl2LdtGlWYKw+ncAYX4MIVOAWatAEChIe4AmekUaP6AW9zltzaDFzDH+E3n4AFEOUNg=</latexit><latexit sha1_base64="jvikjqR1hsr1BATpzL7EO2DBtg=">AB8XicbZDLSgMxFIZP6q3W1Vw4yZYBFdlxo0uS924bKE3bIeSyWTa0ExmSDJCGfoWblwo4lZ8C5/AnRufxfSy0NYfAh/OYec8/uJ4No4zhfKra1vbG7ltws7u3v7B8XDo5aOU0VZk8YiVh2faCa4ZE3DjWCdRDES+YK1/dHNtN6+Z0rzWDbMOGFeRAaSh5wSY627rEeJwI1JP+gXS07ZmQmvgruAUuWk/s3fqx+1fvGzF8Q0jZg0VBCtu6TGC8jynAq2KTQSzVLCB2RAetalCRi2stmG0/wuXUCHMbKPmnwzP09kZFI63Hk286ImKFerk3N/2rd1ITXsZlkhom6fyjMBXYxHh6Pg64YtSIsQVCFbe7YjokilBjQyrYENzlk1ehdVl2LdtGlWYKw+ncAYX4MIVOAWatAEChIe4AmekUaP6AW9zltzaDFzDH+E3n4AFEOUNg=</latexit><latexit sha1_base64="tL5IWBwlZIVRuATGFT+aVpaHOYA=">AB8XicbZBNS8NAEIYn9avWr6pHL4tF8FQSL3osevFYoV/YhjLZbNqlm03Y3Qgl9F948aCIV/+N/+N2zYHbX1h4eGdGXbmDVLBtXHdb6e0sbm1vVPereztHxweVY9POjrJFGVtmohE9QLUTHDJ2oYbwXqpYhgHgnWDyd283n1iSvNEtsw0ZX6MI8kjTtFY6zEfUBSkNRuGw2rNrbsLkXwCqhBoeaw+jUIE5rFTBoqUOu+56bGz1EZTgWbVQaZinSCY5Y36LEmGk/X2w8IxfWCUmUKPukIQv390SOsdbTOLCdMZqxXq3Nzf9q/cxEN37OZoZJunyoygTxCRkfj4JuWLUiKkFpIrbXQkdo0JqbEgVG4K3evI6dK7qnuUHt9a4LeIowxmcwyV4cA0NuIcmtIGChGd4hTdHOy/Ou/OxbC05xcwp/JHz+QM0W5CV</latexit>ψ = ⇥ ψc
F1 × ψosf F2
⇤
A2
<latexit sha1_base64="JD/pcUuWH4kyqwoN4wisetPLiU=">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</latexit><latexit sha1_base64="JD/pcUuWH4kyqwoN4wisetPLiU=">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</latexit><latexit sha1_base64="JD/pcUuWH4kyqwoN4wisetPLiU=">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</latexit><latexit sha1_base64="JD/pcUuWH4kyqwoN4wisetPLiU=">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</latexit>[11] F. Stancu, Oxford Stud. Nucl. Phys. 19 , 1 (1996).
[11]
12
uudc¯ c
@ @ @ @ @ @ @ @ @ @ @ s q q q q q q q q q q uudc¯ c
@ @ @ @ @ @ @ s q q q q q q q c nnnc¯ c nnsc¯ c nssc¯ c sssc¯ c nnnc¯ c nnsc¯ c nssc¯ c P ∆
c
P Σ∗
c
P Ξ∗
c
P Ω
c
P N
c
≡ Pc P Σ
c /P Λ c
P Ξ
c
<latexit sha1_base64="siJ8ZWcDdBI7IoKcArkE85LZQMQ=">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</latexit><latexit sha1_base64="siJ8ZWcDdBI7IoKcArkE85LZQMQ=">AIRHiclVNb9NAEHULJG34auHIZUWDlFRJ2XViyrECDhwQFE/RByizWbjrGo7xruVFn+cVz4Adz4BVw4gBXxNhxWsdO0rJSpNl9b97Mzk48fc8WUmH8bWX12vUbpfLaeuXmrdt37m5s3juU48Bn/ICN7bF/3KeS28LlB0omx97PqdO3+ZH/ZPnMX50yn0pxu57debxrkMtVwFowqOepulD2afW8INh8IKfB51Rt3Kusm4q7gvXAtsyUHUtdQoNANXpHYU4p2pyLAJ+6eYCr2rxkYN9oY12vNm7gOhDUSLCTOD8JGy9QNb2FG60nRj2sBsGAmX3qhyqRimKDEANXEehGTvVCKiELYyjKYFABNjPEvQsART0vALJEIDc0GcUCBCMZQpkVqGYAxCQsThEsxBDz8VoFoK0ckGaxShprUKTCZ/ZfBv8E9AJbCWy1UwyBmI7uAas9TpnabU1hJqmvuUqheo2RrMxaAHyMIeiPXJsheM45LegD9n0KutkWF3Po8wjLFOa/X5GR7wFyaQ+QpT0wrebi15rpAXL1HkBX6gGS6YFpcsndo30n151XbfQBAmMU1jOhfXUWy6AJ95yAUyWxybLY6PFsRGafsKq+z32MTRfcFvRHI4z+DthOfTj9ixDzyociwKcFXjcCsToNk6v12Cv46QyT8F4hTB9oKln18yk0b0eLJ5BUNkEsazaY0Abk7OP/8V5JdOkt6G1t4BycLFQ2SGltauvZ7G1/NwZgFDkwfZlMpOwR7qhtSXwloHRAPJPcoO6EW74DpUofLbpgMwQg9gpMBGo59+LkKJadZj5A6Up45fWA6VI1kHosP52GdQA2fdkPhQhG4yaBhoGN1BjFExUNhM+Zs/AoMwXkCtiI+pTBiNUVqAIJH/lonGo7xCw3+pbe8/ScqxpD7SHWk0j2q62p73U9rUDjZU+l76XfpZ+lb+Uf5R/l/9MqKsrqc9bWaV/4DWa1veA=</latexit><latexit sha1_base64="siJ8ZWcDdBI7IoKcArkE85LZQMQ=">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</latexit><latexit sha1_base64="siJ8ZWcDdBI7IoKcArkE85LZQMQ=">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</latexit>The Hamiltonian to describe the confinment of 5 quarks is
Using rela5ve coordinates,
The Hamiltonian now includes the movement of the center of mass, plus four harmonic oscillators and , with the same constant , and equal masses.
13
H = p12 2m + p22 2m + p32 2m + p42 2m + p52 2m + 1 2C
5
X
i<j
|~ ri − ~ rj|2
<latexit sha1_base64="RkvEZGtG2i6gQJdoWmKSdvDeHY=">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</latexit><latexit sha1_base64="RkvEZGtG2i6gQJdoWmKSdvDeHY=">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</latexit><latexit sha1_base64="RkvEZGtG2i6gQJdoWmKSdvDeHY=">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</latexit><latexit sha1_base64="RkvEZGtG2i6gQJdoWmKSdvDeHY=">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</latexit>~ ⇢ ≡ 1 √ 2(~ r1 − ~ r2), ~
1 √ 6(~ r1 + ~ r2 − 2~ r3), ~ ⌘ ≡ 1 √ 12(~ r1 + ~ r2 + ~ r3 − 3~ r4), ~ ⇣ ≡ 1 √ 20(~ r1 + ~ r2 + ~ r3 + ~ r4 − 4~ r5), ~ R ≡ 1 5(~ r1 + ~ r2 + ~ r3 + ~ r4 + ~ r5)
<latexit sha1_base64="t0TIrFCHKW+JQRGIkcJObDcV/M=">ADu3icjZLfb9MwEMfdhB+j/OrgkZeIimodEqyDfaCNMELjwPRbVJdKse5tGaOndpOpWLlj4Q3/hvcLmq3tQNOsvTV3flz5/MlBWfahOHvhufuXv/taD5sNHj58bW0/O9WyVBR6VHKpzhOigTMBPcMh/NCAckTDmfJxcd5/GwKSjMpvpZAYOcjATLGCXGuYbjZ84gRETFiaCKEVmVRNPgVqsxrLawTAp2XQHZ4pQG1UW64kyNq6q3UWSGkZVt1Zx9foNFlKUeQIK45rCXScpuQX09gqms8R041rubySCuQ1no2uNrYidJbC7X8uDjewf4H4b/gnSW7e1DLw01lvqyXOPxvdGdFXoKbGES6+sBhqx3uhQsL1kVUizaq7WTY+oVTScschKGcaN2PwsIMLFGUQ5uIUoNBaEXZAR9JwXJQ/sYveq4JXzpEmlTvCBAv1RuW5FrP8sRl5sSM9c3Y3Lkp1i9NdjSwTBSlAUEvC2UlD4wM5oscpEwBNXzmBKGKuV4DOiZuoMate9MNIbr5HVxGu9FTn+O28cf6nFsoRfoJdpFEXqHjtEndIJ6iHpH3jdv5I39z71v/v8MtVr1Heo2vml38AutQ8lg=</latexit><latexit sha1_base64="t0TIrFCHKW+JQRGIkcJObDcV/M=">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</latexit><latexit sha1_base64="t0TIrFCHKW+JQRGIkcJObDcV/M=">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</latexit><latexit sha1_base64="t0TIrFCHKW+JQRGIkcJObDcV/M=">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</latexit>H = PCM
2
2M + pρ2 2mρ + pλ2 2mλ + pη2 2mη + pζ2 2mζ + 5 2Cρ2 + 5 2Cλ2 + 5 2Cη2 + 5 2Cζ2
<latexit sha1_base64="fx+CwKm5kPIQYd8sGzKTJ3d7m9A=">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</latexit><latexit sha1_base64="fx+CwKm5kPIQYd8sGzKTJ3d7m9A=">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</latexit><latexit sha1_base64="fx+CwKm5kPIQYd8sGzKTJ3d7m9A=">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</latexit><latexit sha1_base64="fx+CwKm5kPIQYd8sGzKTJ3d7m9A=">AC93icbZJBa9RAFMcnqdq6Wt3Wo5fBRALJQlIexGKe+mlsILbFjbMJm87A6dmaQzEyEb8kW8eFDEq1/Fm9/GySbUdOuDgf/8/u/xZt5MnHOmjef9cdytBw8fbe8Hjx5uvs+XBv/1xnhaIwpRnP1GVMNHAmYWqY4XCZKyAi5nARX48b/+IzKM0y+cmUOcwFWUiWMkqMRdGesxvGsGCyghtJlCLl2/oUv8dhqgitcDWJqvFZXV8FdRWc1Qe3PI9CtcxaLlp90PO4PUBCbu1u28A89udN9b9c1Vz31nUT1ul0Fd1HbYZPa0k20WrNBKDNZiBhUCDLp3T0ajrxDbx34vA7MUJdTKLh7zDJaCFAGsqJ1jPfy828IsowyqEehIWGnNBrsoCZlZI0PNq/W41fm1JgtNM2SUNXtN+RUWE1qWIbaYgZqk3vQb+z5sVJj2eV0zmhQFJ20ZpwbHJcPMJcMIUMNLKwhVzJ4V0yWxYzL2qwzsEPzNK98X58Ghb/XHYHTyoRvHDnqJXqE3yEdH6ASdogmaIuoY54vzfnulu5X94f7s01na7mBboT7q+/dHLyoA=</latexit>ρ, λ, η ζ
<latexit sha1_base64="jN5lbITVI8N59fOX6H102/CNDHc=">ACFnicbZBNS8MwGMfT+TbnW9Wjl+AqeNDR7qJ4GnrxOMG9wFpGmZbWJqWJBVm2afw4lfx4kERr+LNb2PaFdTNJwR+/J/nT/L8/ZhRqWz7ygtLa+srpXKxubW9s75u5eW0aJwKSFIxaJro8kYZSTlqKkW4sCAp9Rjr+Crd+6IkDTit2oSEy9EQ04HFCOlpb5arliFkn0HKZdgUoR6KQ5V78HC3dZ1rfrNo1Oy+4CE4BVBUs29+ukGEk5BwhRmSsufYsfJSJBTFjEwrbiJjPAYDUlPI0chkV6arzWFR1oJ4CAS+nIFc/W3I0WhlJPQ15MhUiM538vE/3q9RA3OvZTyOFGE49lDg4RBFcEsIxhQbBiEw0IC6r/CvEICYSVTrKiQ3DmV16Edr3maL6pVxuXRxlcAOwTFwBlogGvQBC2AwQN4Ai/g1Xg0no034302WjIKz74U8bHN3wOm8=</latexit><latexit sha1_base64="jN5lbITVI8N59fOX6H102/CNDHc=">ACFnicbZBNS8MwGMfT+TbnW9Wjl+AqeNDR7qJ4GnrxOMG9wFpGmZbWJqWJBVm2afw4lfx4kERr+LNb2PaFdTNJwR+/J/nT/L8/ZhRqWz7ygtLa+srpXKxubW9s75u5eW0aJwKSFIxaJro8kYZSTlqKkW4sCAp9Rjr+Crd+6IkDTit2oSEy9EQ04HFCOlpb5arliFkn0HKZdgUoR6KQ5V78HC3dZ1rfrNo1Oy+4CE4BVBUs29+ukGEk5BwhRmSsufYsfJSJBTFjEwrbiJjPAYDUlPI0chkV6arzWFR1oJ4CAS+nIFc/W3I0WhlJPQ15MhUiM538vE/3q9RA3OvZTyOFGE49lDg4RBFcEsIxhQbBiEw0IC6r/CvEICYSVTrKiQ3DmV16Edr3maL6pVxuXRxlcAOwTFwBlogGvQBC2AwQN4Ai/g1Xg0no034302WjIKz74U8bHN3wOm8=</latexit><latexit sha1_base64="jN5lbITVI8N59fOX6H102/CNDHc=">ACFnicbZBNS8MwGMfT+TbnW9Wjl+AqeNDR7qJ4GnrxOMG9wFpGmZbWJqWJBVm2afw4lfx4kERr+LNb2PaFdTNJwR+/J/nT/L8/ZhRqWz7ygtLa+srpXKxubW9s75u5eW0aJwKSFIxaJro8kYZSTlqKkW4sCAp9Rjr+Crd+6IkDTit2oSEy9EQ04HFCOlpb5arliFkn0HKZdgUoR6KQ5V78HC3dZ1rfrNo1Oy+4CE4BVBUs29+ukGEk5BwhRmSsufYsfJSJBTFjEwrbiJjPAYDUlPI0chkV6arzWFR1oJ4CAS+nIFc/W3I0WhlJPQ15MhUiM538vE/3q9RA3OvZTyOFGE49lDg4RBFcEsIxhQbBiEw0IC6r/CvEICYSVTrKiQ3DmV16Edr3maL6pVxuXRxlcAOwTFwBlogGvQBC2AwQN4Ai/g1Xg0no034302WjIKz74U8bHN3wOm8=</latexit><latexit sha1_base64="jN5lbITVI8N59fOX6H102/CNDHc=">ACFnicbZBNS8MwGMfT+TbnW9Wjl+AqeNDR7qJ4GnrxOMG9wFpGmZbWJqWJBVm2afw4lfx4kERr+LNb2PaFdTNJwR+/J/nT/L8/ZhRqWz7ygtLa+srpXKxubW9s75u5eW0aJwKSFIxaJro8kYZSTlqKkW4sCAp9Rjr+Crd+6IkDTit2oSEy9EQ04HFCOlpb5arliFkn0HKZdgUoR6KQ5V78HC3dZ1rfrNo1Oy+4CE4BVBUs29+ukGEk5BwhRmSsufYsfJSJBTFjEwrbiJjPAYDUlPI0chkV6arzWFR1oJ4CAS+nIFc/W3I0WhlJPQ15MhUiM538vE/3q9RA3OvZTyOFGE49lDg4RBFcEsIxhQbBiEw0IC6r/CvEICYSVTrKiQ3DmV16Edr3maL6pVxuXRxlcAOwTFwBlogGvQBC2AwQN4Ai/g1Xg0no034302WjIKz74U8bHN3wOm8=</latexit>mρ = mλ = mη = mζ = m
<latexit sha1_base64="jd2twFE+DW0xJ9Y1PaN+UJaUaU=">ACDXicbZA9SwNBEIbn/Izx69TSZjERrMKdjTZC0MYygvmAJIS9vb1kyd7esbsnxCN/wMa/YqOgiNjZ2/lD7N27pNDEgWUe3plhdl4v5kxpx/myFhaXldWC2vF9Y3NrW17Z7ehokQSWicRj2TLw4pyJmhdM81pK5YUhx6nTW94kdWbN1QqFolrPYpN8R9wQJGsDZSzy6jsNeRgwidmczNnI8zohrnyq0Bk+2SU3HyQPgTqFULX8/vQNArWd/dvyIJCEVmnCsVNt1Yt1NsdSMcDoudhJFY0yGuE/bBgUOqeqm+TVjdGgUHwWRNE9olKu/J1IcKjUKPdMZYj1Qs7VM/K/WTnRw2k2ZiBNBZksChKOdIQya5DPJCWajwxgIpn5KyIDLDHRxsCiMcGdPXkeGscV1/CVceMcJlGAfTiAI3DhBKpwCTWoA4E7eIBneLHurUfr1XqbtC5Y05k9+BPWxw8Ni53X</latexit><latexit sha1_base64="d1oTDzped+vbxoQYZd+QZWd/w1g=">ACDXicbZA9T8MwEIad8lVaPgKMLBYtElOVsMCVMHCWCT6IbVR5Thua9V2ItupVKL+ARb+CgtIMTCwM7GD4EZJ+0ALSdZ9+i9O53v9SNGlXacTyu3tLyupZfLxQ3Nre27Z3dhgpjiUkdhyULR8pwqgdU01I61IEsR9Rpr+8CKtN0dEKhqKaz2OiMdRX9AexUgbqWuXIe925CEZyYzMxeglIhGmXJjwGS75FScLOAiuDMoVctfj2+j4neta390ghDHnAiNGVKq7TqR9hIkNcWMTAqdWJEI4SHqk7ZBgThRXpJdM4GHRglgL5TmCQ0z9fdEgrhSY+6bTo70QM3XUvG/WjvWvVMvoSKNRF4uqgXM6hDmFoDAyoJ1mxsAGFJzV8hHiCJsDYGFowJ7vzJi9A4riGr4wb52AaebAPDsARcMEJqIJLUAN1gMEtuAdP4Nm6sx6sF+t12pqzZjN74E9Y7z8GK59R</latexit><latexit sha1_base64="d1oTDzped+vbxoQYZd+QZWd/w1g=">ACDXicbZA9T8MwEIad8lVaPgKMLBYtElOVsMCVMHCWCT6IbVR5Thua9V2ItupVKL+ARb+CgtIMTCwM7GD4EZJ+0ALSdZ9+i9O53v9SNGlXacTyu3tLyupZfLxQ3Nre27Z3dhgpjiUkdhyULR8pwqgdU01I61IEsR9Rpr+8CKtN0dEKhqKaz2OiMdRX9AexUgbqWuXIe925CEZyYzMxeglIhGmXJjwGS75FScLOAiuDMoVctfj2+j4neta390ghDHnAiNGVKq7TqR9hIkNcWMTAqdWJEI4SHqk7ZBgThRXpJdM4GHRglgL5TmCQ0z9fdEgrhSY+6bTo70QM3XUvG/WjvWvVMvoSKNRF4uqgXM6hDmFoDAyoJ1mxsAGFJzV8hHiCJsDYGFowJ7vzJi9A4riGr4wb52AaebAPDsARcMEJqIJLUAN1gMEtuAdP4Nm6sx6sF+t12pqzZjN74E9Y7z8GK59R</latexit><latexit sha1_base64="Nc8Tz/3tkMtslerzFQ6AYFc/4U=">ACDXicbZA7T8MwEMcdnqW8AowsFgWJqUpYEGqYGEsEn1IbVQ5jtNa9SOyHaQS9Quw8FVYGECIlZ2Nb4OTZoCWk6z76X93Ot8/TBjVxvO+naXldW19cpGdXNre2fX3dtva5kqTFpYMqm6IdKEUFahpGuokiIeMdMLxdV7v3BOlqR3ZpKQgKOhoDHFyFhp4B5DPuirkYSXNjM7F6GciEGF8mDBZrfm1b0i4CL4JdRAGc2B+9WPJE45EQYzpHXP9xITZEgZihmZVvupJgnCYzQkPYsCcaKDrLhmCk+sEsFYKvuEgYX6eyJDXOsJD20nR2ak52u5+F+tl5r4IsioSFJDBJ4tilMGjYS5NTCimDJhYQVtT+FeIRUgba2DVmuDPn7wI7bO6b/nWqzWuSjsq4BAcgVPg3PQADegCVoAg0fwDF7Bm/PkvDjvzsesdckpZw7An3A+fwBDG5sI</latexit>M = 5m
<latexit sha1_base64="XqGTnX2MRV/TM2ETQJL+3BtiYtE=">AB63icbZDLSgMxFIbP1Fsdb1WXboJFcFVmBNFNsejGjVDBXqAdSibNtKFJZkgyQhkKPoEbF4q49Vncu/NtzLRdaPWHwMf/n0POWHCmTae9+UlpZXVteK6+7G5tb2Tml3r6njVBHaIDGPVTvEmnImacMw2k7URSLkNWOLrK89Y9VZrF8s6MExoIPJAsYgSb3LqpnopeqexVvKnQX/DnUL74cKsPAFDvlT67/ZikgkpDONa643uJCTKsDCOcTtxuqmCyQgPaMeixILqIJvOkFH1umjKFb2SYOm7s+ODAutxyK0lQKboV7McvO/rJOa6DzImExSQyWZfRSlHJkY5YujPlOUGD62gIlidlZEhlhYux5XHsEf3Hlv9A8qfiWb71y7RJmKsIBHMIx+HAGNbiGOjSAwBAe4RleHOE8Oa/O26y04Mx79uGXnPdv1WmPlw=</latexit><latexit sha1_base64="Svh1RLGC9+mEbe9rEWwBUMCPk=">AB63icbZDLSgMxFIbP1Fsdb1WXboJFcFVmBNFNsejGjVDBXqAdSiZN29AkMyQZoQx9BTcuFHEnPot7N+LbmGm70NYfAh/fw454QxZ9p43reTW1peWV3Lr7sbm1vbO4XdvbqOEkVojUQ8Us0Qa8qZpDXDKfNWFEsQk4b4fAqyxv3VGkWyTszimkgcF+yHiPYZNZN+VR0CkWv5E2EFsGfQfHiwy3Hb19utVP4bHcjkgqDeFY65bvxSZIsTKMcDp24mMSZD3KctixILqoN0MusYHVmni3qRsk8aNHF/d6RYaD0Soa0U2Az0fJaZ/2WtxPTOg5TJODFUkulHvYQjE6FscdRlihLDRxYwUczOisgAK0yMPY9rj+DPr7wI9ZOSb/nWK1YuYao8HMAhHIMPZ1CBa6hCDQgM4AGe4NkRzqPz4rxOS3POrGcf/sh5/wHG+JEL</latexit><latexit sha1_base64="Svh1RLGC9+mEbe9rEWwBUMCPk=">AB63icbZDLSgMxFIbP1Fsdb1WXboJFcFVmBNFNsejGjVDBXqAdSiZN29AkMyQZoQx9BTcuFHEnPot7N+LbmGm70NYfAh/fw454QxZ9p43reTW1peWV3Lr7sbm1vbO4XdvbqOEkVojUQ8Us0Qa8qZpDXDKfNWFEsQk4b4fAqyxv3VGkWyTszimkgcF+yHiPYZNZN+VR0CkWv5E2EFsGfQfHiwy3Hb19utVP4bHcjkgqDeFY65bvxSZIsTKMcDp24mMSZD3KctixILqoN0MusYHVmni3qRsk8aNHF/d6RYaD0Soa0U2Az0fJaZ/2WtxPTOg5TJODFUkulHvYQjE6FscdRlihLDRxYwUczOisgAK0yMPY9rj+DPr7wI9ZOSb/nWK1YuYao8HMAhHIMPZ1CBa6hCDQgM4AGe4NkRzqPz4rxOS3POrGcf/sh5/wHG+JEL</latexit><latexit sha1_base64="1Prtxm2z6mHxbqOVxF9MmD0p1UM=">AB63icbZDLSgMxFIbP1Fut6pLN8EiuCozguhGKLpxI1SwtAOJZNm2tBchiQjlKGv4MaFIm59IXe+jZl2Ftr6Q+DjP+eQc/4o4cxY3/2Siura+sb5c3K1vbO7l51/+DRqFQT2iK92JsKGcSdqyzHLaSTFIuK0HY1v8nr7iWrDlHywk4SGAg8lixnBNrfurs5Fv1rz6/5MaBmCAmpQqNmvfvUGiqSCSks4NqYb+IkNM6wtI5xOK73U0ASTMR7SrkOJBTVhNt1ik6cM0Cx0u5Ji2bu74kMC2MmInKdAtuRWazl5n+1bmrjyzBjMktlWT+UZxyZBXKD0cDpimxfOIAE83croiMsMbEungqLoRg8eRleDyrB47v/VrjuoijDEdwDKcQwAU04Ba0AICI3iGV3jzhPfivXsf89aSV8wcwh95nz9mMY3K</latexit>r1,~ r2,~ r3,~ r4,~ r5) = 1 (2⇡)3/2 e
~ PCM· ~ R rel P c(~
⇢,~ , ~ ⌘, ~ ⇣) =
<latexit sha1_base64="Bim48ZdmYnd1UzUQ6ZqGP6xF1sk=">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</latexit><latexit sha1_base64="Bim48ZdmYnd1UzUQ6ZqGP6xF1sk=">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</latexit><latexit sha1_base64="Bim48ZdmYnd1UzUQ6ZqGP6xF1sk=">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</latexit><latexit sha1_base64="Bim48ZdmYnd1UzUQ6ZqGP6xF1sk=">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</latexit>α2
i = (5Cmi)
1 2 ,
ωi = r 5C mi , i = {ρ, λ, η, ζ}
<latexit sha1_base64="M61bWTmAPIgXdWCQgckBFrKoeE=">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</latexit><latexit sha1_base64="+ZMZjR1Ap6uCsy+05ShBH1q6IRk=">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</latexit><latexit sha1_base64="+ZMZjR1Ap6uCsy+05ShBH1q6IRk=">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</latexit><latexit sha1_base64="MP1L1e2fr8aUJm6XNF9G7RBebU=">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</latexit>C
<latexit sha1_base64="uW4oav7Ke1g6uzWlQTpG7PSjRE=">AB6HicbZC7SwNBEMbnfMb4ilraLAbBKtzZaCMG01gmYB6QHGFvM5es2ds7dveEcATsbSwUsfWfsbfzv3HzKDTxg4Uf3zfDzkyQCK6N6347K6tr6xubua389s7u3n7h4LCh41QxrLNYxKoVUI2CS6wbgS2EoU0CgQ2g2FlkjcfUGkeyzszStCPaF/ykDNqrFWrdAtFt+RORZbBm0Px+jN/9QgA1W7hq9OLWRqhNExQrduemxg/o8pwJnCc76QaE8qGtI9ti5JGqP1sOuiYnFqnR8JY2ScNmbq/OzIaT2KAlsZUTPQi9nE/C9rpya89DMuk9SgZLOPwlQE5PJ1qTHFTIjRhYoU9zOStiAKsqMvU3eHsFbXHkZGuclz3LNLZvYKYcHMJnIEHF1CGW6hCHRgPMELvDr3zrPz5rzPSlecec8R/JHz8QMD7o6Q</latexit><latexit sha1_base64="oTf7HGpj/G6JIkIt9yR1oAbpKP4=">AB6HicbZC7SgNBFIbPxltcb1FLm8UgWIVdG23EYBrLBMwFkiXMTs4mY2Znl5lZISx5AhsLRWz1YextxLdxcik08YeBj/8/hznBAlnSrvut5VbWV1b38hv2lvbO7t7hf2DhopTSbFOYx7LVkAUciawrpnm2Eokijg2AyGlUnevEepWCxu9ShBPyJ9wUJGiTZWrdItFN2SO5WzDN4cilcf9mXy/mVXu4XPTi+maYRCU06Uantuov2MSM0ox7HdSRUmhA5JH9sGBYlQ+dl0LFzYpyeE8bSPKGdqfu7IyORUqMoMJUR0QO1mE3M/7J2qsMLP2MiSTUKOvsoTLmjY2eytdNjEqnmIwOESmZmdeiASEK1uY1tjuAtrwMjbOSZ7jmFsvXMFMejuAYTsGDcyjDVShDhQHuAJnq0769F6sV5npTlr3nMIf2S9/QD1bpAE</latexit><latexit sha1_base64="oTf7HGpj/G6JIkIt9yR1oAbpKP4=">AB6HicbZC7SgNBFIbPxltcb1FLm8UgWIVdG23EYBrLBMwFkiXMTs4mY2Znl5lZISx5AhsLRWz1YextxLdxcik08YeBj/8/hznBAlnSrvut5VbWV1b38hv2lvbO7t7hf2DhopTSbFOYx7LVkAUciawrpnm2Eokijg2AyGlUnevEepWCxu9ShBPyJ9wUJGiTZWrdItFN2SO5WzDN4cilcf9mXy/mVXu4XPTi+maYRCU06Uantuov2MSM0ox7HdSRUmhA5JH9sGBYlQ+dl0LFzYpyeE8bSPKGdqfu7IyORUqMoMJUR0QO1mE3M/7J2qsMLP2MiSTUKOvsoTLmjY2eytdNjEqnmIwOESmZmdeiASEK1uY1tjuAtrwMjbOSZ7jmFsvXMFMejuAYTsGDcyjDVShDhQHuAJnq0769F6sV5npTlr3nMIf2S9/QD1bpAE</latexit><latexit sha1_base64="lQP7tUz1AVNrShbaC7eI2HQhxMc=">AB6HicbZA9TwJBEIbn8AvxC7W02UhMrMidjZREGktI5COBC9lb5mBlb+yu2dCLvwCGwuNsfUn2flvXOAKBd9kyfvzGRn3iARXBvX/XYKW9s7u3vF/dLB4dHxSfn0rKPjVDFs1jEqhdQjYJLbBtuBPYShTQKBHaDaWNR7z6h0jyWD2aWoB/RseQhZ9RYq9UYlitu1V2KbIKXQwVyNYflr8EoZmE0jBte57bmL8jCrDmcB5aZBqTCib0jH2LUoaofaz5aJzcmWdEQljZ80ZOn+nshopPUsCmxnRM1Er9cW5n+1fmrCmp9xmaQGJVt9FKaCmJgsriYjrpAZMbNAmeJ2V8ImVFmbDYlG4K3fvImdG6qnuW6nf5XEU4QIu4Ro8uIU63EMT2sA4Rle4c15dF6cd+dj1Vpw8plz+CPn8weUp4zD</latexit>Helicity amplitudes for electromagne5c decays of pentaquarks [12] in terms of and the ini5al momentum of photon . The results are expresed in the rest frame of the pentaquark where the helicity amplitud is
Estado Nombre α1/2 α3/2 [φA1 × χF2]F2 P ∆
c
[φF2 × χA1]F2 P ∆
c
[φF2 × χF2]F2 P ∆
c
[φF2 × χA1]F2 P N
c
[φF2 × χF2]F2 P N
c 1 6 √ 2ec 1 2 √ 6ec
[φE × χF2]F2 P N
c
− 1
6ec
−
1 2 √ 3ec
[φF1 × χF2]F2 P N
c
−
1 2 √ 6ec
−
1 2 √ 2ec
<latexit sha1_base64="NSRHfZ59kXkVrQrJ9Nqkd7H0=">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</latexit><latexit sha1_base64="NSRHfZ59kXkVrQrJ9Nqkd7H0=">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</latexit><latexit sha1_base64="NSRHfZ59kXkVrQrJ9Nqkd7H0=">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</latexit><latexit sha1_base64="NSRHfZ59kXkVrQrJ9Nqkd7H0=">AGnicvVTPb9MwFM5GA1v41cGRi0UL4rKRZGhwHD82cZqKRLdJdYkc12msOk6wHaTKyt/BhX+FCwcQ4oa48N/gJhm0XYEVoT0p0pfvPfv73pP1woxRqVz3+8rqhYZ98dLaunP5ytVr15sbNw5lmgtMujhlqTgOkSMctJVDFynAmCkpCRo3D0dJI/ekOEpCl/qcYZ6SdoyGlEMVKGCjYaLgzJkHKtUJgzJAqNTRTOuQpYnTINZQJYkyOaFY4MJ7oOHtSoUEK7oKDNAkFMaANEctiFGjvl+0p4ntkoDQ+dOFC3NtyEikegBmMQ3048ArAFQ0IRJAPGH2A98wg5j1a/+SuFOgF9p+IwhQzhGMYtef3LmaVqnunlSrt81D6fz2dfbL9XtwHq2eiJiziKs0ZsFjATC2iv0DpSvhdJ+UQASYFA9tgV1flW3U9Wd1efeP7jc/OWt1pohayPbyxnZX+q9n7Yy3/6ipP83SyePiPDBzwURNFvulsGOA28GrSsOjpB8yscpDhPCFeYISl7npupvkZCUcyIEcklyRAeoSHpGciRabmvy9VWgDuGYAoFebjCpTs9AmNEinHSWgqE6RiOZ+bkItyvVxFj/qa8ixXhONKMoZUCmY7EkwoIJgxcYGICyo8QpwjMz8lNmjhmCN9/yaXDob3kGv3jQ2n1Sj2PNumXdtu5ZnvXQ2rWeWx2ra+HG28b7xsfGJ/ud/cH+bH+pSldX6jM3rZmwv/0A7n9nA=</latexit>14
Pc(uudc¯ c) → p + γ
<latexit sha1_base64="IwVW9Oi3MtCgOHVNH40ph9RqGs=">ACB3icbVC7SgNBFL3rM8ZX1FKQIUGIBMKujZBG8sI5gHZEO5OJsmQmd1lZlYISzob/8LaxkIRW3/Bzr9x8ig08cDA4Zx7uXNOEAujet+Oyura+sbm5mt7PbO7t5+7uCwrqNEUVajkYhUM0DNBA9ZzXAjWDNWDGUgWCMYXk/8xj1TmkfhnRnFrC2xH/Iep2is1MmdVDu0mCRd6geoUjo+801EYlIifh+lxE6u4JbdKcgy8eakUMn7pScAqHZyX343olkoaECtW5bmzaKSrDqWDjrJ9oFiMdYp+1LA1RMt1OpznG5NQqXdKLlH2hIVP190aKUuRDOykRDPQi95E/M9rJaZ32U5GCeGhXR2qJcIYrNOSiFdrhg1YmQJUsXtXwkdoEJqbHVZW4K3GHmZ1M/LnuW3to0rmCEDx5CHInhwARW4gSrUgMIDPMrvDmPzovz7nzMRlec+c4R/IHz+QOaPpn1</latexit><latexit sha1_base64="LwjBPT1IfETl2rNSUhYVKdNdEms=">ACB3icbVC7SgNBFJ2Nrxhfq5aCDAlCJB2bQM2lhGMA/ILuHuZJIMmdldZmaFZUlnY+9X2FgoYusv2OVvnDwKTwcDjnXu6cE8ScKe04Eyu3tr6xuZXfLuzs7u0f2IdHTRUlktAGiXgk2wEoylIG5pTtuxpCACTlvB6Gbqtx6oVCwK73UaU1/AIGR9RkAbqWuf1ruknCQ94gUgMzI+93SEY1zB3gCEgK5dcqrODHiVuAtSqhW9yvOklta79rfXi0giaKgJB6U6rhNrPwOpGeF0XPASRWMgIxjQjqEhCKr8bJZjM+M0sP9SJoXajxTf29kIJRKRWAmBeihWvam4n9eJ9H9Kz9jYZxoGpL5oX7Csck6LQX3mKRE89QIJKZv2IyBAlEm+oKpgR3OfIqaV5UXcPvTBvXaI48OkFVEYukQ1dIvqIEIekQv6A29W0/Wq/Vhfc5Hc9Zi5xj9gfX1A6Oom3s=</latexit><latexit sha1_base64="LwjBPT1IfETl2rNSUhYVKdNdEms=">ACB3icbVC7SgNBFJ2Nrxhfq5aCDAlCJB2bQM2lhGMA/ILuHuZJIMmdldZmaFZUlnY+9X2FgoYusv2OVvnDwKTwcDjnXu6cE8ScKe04Eyu3tr6xuZXfLuzs7u0f2IdHTRUlktAGiXgk2wEoylIG5pTtuxpCACTlvB6Gbqtx6oVCwK73UaU1/AIGR9RkAbqWuf1ruknCQ94gUgMzI+93SEY1zB3gCEgK5dcqrODHiVuAtSqhW9yvOklta79rfXi0giaKgJB6U6rhNrPwOpGeF0XPASRWMgIxjQjqEhCKr8bJZjM+M0sP9SJoXajxTf29kIJRKRWAmBeihWvam4n9eJ9H9Kz9jYZxoGpL5oX7Csck6LQX3mKRE89QIJKZv2IyBAlEm+oKpgR3OfIqaV5UXcPvTBvXaI48OkFVEYukQ1dIvqIEIekQv6A29W0/Wq/Vhfc5Hc9Zi5xj9gfX1A6Oom3s=</latexit><latexit sha1_base64="bKfwaBgAJs4Or8/Fv6y347bKDPw=">ACB3icbVDLSsNAFJ3UV62vqEtBotQEUriRpdFNy4r2Ac0IdxMpu3QmSTMTIQSunPjr7hxoYhbf8Gdf+O0zUJbDwczrmXO+eEKWdKO863VpZXVvfKG9WtrZ3dvfs/YO2SjJaIskPJHdEBTlLKYtzTSn3VRSECGnXB0M/U7D1QqlsT3epxSX8AgZn1GQBspsI+bAalWUS8EGROJmeTnCKz7E3ACEgsKtO3ZkBLxO3IFVUoBnYX16UkEzQWBMOSvVcJ9V+DlIzwumk4mWKpkBGMKA9Q2MQVPn5LMcEnxolwv1EmhdrPFN/b+QglBqL0EwK0EO16E3F/7xepvtXfs7iNM0JvND/Yxjk3VaCo6YpETzsSFAJDN/xWQIEog21VMCe5i5GXSvqi7ht851cZ1UcZHaETVEMukQNdIuaqIUIekTP6BW9WU/Wi/VufcxHS1axc4j+wPr8AYe/mGw=</latexit>ec = 2/3
<latexit sha1_base64="/ci+8QAnko7y2YR3WIX3/fLbqJs=">AB7nicbZDLSgMxFIbPeK31VnXpJrQIglBn6kI3QtGNywr2Au1QMumZNjSTGZKMUIY+hBsXiujS53Hn25heFtr6Q+DjP+eQc/4gEVwb1/12VlbX1jc2c1v57Z3dvf3CwWFDx6liWGexiFUroBoFl1g3AhsJQpFAhsBsPbSb35iErzWD6YUYJ+RPuSh5xRY60mdtl15fyiWyi5ZXcqsgzeHErVYufsAwBq3cJXpxezNEJpmKBatz03MX5GleFM4DjfSTUmlA1pH9sWJY1Q+9l03TE5sU6PhLGyTxoydX9PZDTSehQFtjOiZqAXaxPzv1o7NeGVn3GZpAYlm30UpoKYmExuJz2ukBkxskCZ4nZXwgZUWZsQnkbgrd48jI0KmXP8r1N4wZmysExFOEUPLiEKtxBDerAYAhP8AKvTuI8O2/O+6x1xZnPHMEfOZ8/IjuQPQ=</latexit><latexit sha1_base64="ldK1fUv5sB8q9zmMv9MvUAIFtWU=">AB7nicbZDLSsNAFIZP6q3W9Wlm9AiCEJN6kI3QtGNywr2Am0ok+lJO3QyCTMTIYQ+hCAuFHr87jr2zi9LT1h4GP/5zDnP7MWdKO87Eyq2tb2xu5bcLO7t7+wfFw6OmihJsUEjHsm2TxRyJrChmebYjiWS0OfY8kd303rCaVikXjUaYxeSAaCBYwSbawW9uhN9eKyVyw7FWcmexXcBZRrpe75y6SW1nvF724/okmIQlNOlOq4Tqy9jEjNKMdxoZsojAkdkQF2DAoSovKy2bpj+9Q4fTuIpHlC2zP390RGQqXS0DedIdFDtVybmv/VOokOr2MiTjRKOj8oyDhto7s6e12n0mkmqcGCJXM7GrTIZGEapNQwYTgLp+8Cs1qxTX8YNK4hbnycAIlOAMXrqAG91CHBlAYwTO8wbsVW6/Wh/U5b81Zi5lj+CPr6wcrpZHD</latexit><latexit sha1_base64="ldK1fUv5sB8q9zmMv9MvUAIFtWU=">AB7nicbZDLSsNAFIZP6q3W9Wlm9AiCEJN6kI3QtGNywr2Am0ok+lJO3QyCTMTIYQ+hCAuFHr87jr2zi9LT1h4GP/5zDnP7MWdKO87Eyq2tb2xu5bcLO7t7+wfFw6OmihJsUEjHsm2TxRyJrChmebYjiWS0OfY8kd303rCaVikXjUaYxeSAaCBYwSbawW9uhN9eKyVyw7FWcmexXcBZRrpe75y6SW1nvF724/okmIQlNOlOq4Tqy9jEjNKMdxoZsojAkdkQF2DAoSovKy2bpj+9Q4fTuIpHlC2zP390RGQqXS0DedIdFDtVybmv/VOokOr2MiTjRKOj8oyDhto7s6e12n0mkmqcGCJXM7GrTIZGEapNQwYTgLp+8Cs1qxTX8YNK4hbnycAIlOAMXrqAG91CHBlAYwTO8wbsVW6/Wh/U5b81Zi5lj+CPr6wcrpZHD</latexit><latexit sha1_base64="5mGVmFkxvLN0Yx92DQHoO76oQ=">AB7nicbZA9SwNBEIbn4leMX1FLm8UgWMW7WGgjBG0sI5gPSI6wt5lLluztHbt7QjyI2wsFLH19j5b9wkV2jiCwsP78ywM2+QCK6N6347hbX1jc2t4nZpZ3dv/6B8eNTScaoYNlksYtUJqEbBJTYNwI7iUIaBQLbwfhuVm8/odI8lo9mkqAf0aHkIWfUWKuNfXZTu7jslytu1Z2LrIKXQwVyNfrlr94gZmE0jBte56bmL8jCrDmcBpqZdqTCgb0yF2LUoaofaz+bpTcmadAQljZ80ZO7+nshopPUkCmxnRM1IL9dm5n+1bmrCaz/jMkNSrb4KEwFMTGZ3U4GXCEzYmKBMsXtroSNqKLM2IRKNgRv+eRVaNWqnuUHt1K/zeMowgmcwjl4cAV1uIcGNIHBGJ7hFd6cxHlx3p2PRWvByWeO4Y+czx8PvI60</latexit>[12] E. Or5z-Pacheco, R. Bijker, and C. Fernández-Ramírez, J. Phys. G. 46, 065104 (2019)
k
<latexit sha1_base64="+VAnA/3HfPN2OYTCxIc4iav7tDQ=">AB6HicbZC7SwNBEMbn4ivGV9TSZjEIVuHORhsxaGOZgHlAcoS9zVyZm/v2N0TwhGwt7FQxNZ/xt7O/8bNo9DEDxZ+fN8MOzNBIrg2rvt5FZW19Y38puFre2d3b3i/kFDx6liWGexiFUroBoFl1g3AhsJQpFAhsBsObSd58QKV5LO/MKE/on3JQ86osVZt2C2W3LI7FVkGbw6lq8/C5SMAVLvFr04vZmE0jBtW57bmL8jCrDmcBxoZNqTCgb0j62LUoaofaz6aBjcmKdHgljZ80ZOr+7shopPUoCmxlRM1AL2YT87+snZrws+4TFKDks0+ClNBTEwmW5MeV8iMGFmgTHE7K2EDqigz9jYFewRvceVlaJyVPcs1t1S5hpnycATHcAoenEMFbqEKdWCA8AQv8OrcO8/Om/M+K80585D+CPn4wdAjo64</latexit><latexit sha1_base64="kYOC+rAjYeafmkOuSm5v76mvdYM=">AB6HicbZC7SgNBFIbPeo3rLWpMxgEq7Bro40YtLFMwFwgCWF2cjYZMzu7zMwKYckT2FgoYqsPY28jvo2TS6GJPwx8/P85zDknSATXxvO+naXldW19dyGu7m1vbOb39uv6ThVDKsFrFqBFSj4BKrhuBjUQhjQKB9WBwPc7r96g0j+WtGSbYjmhP8pAzaqxVGXTyBa/oTUQWwZ9B4fLDvUjev9xyJ/Z6sYsjVAaJqjWTd9LTDujynAmcOS2Uo0JZQPaw6ZFSPU7Wwy6IgcW6dLwljZJw2ZuL87MhpPYwCWxlR09fz2dj8L2umJjxvZ1wmqUHJph+FqSAmJuOtSZcrZEYMLVCmuJ2VsD5VlBl7G9cewZ9feRFqp0XfcsUrlK5gqhwcwhGcgA9nUIbKEMVGCA8wBM8O3fOo/PivE5Ll5xZzwH8kfP2AzIdkCw=</latexit><latexit sha1_base64="kYOC+rAjYeafmkOuSm5v76mvdYM=">AB6HicbZC7SgNBFIbPeo3rLWpMxgEq7Bro40YtLFMwFwgCWF2cjYZMzu7zMwKYckT2FgoYqsPY28jvo2TS6GJPwx8/P85zDknSATXxvO+naXldW19dyGu7m1vbOb39uv6ThVDKsFrFqBFSj4BKrhuBjUQhjQKB9WBwPc7r96g0j+WtGSbYjmhP8pAzaqxVGXTyBa/oTUQWwZ9B4fLDvUjev9xyJ/Z6sYsjVAaJqjWTd9LTDujynAmcOS2Uo0JZQPaw6ZFSPU7Wwy6IgcW6dLwljZJw2ZuL87MhpPYwCWxlR09fz2dj8L2umJjxvZ1wmqUHJph+FqSAmJuOtSZcrZEYMLVCmuJ2VsD5VlBl7G9cewZ9feRFqp0XfcsUrlK5gqhwcwhGcgA9nUIbKEMVGCA8wBM8O3fOo/PivE5Ll5xZzwH8kfP2AzIdkCw=</latexit><latexit sha1_base64="GViJ6wB25AnI2O8mj/rvJD+9lFM=">AB6HicbZBNT8JAEIan+IX4hXr0spGYeCKtFz0SvXiExAIJNGS7TGFlu212tyak4Rd48aAxXv1J3vw3LtCDgm+yZN3ZrIzb5gKro3rfjuljc2t7Z3ybmVv/+DwqHp80tZJphj6LBGJ6oZUo+ASfcONwG6qkMahwE4uZvXO0+oNE/kg5mGMR0JHnEGTXWak0G1Zpbdxci6+AVUINCzUH1qz9MWBajNExQrXuem5ogp8pwJnBW6WcaU8omdIQ9i5LGqIN8seiMXFhnSKJE2ScNWbi/J3Iaz2NQ9sZUzPWq7W5+V+tl5noJsi5TDODki0/ijJBTELmV5MhV8iMmFqgTHG7K2FjqigzNpuKDcFbPXkd2ld1z3LrTVuizjKcAbncAkeXEMD7qEJPjBAeIZXeHMenRfn3flYtpacYuYU/sj5/AHR4zr</latexit>A⌫ = s 5 √ 5 3 √ 3 r 4πα k e−
5 12α2 |~
k|2α⌫
<latexit sha1_base64="oNEnwX1GMuKVhGTLOwO1tZ5j2ME=">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</latexit><latexit sha1_base64="vY5ZnjBnyBbYQc7XlO8bvuRnXdY=">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</latexit><latexit sha1_base64="vY5ZnjBnyBbYQc7XlO8bvuRnXdY=">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</latexit><latexit sha1_base64="+5XiYcght34gDiDF5jbEgWwOnI=">ACZnicbVFNTxsxEPVuvyBtIYCqHnqxGlXqpWg3FJVLJUovPVKpAaQ4iWadWLF693aXqTI+E9y49wLP6Pe7B4odCRLb957o7Gfs0oKY5PkNoqfPH32/MXGZu/lq9db2/2d3TNT1prjiJey1BcZGJRC4cgK/Gi0ghFJvE8W35v9PMr1EaU6pdVTgp4FKJXHCwgZr1PSvALjhI983PmKq/MvNbW8dyDdwdts2h9+6ghQfe+/uOz6wSDGS1AO+W3uPUfepGvUuHrTIdenrNrpAHx/V0SH1LN9tm/UGyn6yLPgZpBwakq9NZ/4bNS14XqCyXYMw4TSo7caCt4BJ9j9UGK+BLuMRxgAoKNBO3jsnTD4GZ07zU4ShL1+z9CQeFMasiC84mFPNQa8j/aePa5kcTJ1RVW1S8XZTXktqSNpnTudDIrVwFAFyLcFfKFxBisuFneiGE9OGTH4Oz4X4a8M9kcHzSxbFB3pH35CNJyRdyTH6QUzIinPyJNqPdaC+6i7fiN/Hb1hpH3cwe+adi+hd2PrxH</latexit>JP = 3/2−
<latexit sha1_base64="c7znuxJ9jxZ+Vyvf52JLA851fs=">AB8HicbZDLSgMxFIbP1Fut6pLN8EiuLHOVE3QtGNuKpgL9JOSybNtKFJZkgyQhn6FG5cKOLWx3Hn25heFtr6Q+DjP+eQc/4g5kwb1/12MkvLK6tr2fXcxubW9k5+d6+mo0QRWiURj1QjwJpyJmnVMNpI1YUi4DTejC4GdfrT1RpFskHM4ypL3BPspARbKz1eNeuXJ2dltonXzBLboToUXwZlCAmSqd/FerG5FEUGkIx1o3PTc2foqVYTUa6VaBpjMsA92rQosaDaTycLj9CRdbojJR90qCJ+3sixULroQhsp8Cmr+drY/O/WjMx4aWfMhknhkoy/ShMODIRGl+PukxRYvjQAiaK2V0R6WOFibEZ5WwI3vzJi1ArFT3L9+eF8vUsjiwcwCEcgwcXUIZbqEAVCAh4hld4c5Tz4rw7H9PWjDOb2Yc/cj5/AOlNjyg=</latexit><latexit sha1_base64="c7znuxJ9jxZ+Vyvf52JLA851fs=">AB8HicbZDLSgMxFIbP1Fut6pLN8EiuLHOVE3QtGNuKpgL9JOSybNtKFJZkgyQhn6FG5cKOLWx3Hn25heFtr6Q+DjP+eQc/4g5kwb1/12MkvLK6tr2fXcxubW9k5+d6+mo0QRWiURj1QjwJpyJmnVMNpI1YUi4DTejC4GdfrT1RpFskHM4ypL3BPspARbKz1eNeuXJ2dltonXzBLboToUXwZlCAmSqd/FerG5FEUGkIx1o3PTc2foqVYTUa6VaBpjMsA92rQosaDaTycLj9CRdbojJR90qCJ+3sixULroQhsp8Cmr+drY/O/WjMx4aWfMhknhkoy/ShMODIRGl+PukxRYvjQAiaK2V0R6WOFibEZ5WwI3vzJi1ArFT3L9+eF8vUsjiwcwCEcgwcXUIZbqEAVCAh4hld4c5Tz4rw7H9PWjDOb2Yc/cj5/AOlNjyg=</latexit><latexit sha1_base64="c7znuxJ9jxZ+Vyvf52JLA851fs=">AB8HicbZDLSgMxFIbP1Fut6pLN8EiuLHOVE3QtGNuKpgL9JOSybNtKFJZkgyQhn6FG5cKOLWx3Hn25heFtr6Q+DjP+eQc/4g5kwb1/12MkvLK6tr2fXcxubW9k5+d6+mo0QRWiURj1QjwJpyJmnVMNpI1YUi4DTejC4GdfrT1RpFskHM4ypL3BPspARbKz1eNeuXJ2dltonXzBLboToUXwZlCAmSqd/FerG5FEUGkIx1o3PTc2foqVYTUa6VaBpjMsA92rQosaDaTycLj9CRdbojJR90qCJ+3sixULroQhsp8Cmr+drY/O/WjMx4aWfMhknhkoy/ShMODIRGl+PukxRYvjQAiaK2V0R6WOFibEZ5WwI3vzJi1ArFT3L9+eF8vUsjiwcwCEcgwcXUIZbqEAVCAh4hld4c5Tz4rw7H9PWjDOb2Yc/cj5/AOlNjyg=</latexit><latexit sha1_base64="c7znuxJ9jxZ+Vyvf52JLA851fs=">AB8HicbZDLSgMxFIbP1Fut6pLN8EiuLHOVE3QtGNuKpgL9JOSybNtKFJZkgyQhn6FG5cKOLWx3Hn25heFtr6Q+DjP+eQc/4g5kwb1/12MkvLK6tr2fXcxubW9k5+d6+mo0QRWiURj1QjwJpyJmnVMNpI1YUi4DTejC4GdfrT1RpFskHM4ypL3BPspARbKz1eNeuXJ2dltonXzBLboToUXwZlCAmSqd/FerG5FEUGkIx1o3PTc2foqVYTUa6VaBpjMsA92rQosaDaTycLj9CRdbojJR90qCJ+3sixULroQhsp8Cmr+drY/O/WjMx4aWfMhknhkoy/ShMODIRGl+PukxRYvjQAiaK2V0R6WOFibEZ5WwI3vzJi1ArFT3L9+eF8vUsjiwcwCEcgwcXUIZbqEAVCAh4hld4c5Tz4rw7H9PWjDOb2Yc/cj5/AOlNjyg=</latexit>k = 2.1GeV
<latexit sha1_base64="Lipd5uHtHpcXBvOVoS1j9uB09/s=">AB73icbZC7SgNBFIbPeo3xFrW0GQyCVdi10SYtNAygrlAsoTZydlkyOzsOjMrhCXgM9hYKGLrk9jb+TZOLoUm/jDw8Z9zmHP+IBFcG9f9dpaWV1bX1nMb+c2t7Z3dwt5+XcepYlhjsYhVM6AaBZdYM9wIbCYKaRQIbASDq3G98YBK81jemWGCfkR7koecUWOt5qB8WvKusd4pFN2SOxFZBG8GxYvPfPkRAKqdwle7G7M0QmYoFq3PDcxfkaV4UzgKN9ONSaUDWgPWxYljVD72WTfETm2TpeEsbJPGjJxf09kNJ6GAW2M6Kmr+drY/O/Wis14bmfcZmkBiWbfhSmgpiYjI8nXa6QGTG0QJnidlfC+lRZmxEeRuCN3/yItRtYpZv3WLlEqbKwSEcwQl4cAYVuIEq1ICBgCd4gVfn3nl23pz3aeuSM5s5gD9yPn4ACgOQzg=</latexit><latexit sha1_base64="2XUsdf1QCeKbW/9i4LjmRxY9LHw=">AB73icbZC7SgNBFIbPxltcb1FLm8UgWIVdG2CQstI5gLJEuYnZxNhszOrjOzQljyEjYWighWPom9jfg2Ti6FJv4w8PGfc5hz/iDhTGnX/bZyS8srq2v5dXtjc2t7p7C7V1dxKinWaMxj2QyIQs4E1jTHJuJRBIFHBvB4HJcb9yjVCwWt3qYoB+RnmAho0Qbqzkon5S8K6x3CkW35E7kLI3g+L5h1O3r7saqfw2e7GNI1QaMqJUi3PTbSfEakZ5Tiy26nChNAB6WHLoCARKj+b7DtyjozTdcJYmie0M3F/T2QkUmoYBaYzIrqv5mtj879aK9XhmZ8xkaQaBZ1+FKbc0bEzPt7pMolU86EBQiUzuzq0TySh2kRkmxC8+ZMXoW4SM3zjFisXMFUeDuAQjsGDU6jANVShBhQ4PMATPFt31qP1Yr1OW3PWbGYf/sh6/wH7g5JC</latexit><latexit sha1_base64="2XUsdf1QCeKbW/9i4LjmRxY9LHw=">AB73icbZC7SgNBFIbPxltcb1FLm8UgWIVdG2CQstI5gLJEuYnZxNhszOrjOzQljyEjYWighWPom9jfg2Ti6FJv4w8PGfc5hz/iDhTGnX/bZyS8srq2v5dXtjc2t7p7C7V1dxKinWaMxj2QyIQs4E1jTHJuJRBIFHBvB4HJcb9yjVCwWt3qYoB+RnmAho0Qbqzkon5S8K6x3CkW35E7kLI3g+L5h1O3r7saqfw2e7GNI1QaMqJUi3PTbSfEakZ5Tiy26nChNAB6WHLoCARKj+b7DtyjozTdcJYmie0M3F/T2QkUmoYBaYzIrqv5mtj879aK9XhmZ8xkaQaBZ1+FKbc0bEzPt7pMolU86EBQiUzuzq0TySh2kRkmxC8+ZMXoW4SM3zjFisXMFUeDuAQjsGDU6jANVShBhQ4PMATPFt31qP1Yr1OW3PWbGYf/sh6/wH7g5JC</latexit><latexit sha1_base64="YAQuvRsmZ+mC5ufvpFHOujCr/1Y=">AB73icbZA9SwNBEIbn4leMX1FLm8UgWIU7G2EoIWEcwHJEfY28wlS/b2Lrt7QjyJ2wsFLH179j5b9wkV2jiCwsP78ywM2+QCK6N6347hbX1jc2t4nZpZ3dv/6B8eNTUcaoYNlgsYtUOqEbBJTYMNwLbiUIaBQJbweh2Vm89odI8lo9mkqAf0YHkIWfUWKs9ur6oenfY7JUrbtWdi6yCl0MFctV75a9uP2ZphNIwQbXueG5i/Iwqw5nAambakwoG9EBdixKGqH2s/m+U3JmnT4JY2WfNGTu/p7IaKT1JApsZ0TNUC/XZuZ/tU5qwis/4zJDUq2+ChMBTExmR1P+lwhM2JigTLF7a6EDamizNiISjYEb/nkVWjaxCw/uJXaTR5HEU7gFM7Bg0uowT3UoQEMBDzDK7w5Y+fFeXc+Fq0FJ585hj9yPn8AmryPAQ=</latexit>State Mass (GeV ) k =
m2
B0−m2 B
2mB0
(GeV ) Σ∗
c
2.520 0.060 Σc 2.455 Ξc 2.645 0.068 Ξc 2.576 Ω∗
c
2.766 0.070 Ωc 2.695
<latexit sha1_base64="xDNLoZnjpdazwVpYbw6tHbLa20=">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</latexit><latexit sha1_base64="xDNLoZnjpdazwVpYbw6tHbLa20=">ADqXicbVJb9MwFHYTLmu5dfDIi0XDGExEabS24wFpGg/wAGLTaFdRd5XjOqlVx4liB6my8tv4D7zxb3DaqKwXS1E+n3O+75zjc4KUM6k872/Nsu/df/DwoN549PjJ02fNw+cDmeQZoX2S8CQbBlhSzgTtK6Y4HaYZxXHA6U0w/1T6b37RTLJE/FCLlI5jHAkWMoKVMU0Oa78b9ToKaMSEVjIOc4KTQgpjLmOZqVsia4VhQewW9YSugcf6aDtw40d0ejZQ064Dkt5h9RmGi4m+eFPc+u9LYP6F9lemYsksDBWhzQOumZRjCfk9p1T6vpux/cWLrMDcVYzYJQe67X9e7QRYI5i4RGMsacyzlLiw2xSuq01lL7c09ZKtY3+2edvbkPufcyO60+tWuvtUv8c0Wnfku71ud1e6V7azoq4JVSUfqkq2lREV0/WsGpNmy8gsD9wF7Qq0QHUuJ80/aJqQPKZCEW7GOWp7qRprnClGOC0aKJc0xWSOIzoyUOCYyrFeTrmAr41lCsMkM59QcGm9y9A4lnIRByay7Fu+0rjPt8oV+HZWDOR5oKskoU5hyqBJZrC6cso0TxhQGYZMzUCskMm2VTZrnLR2hvt7wLBr7bNvjKb51fVM9xAF6CV+AYtEPnIMv4BL0AbGOrK9W3xrYJ/aVPbR/rkKtWsV5ATaOTf4BAyH+fA=</latexit><latexit sha1_base64="xDNLoZnjpdazwVpYbw6tHbLa20=">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</latexit><latexit sha1_base64="ck8pdC+ekZH4nUmSP+ZG7r8lEyk=">AB2XicbZDNSgMxFIXv1L86Vq1rN8EiuCozbnQpuHFZwbZCO5RM5k4bmskMyR2hDH0BF25EfC93vo3pz0JbDwQ+zknIvSculLQUBN9ebWd3b/+gfugfNfzjk9Nmo2fz0gjsilzl5jnmFpXU2CVJCp8LgzyLFfbj6f0i7+gsTLXTzQrMr4WMtUCk7O6oyaraAdLMW2IVxDC9YaNb+GS7KDUJxa0dhEFBUcUNSaFw7g9LiwUXUz7GgUPNM7RtRxzi6dk7A0N+5oYkv394uKZ9bOstjdzDhN7Ga2MP/LBiWlt1EldVESarH6KC0Vo5wtdmaJNChIzRxwYaSblYkJN1yQa8Z3HYSbG29D7odOn4MoA7ncAFXEMIN3MEDdKALAhJ4hXdv4r15H6uat6tDP4I+/zBzjGijg=</latexit><latexit sha1_base64="aN2Ya3xDE/vA4ovgJnhf6o3mBwE=">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</latexit><latexit sha1_base64="aN2Ya3xDE/vA4ovgJnhf6o3mBwE=">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</latexit><latexit sha1_base64="HrMxZD8FYxGXwuPFG1meBV61I/k=">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</latexit><latexit sha1_base64="xDNLoZnjpdazwVpYbw6tHbLa20=">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</latexit><latexit sha1_base64="xDNLoZnjpdazwVpYbw6tHbLa20=">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</latexit><latexit sha1_base64="xDNLoZnjpdazwVpYbw6tHbLa20=">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</latexit><latexit sha1_base64="xDNLoZnjpdazwVpYbw6tHbLa20=">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</latexit><latexit sha1_base64="xDNLoZnjpdazwVpYbw6tHbLa20=">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</latexit><latexit sha1_base64="xDNLoZnjpdazwVpYbw6tHbLa20=">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</latexit>Pc(uudc¯ c) → p + γ
<latexit sha1_base64="IwVW9Oi3MtCgOHVNH40ph9RqGs=">ACB3icbVC7SgNBFL3rM8ZX1FKQIUGIBMKujZBG8sI5gHZEO5OJsmQmd1lZlYISzob/8LaxkIRW3/Bzr9x8ig08cDA4Zx7uXNOEAujet+Oyura+sbm5mt7PbO7t5+7uCwrqNEUVajkYhUM0DNBA9ZzXAjWDNWDGUgWCMYXk/8xj1TmkfhnRnFrC2xH/Iep2is1MmdVDu0mCRd6geoUjo+801EYlIifh+lxE6u4JbdKcgy8eakUMn7pScAqHZyX343olkoaECtW5bmzaKSrDqWDjrJ9oFiMdYp+1LA1RMt1OpznG5NQqXdKLlH2hIVP190aKUuRDOykRDPQi95E/M9rJaZ32U5GCeGhXR2qJcIYrNOSiFdrhg1YmQJUsXtXwkdoEJqbHVZW4K3GHmZ1M/LnuW3to0rmCEDx5CHInhwARW4gSrUgMIDPMrvDmPzovz7nzMRlec+c4R/IHz+QOaPpn1</latexit><latexit sha1_base64="LwjBPT1IfETl2rNSUhYVKdNdEms=">ACB3icbVC7SgNBFJ2Nrxhfq5aCDAlCJB2bQM2lhGMA/ILuHuZJIMmdldZmaFZUlnY+9X2FgoYusv2OVvnDwKTwcDjnXu6cE8ScKe04Eyu3tr6xuZXfLuzs7u0f2IdHTRUlktAGiXgk2wEoylIG5pTtuxpCACTlvB6Gbqtx6oVCwK73UaU1/AIGR9RkAbqWuf1ruknCQ94gUgMzI+93SEY1zB3gCEgK5dcqrODHiVuAtSqhW9yvOklta79rfXi0giaKgJB6U6rhNrPwOpGeF0XPASRWMgIxjQjqEhCKr8bJZjM+M0sP9SJoXajxTf29kIJRKRWAmBeihWvam4n9eJ9H9Kz9jYZxoGpL5oX7Csck6LQX3mKRE89QIJKZv2IyBAlEm+oKpgR3OfIqaV5UXcPvTBvXaI48OkFVEYukQ1dIvqIEIekQv6A29W0/Wq/Vhfc5Hc9Zi5xj9gfX1A6Oom3s=</latexit><latexit sha1_base64="LwjBPT1IfETl2rNSUhYVKdNdEms=">ACB3icbVC7SgNBFJ2Nrxhfq5aCDAlCJB2bQM2lhGMA/ILuHuZJIMmdldZmaFZUlnY+9X2FgoYusv2OVvnDwKTwcDjnXu6cE8ScKe04Eyu3tr6xuZXfLuzs7u0f2IdHTRUlktAGiXgk2wEoylIG5pTtuxpCACTlvB6Gbqtx6oVCwK73UaU1/AIGR9RkAbqWuf1ruknCQ94gUgMzI+93SEY1zB3gCEgK5dcqrODHiVuAtSqhW9yvOklta79rfXi0giaKgJB6U6rhNrPwOpGeF0XPASRWMgIxjQjqEhCKr8bJZjM+M0sP9SJoXajxTf29kIJRKRWAmBeihWvam4n9eJ9H9Kz9jYZxoGpL5oX7Csck6LQX3mKRE89QIJKZv2IyBAlEm+oKpgR3OfIqaV5UXcPvTBvXaI48OkFVEYukQ1dIvqIEIekQv6A29W0/Wq/Vhfc5Hc9Zi5xj9gfX1A6Oom3s=</latexit><latexit sha1_base64="bKfwaBgAJs4Or8/Fv6y347bKDPw=">ACB3icbVDLSsNAFJ3UV62vqEtBotQEUriRpdFNy4r2Ac0IdxMpu3QmSTMTIQSunPjr7hxoYhbf8Gdf+O0zUJbDwczrmXO+eEKWdKO863VpZXVvfKG9WtrZ3dvfs/YO2SjJaIskPJHdEBTlLKYtzTSn3VRSECGnXB0M/U7D1QqlsT3epxSX8AgZn1GQBspsI+bAalWUS8EGROJmeTnCKz7E3ACEgsKtO3ZkBLxO3IFVUoBnYX16UkEzQWBMOSvVcJ9V+DlIzwumk4mWKpkBGMKA9Q2MQVPn5LMcEnxolwv1EmhdrPFN/b+QglBqL0EwK0EO16E3F/7xepvtXfs7iNM0JvND/Yxjk3VaCo6YpETzsSFAJDN/xWQIEog21VMCe5i5GXSvqi7ht851cZ1UcZHaETVEMukQNdIuaqIUIekTP6BW9WU/Wi/VufcxHS1axc4j+wPr8AYe/mGw=</latexit>A⌫ = s 5 √ 5 3 √ 3 r 4πα k e−
5 12α2 |~
k|2α⌫
<latexit sha1_base64="oNEnwX1GMuKVhGTLOwO1tZ5j2ME=">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</latexit><latexit sha1_base64="vY5ZnjBnyBbYQc7XlO8bvuRnXdY=">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</latexit><latexit sha1_base64="vY5ZnjBnyBbYQc7XlO8bvuRnXdY=">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</latexit><latexit sha1_base64="+5XiYcght34gDiDF5jbEgWwOnI=">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</latexit>16
because the frequencies of the modes are such that . The relevant states for electromagne5c baryon couplings are those with one quantum of excita5on in .
, implies frequencies such that , so in this case the most important contribu5on is in the mode. The total analysis of electromagne5c coplings is work in progress.
qqQ
<latexit sha1_base64="NCGRv2Cyz/2TMJXOjyYcCTL/kGY=">AB6nicbZBNSwMxEIZn61etX1WPXoJF8FR2RdBj0YvHFm0tEvJptk2NJvdJrNCWfoTvHhQxKu/yJv/xrTdg7a+EHh4Z4bMvEihUHX/XYKa+sbm1vF7dLO7t7+QfnwqGXiVDPeZLGMdTughkuheBMFSt5ONKdRIPljMLqd1R+fuDYiVg84Sbgf0YESoWAUrXU/Hjd65Ypbdeciq+DlUIFc9V75q9uPWRpxhUxSYzqem6CfUY2CST4tdVPDE8pGdMA7FhWNuPGz+apTcmadPgljbZ9CMnd/T2Q0MmYSBbYzojg0y7WZ+V+tk2J47WdCJSlyxRYfhakGJPZ3aQvNGcoJxYo08LuStiQasrQplOyIXjLJ69C6LqW5cVmo3eRxFOIFTOAcPrqAGd1CHJjAYwDO8wpsjnRfn3flYtBacfOY/sj5/AFM4o3L</latexit><latexit sha1_base64="NCGRv2Cyz/2TMJXOjyYcCTL/kGY=">AB6nicbZBNSwMxEIZn61etX1WPXoJF8FR2RdBj0YvHFm0tEvJptk2NJvdJrNCWfoTvHhQxKu/yJv/xrTdg7a+EHh4Z4bMvEihUHX/XYKa+sbm1vF7dLO7t7+QfnwqGXiVDPeZLGMdTughkuheBMFSt5ONKdRIPljMLqd1R+fuDYiVg84Sbgf0YESoWAUrXU/Hjd65Ypbdeciq+DlUIFc9V75q9uPWRpxhUxSYzqem6CfUY2CST4tdVPDE8pGdMA7FhWNuPGz+apTcmadPgljbZ9CMnd/T2Q0MmYSBbYzojg0y7WZ+V+tk2J47WdCJSlyxRYfhakGJPZ3aQvNGcoJxYo08LuStiQasrQplOyIXjLJ69C6LqW5cVmo3eRxFOIFTOAcPrqAGd1CHJjAYwDO8wpsjnRfn3flYtBacfOY/sj5/AFM4o3L</latexit><latexit sha1_base64="NCGRv2Cyz/2TMJXOjyYcCTL/kGY=">AB6nicbZBNSwMxEIZn61etX1WPXoJF8FR2RdBj0YvHFm0tEvJptk2NJvdJrNCWfoTvHhQxKu/yJv/xrTdg7a+EHh4Z4bMvEihUHX/XYKa+sbm1vF7dLO7t7+QfnwqGXiVDPeZLGMdTughkuheBMFSt5ONKdRIPljMLqd1R+fuDYiVg84Sbgf0YESoWAUrXU/Hjd65Ypbdeciq+DlUIFc9V75q9uPWRpxhUxSYzqem6CfUY2CST4tdVPDE8pGdMA7FhWNuPGz+apTcmadPgljbZ9CMnd/T2Q0MmYSBbYzojg0y7WZ+V+tk2J47WdCJSlyxRYfhakGJPZ3aQvNGcoJxYo08LuStiQasrQplOyIXjLJ69C6LqW5cVmo3eRxFOIFTOAcPrqAGd1CHJjAYwDO8wpsjnRfn3flYtBacfOY/sj5/AFM4o3L</latexit><latexit sha1_base64="NCGRv2Cyz/2TMJXOjyYcCTL/kGY=">AB6nicbZBNSwMxEIZn61etX1WPXoJF8FR2RdBj0YvHFm0tEvJptk2NJvdJrNCWfoTvHhQxKu/yJv/xrTdg7a+EHh4Z4bMvEihUHX/XYKa+sbm1vF7dLO7t7+QfnwqGXiVDPeZLGMdTughkuheBMFSt5ONKdRIPljMLqd1R+fuDYiVg84Sbgf0YESoWAUrXU/Hjd65Ypbdeciq+DlUIFc9V75q9uPWRpxhUxSYzqem6CfUY2CST4tdVPDE8pGdMA7FhWNuPGz+apTcmadPgljbZ9CMnd/T2Q0MmYSBbYzojg0y7WZ+V+tk2J47WdCJSlyxRYfhakGJPZ3aQvNGcoJxYo08LuStiQasrQplOyIXjLJ69C6LqW5cVmo3eRxFOIFTOAcPrqAGd1CHJjAYwDO8wpsjnRfn3flYtBacfOY/sj5/AFM4o3L</latexit>Ξb, Σb, Ωc
<latexit sha1_base64="oWNg7/Xf9glQqbrZ0DAyODG3DS0=">ACAnicbZDLSsNAFIYnXmu9RV2Jm8EiuJCSiKDLoht3VrQXaEKYTCfp0JlJmJkIJRQ3vobF4q49Snc+TZO0y09YeBj/+cw5nzhymjSjvOt7WwuLS8slpZq65vbG5t2zu7bZVkEpMWTlgiuyFShFBWpqRrqpJIiHjHTC4dWk3nkgUtFE3OtRSnyOYkEjipE2VmDve10ahCfQu6MxRwXdcBKjAd2zak7heA8uCXUQKlmYH95/QRnAiNGVKq5zqp9nMkNcWMjKtepkiK8BDFpGdQIE6UnxcnjOGRcfowSqR5QsPC/T2RI67UiIemkyM9ULO1iflfrZfp6MLPqUgzTQSeLoyBnUCJ3nAPpUEazYygLCk5q8QD5BEWJvUqiYEd/bkeWif1l3Dt2e1xmUZRwUcgENwDFxwDhrgGjRBC2DwCJ7BK3iznqwX6936mLYuWOXMHvgj6/MHeQaWMA=</latexit><latexit sha1_base64="oWNg7/Xf9glQqbrZ0DAyODG3DS0=">ACAnicbZDLSsNAFIYnXmu9RV2Jm8EiuJCSiKDLoht3VrQXaEKYTCfp0JlJmJkIJRQ3vobF4q49Snc+TZO0y09YeBj/+cw5nzhymjSjvOt7WwuLS8slpZq65vbG5t2zu7bZVkEpMWTlgiuyFShFBWpqRrqpJIiHjHTC4dWk3nkgUtFE3OtRSnyOYkEjipE2VmDve10ahCfQu6MxRwXdcBKjAd2zak7heA8uCXUQKlmYH95/QRnAiNGVKq5zqp9nMkNcWMjKtepkiK8BDFpGdQIE6UnxcnjOGRcfowSqR5QsPC/T2RI67UiIemkyM9ULO1iflfrZfp6MLPqUgzTQSeLoyBnUCJ3nAPpUEazYygLCk5q8QD5BEWJvUqiYEd/bkeWif1l3Dt2e1xmUZRwUcgENwDFxwDhrgGjRBC2DwCJ7BK3iznqwX6936mLYuWOXMHvgj6/MHeQaWMA=</latexit><latexit sha1_base64="oWNg7/Xf9glQqbrZ0DAyODG3DS0=">ACAnicbZDLSsNAFIYnXmu9RV2Jm8EiuJCSiKDLoht3VrQXaEKYTCfp0JlJmJkIJRQ3vobF4q49Snc+TZO0y09YeBj/+cw5nzhymjSjvOt7WwuLS8slpZq65vbG5t2zu7bZVkEpMWTlgiuyFShFBWpqRrqpJIiHjHTC4dWk3nkgUtFE3OtRSnyOYkEjipE2VmDve10ahCfQu6MxRwXdcBKjAd2zak7heA8uCXUQKlmYH95/QRnAiNGVKq5zqp9nMkNcWMjKtepkiK8BDFpGdQIE6UnxcnjOGRcfowSqR5QsPC/T2RI67UiIemkyM9ULO1iflfrZfp6MLPqUgzTQSeLoyBnUCJ3nAPpUEazYygLCk5q8QD5BEWJvUqiYEd/bkeWif1l3Dt2e1xmUZRwUcgENwDFxwDhrgGjRBC2DwCJ7BK3iznqwX6936mLYuWOXMHvgj6/MHeQaWMA=</latexit><latexit sha1_base64="oWNg7/Xf9glQqbrZ0DAyODG3DS0=">ACAnicbZDLSsNAFIYnXmu9RV2Jm8EiuJCSiKDLoht3VrQXaEKYTCfp0JlJmJkIJRQ3vobF4q49Snc+TZO0y09YeBj/+cw5nzhymjSjvOt7WwuLS8slpZq65vbG5t2zu7bZVkEpMWTlgiuyFShFBWpqRrqpJIiHjHTC4dWk3nkgUtFE3OtRSnyOYkEjipE2VmDve10ahCfQu6MxRwXdcBKjAd2zak7heA8uCXUQKlmYH95/QRnAiNGVKq5zqp9nMkNcWMjKtepkiK8BDFpGdQIE6UnxcnjOGRcfowSqR5QsPC/T2RI67UiIemkyM9ULO1iflfrZfp6MLPqUgzTQSeLoyBnUCJ3nAPpUEazYygLCk5q8QD5BEWJvUqiYEd/bkeWif1l3Dt2e1xmUZRwUcgENwDFxwDhrgGjRBC2DwCJ7BK3iznqwX6936mLYuWOXMHvgj6/MHeQaWMA=</latexit>ωρ >> ωλ
<latexit sha1_base64="9CUdq/0zyNv1Czl0O1PhsE/y+AQ=">ACBXicbVC7TsMwFL0pr1JeAUYLAoSU5WwFRVsDAWiT6kNoc12mtOnFkO0hV1IWFX2FhAKGu8A1sfAg7gMJWo5k6fice69T5BwprTjfFq5peWV1bX8emFjc2t7x97dqyuRSkJrRHAhmwFWlLOY1jTnDYTSXEUcNoI+ldjv3FHpWIivtWDhHoR7sYsZARrI/n2YVtEtIv9tuwJVC7/3LiZ0MG+XRKzgRokbgzUqwcf43eAaDq2x/tjiBpRGNOFaq5TqJ9jIsNSOcDgvtVNEkz7u0pahMY6o8rLJFkN0YpQOCoU0J9Zov7uyHCk1CAKTGWEdU/Ne2PxP6+V6vDCy1icpJrGZPpQmHKkBRpHgjpMUqL5wBMJDN/RaSHJSbaBFcwIbjzKy+S+lnJNfzGpHEJU+ThAI7gFw4hwpcQxVqQOAeHuEZXqwH68l6tUbT0pw169mHP7DevgHbrZsU</latexit><latexit sha1_base64="8a56TCOWFeX8j3DRqm74FG6Z89o=">ACBXicbVC7TsMwFHV4lpZHgBEGi4LEVCUsMFUVLIxFog+pqSLHcVqrdhzZTqUq6sLCr7AwgFBXBv6AjQ+BGfeBC1HsnR8zr3XvidIGFXacT6speWV1bX13Ea+sLm1vWPv7tWVSCUmNSyYkM0AKcJoTGqakaiSIB4w0gt7V2G/0iVRUxLd6kJA2R52YRhQjbSTfPvQEJx3ke7IrYLn8c2NmQoh8u+iUnAngInFnpFg5/hy9QtfVd9+90KBU05ijRlSquU6iW5nSGqKGRnmvVSRBOEe6pCWoTHiRLWzyRZDeGKUEZCmhNrOF/d2SIKzXgankSHfVvDcW/NaqY4u2hmNk1STGE8filIGtYDjSGBIJcGaDQxBWFLzV4i7SCKsTXB5E4I7v/IiqZ+VXMNvTBqXYIocOABH4BS4BxUwDWoghrA4A48gCfwbN1bj9aLNZqWLlmzn3wB9brN9RNnI4=</latexit><latexit sha1_base64="8a56TCOWFeX8j3DRqm74FG6Z89o=">ACBXicbVC7TsMwFHV4lpZHgBEGi4LEVCUsMFUVLIxFog+pqSLHcVqrdhzZTqUq6sLCr7AwgFBXBv6AjQ+BGfeBC1HsnR8zr3XvidIGFXacT6speWV1bX13Ea+sLm1vWPv7tWVSCUmNSyYkM0AKcJoTGqakaiSIB4w0gt7V2G/0iVRUxLd6kJA2R52YRhQjbSTfPvQEJx3ke7IrYLn8c2NmQoh8u+iUnAngInFnpFg5/hy9QtfVd9+90KBU05ijRlSquU6iW5nSGqKGRnmvVSRBOEe6pCWoTHiRLWzyRZDeGKUEZCmhNrOF/d2SIKzXgankSHfVvDcW/NaqY4u2hmNk1STGE8filIGtYDjSGBIJcGaDQxBWFLzV4i7SCKsTXB5E4I7v/IiqZ+VXMNvTBqXYIocOABH4BS4BxUwDWoghrA4A48gCfwbN1bj9aLNZqWLlmzn3wB9brN9RNnI4=</latexit><latexit sha1_base64="IFqBajRW5J3h1uNQsNRu8MV58jM=">ACBXicbVDLSgMxFM3UV62vUZe6CBbBVZlxo6tSdOygn1AZxgymbQNzWNIMkIZunHjr7hxoYhb/8Gdf2PajqCtBwIn59x7k3vilFtPO/LKa2srq1vlDcrW9s7u3vu/kFby0xh0sKSdWNkSaMCtIy1DSTRVBPGakE4+up37nihNpbgz45SEHA0E7VOMjJUi9ziQnAxQFKihPX6z43ZCQmK3KpX82aAy8QvSBUaEbuZ5BInHEiDGZI657vpSbMkTIUMzKpBJkmKcIjNCA9SwXiRIf5bIsJPLVKAvtS2SMnKm/O3LEtR7z2FZyZIZ60ZuK/3m9zPQvw5yKNDNE4PlD/YxBI+E0EphQRbBhY0sQVtT+FeIhUgbG1zFhuAvrxM2uc13/Jbr9q4KuIogyNwAs6ADy5A9yAJmgBDB7AE3gBr86j8+y8Oe/z0pJT9ByCP3A+vgERTJhF</latexit>λ
<latexit sha1_base64="engOUMKQmXUTNJ7St06p7fNnNF4=">AB7nicbZC7SgNBFIbPxluMt6ilzWAQrMKujTZi0MYygrlAsoSzs7PJkNnZWZWCEvAV7CxUMTWN7G382cXApN/GHg4/PYc45QSq4Nq7RWVtfWN4qbpa3tnd298v5BUyeZoqxBE5GodoCaCS5Zw3AjWDtVDONAsFYwvJnkrQemNE/kvRmlzI+xL3nEKRprtbrClobYK1fcqjsVWQZvDpWrz9LlIwDUe+WvbpjQLGbSUIFadzw3NX6OynAq2LjUzTRLkQ6xzoWJcZM+/l03DE5sU5IokTZJw2Zur87coy1HsWBrYzRDPRiNjH/yzqZiS78nMs0M0zS2UdRJohJyGR3EnLFqBEjC0gVt7MSOkCF1NgLlewRvMWVl6F5VvUs37mV2jXMVIQjOIZT8OAcanALdWgAhSE8wQu8Oqnz7Lw57PSgjPvOYQ/cj5+AKq/kUY=</latexit><latexit sha1_base64="iMAJZ+TLydoD7OapQPXbwMIfxio=">AB7nicbZC7SgNBFIbPxltcb1FLm8EgWIVdG9OIQRvLCOYCyRJmZ2eTIbOzw8ysEJY8hI2FIhY2vom9jfg2Ti6FJv4w8PH/5zDnFBypo3nfTuFldW19Y3ipru1vbO7V9o/aOo0U4Q2SMpT1Q6xpwJ2jDMcNqWiuIk5LQVDq8neueKs1ScWdGkgYJ7gsWM4KNtVpdbksj3CuVvYo3FVoGfw7lyw/3Qr59ufVe6bMbpSRLqDCEY607vidNkGNlGOF07HYzTSUmQ9ynHYsCJ1QH+XTcMTqxToTiVNknDJq6vztynGg9SkJbmWAz0IvZxPwv62QmrgY5EzIzVJDZR3HGkUnRZHcUMUWJ4SMLmChmZ0VkgBUmxl7ItUfwF1dehuZxbd865VrVzBTEY7gGE7Bh3OowQ3UoQEhvAT/DsSOfReXFeZ6UFZ95zCH/kvP8AnE6Sug=</latexit><latexit sha1_base64="iMAJZ+TLydoD7OapQPXbwMIfxio=">AB7nicbZC7SgNBFIbPxltcb1FLm8EgWIVdG9OIQRvLCOYCyRJmZ2eTIbOzw8ysEJY8hI2FIhY2vom9jfg2Ti6FJv4w8PH/5zDnFBypo3nfTuFldW19Y3ipru1vbO7V9o/aOo0U4Q2SMpT1Q6xpwJ2jDMcNqWiuIk5LQVDq8neueKs1ScWdGkgYJ7gsWM4KNtVpdbksj3CuVvYo3FVoGfw7lyw/3Qr59ufVe6bMbpSRLqDCEY607vidNkGNlGOF07HYzTSUmQ9ynHYsCJ1QH+XTcMTqxToTiVNknDJq6vztynGg9SkJbmWAz0IvZxPwv62QmrgY5EzIzVJDZR3HGkUnRZHcUMUWJ4SMLmChmZ0VkgBUmxl7ItUfwF1dehuZxbd865VrVzBTEY7gGE7Bh3OowQ3UoQEhvAT/DsSOfReXFeZ6UFZ95zCH/kvP8AnE6Sug=</latexit><latexit sha1_base64="6ObE19eXP+7Ue0QDT+3g5WUAFCY=">AB7nicbVBNS8NAFHypX7V+VT16WSyCp5J40WPRi8cKpi20obxsNu3SzSbsboQS+iO8eFDEq7/Hm/GbZuDtg4sDPz2PcmzATXxnW/ncrG5tb2TnW3trd/cHhUPz7p6DRXlPk0FanqhaiZ4JL5hvBeplimISCdcPJ3dzvPjGleSofzTRjQYIjyWNO0VipOxA2GuGw3nCb7gJknXglaUCJ9rD+NYhSmidMGipQ67nZiYoUBlOBZvVBrlmGdIJjljfUokJ0GxWHdGLqwSkThV9klDFurviQITradJaJMJmrFe9ebif14/N/FNUHCZ5YZJuvwozgUxKZnfTiKuGDViaglSxe2uhI5RITW2oZotwVs9eZ10rpqe5Q9uo3Vb1lGFMziHS/DgGlpwD23wgcIEnuEV3pzMeXHenY9ltOKUM6fwB87nDzuHj3k=</latexit>QQq
<latexit sha1_base64="1ACSNVcV/LjX3bnvbAbJzgVLG4=">AB6nicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxRfsBbSib7aZdutnE3YlQn+CFw+KePUXefPfuG1z0NYXFh7emWFn3iCRwqDrfjuFtfWNza3idmlnd2/oHx41DJxqhlvsljGuhNQw6VQvIkCJe8kmtMokLwdjG9n9fYT10bE6gEnCfcjOlQiFIyite4bjcd+ueJW3bnIKng5VCBXvV/+6g1ilkZcIZPUmK7nJuhnVKNgk9LvdTwhLIxHfKuRUjbvxsvuqUnFlnQMJY26eQzN3fExmNjJlEge2MKI7Mcm1m/lfrphe+5lQSYpcscVHYSoJxmR2NxkIzRnKiQXKtLC7EjaimjK06ZRsCN7yavQuqh6lhuXldpNHkcRTuAUzsGDK6jBHdShCQyG8Ayv8OZI58V5dz4WrQUnzmGP3I+fwAcAo2r</latexit><latexit sha1_base64="1ACSNVcV/LjX3bnvbAbJzgVLG4=">AB6nicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxRfsBbSib7aZdutnE3YlQn+CFw+KePUXefPfuG1z0NYXFh7emWFn3iCRwqDrfjuFtfWNza3idmlnd2/oHx41DJxqhlvsljGuhNQw6VQvIkCJe8kmtMokLwdjG9n9fYT10bE6gEnCfcjOlQiFIyite4bjcd+ueJW3bnIKng5VCBXvV/+6g1ilkZcIZPUmK7nJuhnVKNgk9LvdTwhLIxHfKuRUjbvxsvuqUnFlnQMJY26eQzN3fExmNjJlEge2MKI7Mcm1m/lfrphe+5lQSYpcscVHYSoJxmR2NxkIzRnKiQXKtLC7EjaimjK06ZRsCN7yavQuqh6lhuXldpNHkcRTuAUzsGDK6jBHdShCQyG8Ayv8OZI58V5dz4WrQUnzmGP3I+fwAcAo2r</latexit><latexit sha1_base64="1ACSNVcV/LjX3bnvbAbJzgVLG4=">AB6nicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxRfsBbSib7aZdutnE3YlQn+CFw+KePUXefPfuG1z0NYXFh7emWFn3iCRwqDrfjuFtfWNza3idmlnd2/oHx41DJxqhlvsljGuhNQw6VQvIkCJe8kmtMokLwdjG9n9fYT10bE6gEnCfcjOlQiFIyite4bjcd+ueJW3bnIKng5VCBXvV/+6g1ilkZcIZPUmK7nJuhnVKNgk9LvdTwhLIxHfKuRUjbvxsvuqUnFlnQMJY26eQzN3fExmNjJlEge2MKI7Mcm1m/lfrphe+5lQSYpcscVHYSoJxmR2NxkIzRnKiQXKtLC7EjaimjK06ZRsCN7yavQuqh6lhuXldpNHkcRTuAUzsGDK6jBHdShCQyG8Ayv8OZI58V5dz4WrQUnzmGP3I+fwAcAo2r</latexit><latexit sha1_base64="1ACSNVcV/LjX3bnvbAbJzgVLG4=">AB6nicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxRfsBbSib7aZdutnE3YlQn+CFw+KePUXefPfuG1z0NYXFh7emWFn3iCRwqDrfjuFtfWNza3idmlnd2/oHx41DJxqhlvsljGuhNQw6VQvIkCJe8kmtMokLwdjG9n9fYT10bE6gEnCfcjOlQiFIyite4bjcd+ueJW3bnIKng5VCBXvV/+6g1ilkZcIZPUmK7nJuhnVKNgk9LvdTwhLIxHfKuRUjbvxsvuqUnFlnQMJY26eQzN3fExmNjJlEge2MKI7Mcm1m/lfrphe+5lQSYpcscVHYSoJxmR2NxkIzRnKiQXKtLC7EjaimjK06ZRsCN7yavQuqh6lhuXldpNHkcRTuAUzsGDK6jBHdShCQyG8Ayv8OZI58V5dz4WrQUnzmGP3I+fwAcAo2r</latexit>Ξcc
<latexit sha1_base64="7OrNUyB5V65xI1fIZwyDp3jVs=">AB73icbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxgm0DbSib7aRdutnE3Y1Qv+EFw+KePXvePfuG1z0NYXFh7emWFn3jAVXBvX/XZKa+sbm1vl7crO7t7+QfXwqK2TDFsUQkyg+pRsEltgw3Av1UIY1DgZ1wfDurd5QaZ7IBzNJMYjpUPKIM2qs5fd83s8Zm/arNbfuzkVWwSugBoWa/epXb5CwLEZpmKBadz03NUFOleFM4LTSyzSmlI3pELsWJY1RB/l83yk5s86ARImyTxoyd39P5DTWehKHtjOmZqSXazPzv1o3M9F1kHOZgYlW3wUZYKYhMyOJwOukBkxsUCZ4nZXwkZUWZsRBUbgrd8iq0L+qe5fvLWuOmiKMJ3AK5+DBFTgDprQAgYCnuEV3pxH58V5dz4WrSWnmDmGP3I+fwAhupAE</latexit><latexit sha1_base64="7OrNUyB5V65xI1fIZwyDp3jVs=">AB73icbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxgm0DbSib7aRdutnE3Y1Qv+EFw+KePXvePfuG1z0NYXFh7emWFn3jAVXBvX/XZKa+sbm1vl7crO7t7+QfXwqK2TDFsUQkyg+pRsEltgw3Av1UIY1DgZ1wfDurd5QaZ7IBzNJMYjpUPKIM2qs5fd83s8Zm/arNbfuzkVWwSugBoWa/epXb5CwLEZpmKBadz03NUFOleFM4LTSyzSmlI3pELsWJY1RB/l83yk5s86ARImyTxoyd39P5DTWehKHtjOmZqSXazPzv1o3M9F1kHOZgYlW3wUZYKYhMyOJwOukBkxsUCZ4nZXwkZUWZsRBUbgrd8iq0L+qe5fvLWuOmiKMJ3AK5+DBFTgDprQAgYCnuEV3pxH58V5dz4WrSWnmDmGP3I+fwAhupAE</latexit><latexit sha1_base64="7OrNUyB5V65xI1fIZwyDp3jVs=">AB73icbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxgm0DbSib7aRdutnE3Y1Qv+EFw+KePXvePfuG1z0NYXFh7emWFn3jAVXBvX/XZKa+sbm1vl7crO7t7+QfXwqK2TDFsUQkyg+pRsEltgw3Av1UIY1DgZ1wfDurd5QaZ7IBzNJMYjpUPKIM2qs5fd83s8Zm/arNbfuzkVWwSugBoWa/epXb5CwLEZpmKBadz03NUFOleFM4LTSyzSmlI3pELsWJY1RB/l83yk5s86ARImyTxoyd39P5DTWehKHtjOmZqSXazPzv1o3M9F1kHOZgYlW3wUZYKYhMyOJwOukBkxsUCZ4nZXwkZUWZsRBUbgrd8iq0L+qe5fvLWuOmiKMJ3AK5+DBFTgDprQAgYCnuEV3pxH58V5dz4WrSWnmDmGP3I+fwAhupAE</latexit><latexit sha1_base64="7OrNUyB5V65xI1fIZwyDp3jVs=">AB73icbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxgm0DbSib7aRdutnE3Y1Qv+EFw+KePXvePfuG1z0NYXFh7emWFn3jAVXBvX/XZKa+sbm1vl7crO7t7+QfXwqK2TDFsUQkyg+pRsEltgw3Av1UIY1DgZ1wfDurd5QaZ7IBzNJMYjpUPKIM2qs5fd83s8Zm/arNbfuzkVWwSugBoWa/epXb5CwLEZpmKBadz03NUFOleFM4LTSyzSmlI3pELsWJY1RB/l83yk5s86ARImyTxoyd39P5DTWehKHtjOmZqSXazPzv1o3M9F1kHOZgYlW3wUZYKYhMyOJwOukBkxsUCZ4nZXwkZUWZsRBUbgrd8iq0L+qe5fvLWuOmiKMJ3AK5+DBFTgDprQAgYCnuEV3pxH58V5dz4WrSWnmDmGP3I+fwAhupAE</latexit>ωλ > ωρ
<latexit sha1_base64="YS5YMvDVvP1flWyI1vG24RoeJAk=">ACA3icbVBLSwMxGMzWV62vVW96CRbBU9kVQU9S9OKxgn1AuyzZbLYNzWNJskJZCl78K148KOLVP+HNf2ParqCtA4HJzDck30Qpo9p43pdTWlpeWV0r1c2Nre2d9zdvZaWmcKkiSWTqhMhTRgVpGmoYaSTKoJ4xEg7Gl5P/PY9UZpKcWdGKQk46guaUIyMlUL3oCc56aOwx2wmRpc/VzWQoVv1at4UcJH4BamCAo3Q/ezFEmecCIMZ0re6kJcqQMxYyMK71MkxThIeqTrqUCcaKDfLrDGB5bJYaJVPYIA6fq70SOuNYjHtlJjsxAz3sT8T+vm5nkIsipSDNDBJ49lGQMGgknhcCYKoING1mCsKL2rxAPkELY2NoqtgR/fuVF0jqt+ZbfnlXrV0UdZXAIjsAJ8ME5qIMb0ABNgMEDeAIv4NV5dJ6dN+d9Nlpyisw+APn4xsqUJfX</latexit><latexit sha1_base64="YS5YMvDVvP1flWyI1vG24RoeJAk=">ACA3icbVBLSwMxGMzWV62vVW96CRbBU9kVQU9S9OKxgn1AuyzZbLYNzWNJskJZCl78K148KOLVP+HNf2ParqCtA4HJzDck30Qpo9p43pdTWlpeWV0r1c2Nre2d9zdvZaWmcKkiSWTqhMhTRgVpGmoYaSTKoJ4xEg7Gl5P/PY9UZpKcWdGKQk46guaUIyMlUL3oCc56aOwx2wmRpc/VzWQoVv1at4UcJH4BamCAo3Q/ezFEmecCIMZ0re6kJcqQMxYyMK71MkxThIeqTrqUCcaKDfLrDGB5bJYaJVPYIA6fq70SOuNYjHtlJjsxAz3sT8T+vm5nkIsipSDNDBJ49lGQMGgknhcCYKoING1mCsKL2rxAPkELY2NoqtgR/fuVF0jqt+ZbfnlXrV0UdZXAIjsAJ8ME5qIMb0ABNgMEDeAIv4NV5dJ6dN+d9Nlpyisw+APn4xsqUJfX</latexit><latexit sha1_base64="YS5YMvDVvP1flWyI1vG24RoeJAk=">ACA3icbVBLSwMxGMzWV62vVW96CRbBU9kVQU9S9OKxgn1AuyzZbLYNzWNJskJZCl78K148KOLVP+HNf2ParqCtA4HJzDck30Qpo9p43pdTWlpeWV0r1c2Nre2d9zdvZaWmcKkiSWTqhMhTRgVpGmoYaSTKoJ4xEg7Gl5P/PY9UZpKcWdGKQk46guaUIyMlUL3oCc56aOwx2wmRpc/VzWQoVv1at4UcJH4BamCAo3Q/ezFEmecCIMZ0re6kJcqQMxYyMK71MkxThIeqTrqUCcaKDfLrDGB5bJYaJVPYIA6fq70SOuNYjHtlJjsxAz3sT8T+vm5nkIsipSDNDBJ49lGQMGgknhcCYKoING1mCsKL2rxAPkELY2NoqtgR/fuVF0jqt+ZbfnlXrV0UdZXAIjsAJ8ME5qIMb0ABNgMEDeAIv4NV5dJ6dN+d9Nlpyisw+APn4xsqUJfX</latexit><latexit sha1_base64="YS5YMvDVvP1flWyI1vG24RoeJAk=">ACA3icbVBLSwMxGMzWV62vVW96CRbBU9kVQU9S9OKxgn1AuyzZbLYNzWNJskJZCl78K148KOLVP+HNf2ParqCtA4HJzDck30Qpo9p43pdTWlpeWV0r1c2Nre2d9zdvZaWmcKkiSWTqhMhTRgVpGmoYaSTKoJ4xEg7Gl5P/PY9UZpKcWdGKQk46guaUIyMlUL3oCc56aOwx2wmRpc/VzWQoVv1at4UcJH4BamCAo3Q/ezFEmecCIMZ0re6kJcqQMxYyMK71MkxThIeqTrqUCcaKDfLrDGB5bJYaJVPYIA6fq70SOuNYjHtlJjsxAz3sT8T+vm5nkIsipSDNDBJ49lGQMGgknhcCYKoING1mCsKL2rxAPkELY2NoqtgR/fuVF0jqt+ZbfnlXrV0UdZXAIjsAJ8ME5qIMb0ABNgMEDeAIv4NV5dJ6dN+d9Nlpyisw+APn4xsqUJfX</latexit>ρ
<latexit sha1_base64="yXjtFj01ayGEtbxyWlOC8kSd3g=">AB63icbZDLSsNAFIZP6q3W9Wlm8EiuCqJCLosunFZwdZCG8pkOmGziXMTIQS+gpuXCji1hdy59s4abPQ1h8GPv5zDnPOH6WcGev7315lbX1jc6u6XdvZ3ds/qB8edY3KNKEdorjSvQgbypmkHcsp71UywiTh+jyW1Rf3yi2jAlH+w0paHAY8liRrAtrIFO1LDe8Jv+XGgVghIaUKo9rH8NRopkgkpLODamH/ipDXOsLSOczmqDzNAUkwke075DiQU1YT7fdYbOnDNCsdLuSYvm7u+JHAtjpiJynQLbxCzXCvO/Wj+z8XWYM5lmlkqy+CjOLIKFYejEdOUWD51gIlmbldEqwxsS6emgshWD5FboXzcDx/WjdVPGUYUTOIVzCOAKWnAHbegAgQSe4RXePOG9eO/ex6K14pUzx/BH3ucPH6ORw=</latexit><latexit sha1_base64="yXjtFj01ayGEtbxyWlOC8kSd3g=">AB63icbZDLSsNAFIZP6q3W9Wlm8EiuCqJCLosunFZwdZCG8pkOmGziXMTIQS+gpuXCji1hdy59s4abPQ1h8GPv5zDnPOH6WcGev7315lbX1jc6u6XdvZ3ds/qB8edY3KNKEdorjSvQgbypmkHcsp71UywiTh+jyW1Rf3yi2jAlH+w0paHAY8liRrAtrIFO1LDe8Jv+XGgVghIaUKo9rH8NRopkgkpLODamH/ipDXOsLSOczmqDzNAUkwke075DiQU1YT7fdYbOnDNCsdLuSYvm7u+JHAtjpiJynQLbxCzXCvO/Wj+z8XWYM5lmlkqy+CjOLIKFYejEdOUWD51gIlmbldEqwxsS6emgshWD5FboXzcDx/WjdVPGUYUTOIVzCOAKWnAHbegAgQSe4RXePOG9eO/ex6K14pUzx/BH3ucPH6ORw=</latexit><latexit sha1_base64="yXjtFj01ayGEtbxyWlOC8kSd3g=">AB63icbZDLSsNAFIZP6q3W9Wlm8EiuCqJCLosunFZwdZCG8pkOmGziXMTIQS+gpuXCji1hdy59s4abPQ1h8GPv5zDnPOH6WcGev7315lbX1jc6u6XdvZ3ds/qB8edY3KNKEdorjSvQgbypmkHcsp71UywiTh+jyW1Rf3yi2jAlH+w0paHAY8liRrAtrIFO1LDe8Jv+XGgVghIaUKo9rH8NRopkgkpLODamH/ipDXOsLSOczmqDzNAUkwke075DiQU1YT7fdYbOnDNCsdLuSYvm7u+JHAtjpiJynQLbxCzXCvO/Wj+z8XWYM5lmlkqy+CjOLIKFYejEdOUWD51gIlmbldEqwxsS6emgshWD5FboXzcDx/WjdVPGUYUTOIVzCOAKWnAHbegAgQSe4RXePOG9eO/ex6K14pUzx/BH3ucPH6ORw=</latexit><latexit sha1_base64="yXjtFj01ayGEtbxyWlOC8kSd3g=">AB63icbZDLSsNAFIZP6q3W9Wlm8EiuCqJCLosunFZwdZCG8pkOmGziXMTIQS+gpuXCji1hdy59s4abPQ1h8GPv5zDnPOH6WcGev7315lbX1jc6u6XdvZ3ds/qB8edY3KNKEdorjSvQgbypmkHcsp71UywiTh+jyW1Rf3yi2jAlH+w0paHAY8liRrAtrIFO1LDe8Jv+XGgVghIaUKo9rH8NRopkgkpLODamH/ipDXOsLSOczmqDzNAUkwke075DiQU1YT7fdYbOnDNCsdLuSYvm7u+JHAtjpiJynQLbxCzXCvO/Wj+z8XWYM5lmlkqy+CjOLIKFYejEdOUWD51gIlmbldEqwxsS6emgshWD5FboXzcDx/WjdVPGUYUTOIVzCOAKWnAHbegAgQSe4RXePOG9eO/ex6K14pUzx/BH3ucPH6ORw=</latexit>HEAVY BARYONS PENTAQUARKS
can not be excited in photoproduc5on.
photoproduc5on experiments .
there is a very large suppression factor to the photo coupling due to the orbital part.
Pc(uudc¯ c) → p + γ
<latexit sha1_base64="IwVW9Oi3MtCgOHVNH40ph9RqGs=">ACB3icbVC7SgNBFL3rM8ZX1FKQIUGIBMKujZBG8sI5gHZEO5OJsmQmd1lZlYISzob/8LaxkIRW3/Bzr9x8ig08cDA4Zx7uXNOEAujet+Oyura+sbm5mt7PbO7t5+7uCwrqNEUVajkYhUM0DNBA9ZzXAjWDNWDGUgWCMYXk/8xj1TmkfhnRnFrC2xH/Iep2is1MmdVDu0mCRd6geoUjo+801EYlIifh+lxE6u4JbdKcgy8eakUMn7pScAqHZyX343olkoaECtW5bmzaKSrDqWDjrJ9oFiMdYp+1LA1RMt1OpznG5NQqXdKLlH2hIVP190aKUuRDOykRDPQi95E/M9rJaZ32U5GCeGhXR2qJcIYrNOSiFdrhg1YmQJUsXtXwkdoEJqbHVZW4K3GHmZ1M/LnuW3to0rmCEDx5CHInhwARW4gSrUgMIDPMrvDmPzovz7nzMRlec+c4R/IHz+QOaPpn1</latexit><latexit sha1_base64="LwjBPT1IfETl2rNSUhYVKdNdEms=">ACB3icbVC7SgNBFJ2Nrxhfq5aCDAlCJB2bQM2lhGMA/ILuHuZJIMmdldZmaFZUlnY+9X2FgoYusv2OVvnDwKTwcDjnXu6cE8ScKe04Eyu3tr6xuZXfLuzs7u0f2IdHTRUlktAGiXgk2wEoylIG5pTtuxpCACTlvB6Gbqtx6oVCwK73UaU1/AIGR9RkAbqWuf1ruknCQ94gUgMzI+93SEY1zB3gCEgK5dcqrODHiVuAtSqhW9yvOklta79rfXi0giaKgJB6U6rhNrPwOpGeF0XPASRWMgIxjQjqEhCKr8bJZjM+M0sP9SJoXajxTf29kIJRKRWAmBeihWvam4n9eJ9H9Kz9jYZxoGpL5oX7Csck6LQX3mKRE89QIJKZv2IyBAlEm+oKpgR3OfIqaV5UXcPvTBvXaI48OkFVEYukQ1dIvqIEIekQv6A29W0/Wq/Vhfc5Hc9Zi5xj9gfX1A6Oom3s=</latexit><latexit sha1_base64="LwjBPT1IfETl2rNSUhYVKdNdEms=">ACB3icbVC7SgNBFJ2Nrxhfq5aCDAlCJB2bQM2lhGMA/ILuHuZJIMmdldZmaFZUlnY+9X2FgoYusv2OVvnDwKTwcDjnXu6cE8ScKe04Eyu3tr6xuZXfLuzs7u0f2IdHTRUlktAGiXgk2wEoylIG5pTtuxpCACTlvB6Gbqtx6oVCwK73UaU1/AIGR9RkAbqWuf1ruknCQ94gUgMzI+93SEY1zB3gCEgK5dcqrODHiVuAtSqhW9yvOklta79rfXi0giaKgJB6U6rhNrPwOpGeF0XPASRWMgIxjQjqEhCKr8bJZjM+M0sP9SJoXajxTf29kIJRKRWAmBeihWvam4n9eJ9H9Kz9jYZxoGpL5oX7Csck6LQX3mKRE89QIJKZv2IyBAlEm+oKpgR3OfIqaV5UXcPvTBvXaI48OkFVEYukQ1dIvqIEIekQv6A29W0/Wq/Vhfc5Hc9Zi5xj9gfX1A6Oom3s=</latexit><latexit sha1_base64="bKfwaBgAJs4Or8/Fv6y347bKDPw=">ACB3icbVDLSsNAFJ3UV62vqEtBotQEUriRpdFNy4r2Ac0IdxMpu3QmSTMTIQSunPjr7hxoYhbf8Gdf+O0zUJbDwczrmXO+eEKWdKO863VpZXVvfKG9WtrZ3dvfs/YO2SjJaIskPJHdEBTlLKYtzTSn3VRSECGnXB0M/U7D1QqlsT3epxSX8AgZn1GQBspsI+bAalWUS8EGROJmeTnCKz7E3ACEgsKtO3ZkBLxO3IFVUoBnYX16UkEzQWBMOSvVcJ9V+DlIzwumk4mWKpkBGMKA9Q2MQVPn5LMcEnxolwv1EmhdrPFN/b+QglBqL0EwK0EO16E3F/7xepvtXfs7iNM0JvND/Yxjk3VaCo6YpETzsSFAJDN/xWQIEog21VMCe5i5GXSvqi7ht851cZ1UcZHaETVEMukQNdIuaqIUIekTP6BW9WU/Wi/VufcxHS1axc4j+wPr8AYe/mGw=</latexit>17
ELECTROMAGNETIC COUPLINGS OF HEAVY BARYONS AND PENTAQUARKS
Emmanuel Or?z-Pacheco
The Hamiltonian responsible for electromagne5c couplings is given by [5]
18
H = e Z d3xJµ
em(~
x)Aµ(~ x)
<latexit sha1_base64="YHzV2GIcokc/bA2Z7a3ZQe9dYI=">ACGHicbVDLSsQwFE19O75GXboJDsK4GVsVdCP42IgrBUcHprWk6R0Nk6QlScWhzGe48VfcuFDErTv/xnSsoKMHAifn3Mu90QpZ9q47oczMjo2PjE5NV2ZmZ2bX6guLl3oJFMUmjThiWpFRANnEpqGQ6tVAEREYfLqHtU+Je3oDRL5LnpRAIci1Zh1FirBRWN473wGfS4Phq6w6fXPkiC3MQ/bp/CxTfreOD0Er4+1sJqzW34Q6A/xKvJDVU4jSsvtxQjMB0lBOtG57bmqCnCjDKId+xc80pIR2yTW0LZVEgA7ywWF9vGaVGHcSZ/dcaD+7MiJ0LonIlspiLnRw14h/ue1M9PZDXIm08yApF+DOhnHJsFSjhmCqjhPUsIVczuiukNUYQam2URgjd8l9ysdnwLD/bru0flnFMoRW0iurIQztoHx2jU9REFN2jR/SMXpwH58l5d6+SkecsmcZ/YLz/gk/+Z38</latexit><latexit sha1_base64="YHzV2GIcokc/bA2Z7a3ZQe9dYI=">ACGHicbVDLSsQwFE19O75GXboJDsK4GVsVdCP42IgrBUcHprWk6R0Nk6QlScWhzGe48VfcuFDErTv/xnSsoKMHAifn3Mu90QpZ9q47oczMjo2PjE5NV2ZmZ2bX6guLl3oJFMUmjThiWpFRANnEpqGQ6tVAEREYfLqHtU+Je3oDRL5LnpRAIci1Zh1FirBRWN473wGfS4Phq6w6fXPkiC3MQ/bp/CxTfreOD0Er4+1sJqzW34Q6A/xKvJDVU4jSsvtxQjMB0lBOtG57bmqCnCjDKId+xc80pIR2yTW0LZVEgA7ywWF9vGaVGHcSZ/dcaD+7MiJ0LonIlspiLnRw14h/ue1M9PZDXIm08yApF+DOhnHJsFSjhmCqjhPUsIVczuiukNUYQam2URgjd8l9ysdnwLD/bru0flnFMoRW0iurIQztoHx2jU9REFN2jR/SMXpwH58l5d6+SkecsmcZ/YLz/gk/+Z38</latexit><latexit sha1_base64="YHzV2GIcokc/bA2Z7a3ZQe9dYI=">ACGHicbVDLSsQwFE19O75GXboJDsK4GVsVdCP42IgrBUcHprWk6R0Nk6QlScWhzGe48VfcuFDErTv/xnSsoKMHAifn3Mu90QpZ9q47oczMjo2PjE5NV2ZmZ2bX6guLl3oJFMUmjThiWpFRANnEpqGQ6tVAEREYfLqHtU+Je3oDRL5LnpRAIci1Zh1FirBRWN473wGfS4Phq6w6fXPkiC3MQ/bp/CxTfreOD0Er4+1sJqzW34Q6A/xKvJDVU4jSsvtxQjMB0lBOtG57bmqCnCjDKId+xc80pIR2yTW0LZVEgA7ywWF9vGaVGHcSZ/dcaD+7MiJ0LonIlspiLnRw14h/ue1M9PZDXIm08yApF+DOhnHJsFSjhmCqjhPUsIVczuiukNUYQam2URgjd8l9ysdnwLD/bru0flnFMoRW0iurIQztoHx2jU9REFN2jR/SMXpwH58l5d6+SkecsmcZ/YLz/gk/+Z38</latexit><latexit sha1_base64="YHzV2GIcokc/bA2Z7a3ZQe9dYI=">ACGHicbVDLSsQwFE19O75GXboJDsK4GVsVdCP42IgrBUcHprWk6R0Nk6QlScWhzGe48VfcuFDErTv/xnSsoKMHAifn3Mu90QpZ9q47oczMjo2PjE5NV2ZmZ2bX6guLl3oJFMUmjThiWpFRANnEpqGQ6tVAEREYfLqHtU+Je3oDRL5LnpRAIci1Zh1FirBRWN473wGfS4Phq6w6fXPkiC3MQ/bp/CxTfreOD0Er4+1sJqzW34Q6A/xKvJDVU4jSsvtxQjMB0lBOtG57bmqCnCjDKId+xc80pIR2yTW0LZVEgA7ywWF9vGaVGHcSZ/dcaD+7MiJ0LonIlspiLnRw14h/ue1M9PZDXIm08yApF+DOhnHJsFSjhmCqjhPUsIVczuiukNUYQam2URgjd8l9ysdnwLD/bru0flnFMoRW0iurIQztoHx2jU9REFN2jR/SMXpwH58l5d6+SkecsmcZ/YLz/gk/+Z38</latexit>[5] A. Le Yaouanc, L. Oliver, O. Pene, and J. C. Raynal, Hadron Transi5ons in the Quark Model (Gordon and Breach, NY, USA, 1988). [6] R. Bijker, F. Iachello, and A. Leviatan, Annals of Physics 284, 89 (2000) .
Helicity Amplitudes B → B0 + γ
<latexit sha1_base64="Kf30SGqby8HwI8YLIoD9A3AkVZg=">ACAXicbZDLSsNAFIYn9VbrLepGcDNYREoiQi6LHXjsoK9QFPKyXSDp1JwsxEKaFufBU3LhRx61u482ctlo6w8DH/85hzPn9xPOlHacb6uwtLyulZcL21sbm3v2Lt7TRWnktAGiXks2z4oylEG5pTtuJpCB8Tlv+8HpSb91TqVgc3elRQrsCwogFjIA2Vs8+KNU8ycKBinjB1w7OcNeCEJAzy47FWcqvAhuDmWUq96zv7x+TFJBI04KNVxnUR3M5CaEU7HJS9VNAEyhJB2DEYgqOpm0wvG+Ng4fRzE0rxI46n7eyIDodRI+KZTgB6o+drE/K/WSXVw1c1YlKSaRmS2KEg51jGexIH7TFKi+cgAEMnMXzEZgASiTWglE4I7f/IiNM8ruHbi3K1lsdRIfoCJ0iF12iKrpBdRABD2iZ/SK3qwn68V6tz5mrQUrn9lHf2R9/gCv45W/</latexit><latexit sha1_base64="Kf30SGqby8HwI8YLIoD9A3AkVZg=">ACAXicbZDLSsNAFIYn9VbrLepGcDNYREoiQi6LHXjsoK9QFPKyXSDp1JwsxEKaFufBU3LhRx61u482ctlo6w8DH/85hzPn9xPOlHacb6uwtLyulZcL21sbm3v2Lt7TRWnktAGiXks2z4oylEG5pTtuJpCB8Tlv+8HpSb91TqVgc3elRQrsCwogFjIA2Vs8+KNU8ycKBinjB1w7OcNeCEJAzy47FWcqvAhuDmWUq96zv7x+TFJBI04KNVxnUR3M5CaEU7HJS9VNAEyhJB2DEYgqOpm0wvG+Ng4fRzE0rxI46n7eyIDodRI+KZTgB6o+drE/K/WSXVw1c1YlKSaRmS2KEg51jGexIH7TFKi+cgAEMnMXzEZgASiTWglE4I7f/IiNM8ruHbi3K1lsdRIfoCJ0iF12iKrpBdRABD2iZ/SK3qwn68V6tz5mrQUrn9lHf2R9/gCv45W/</latexit><latexit sha1_base64="Kf30SGqby8HwI8YLIoD9A3AkVZg=">ACAXicbZDLSsNAFIYn9VbrLepGcDNYREoiQi6LHXjsoK9QFPKyXSDp1JwsxEKaFufBU3LhRx61u482ctlo6w8DH/85hzPn9xPOlHacb6uwtLyulZcL21sbm3v2Lt7TRWnktAGiXks2z4oylEG5pTtuJpCB8Tlv+8HpSb91TqVgc3elRQrsCwogFjIA2Vs8+KNU8ycKBinjB1w7OcNeCEJAzy47FWcqvAhuDmWUq96zv7x+TFJBI04KNVxnUR3M5CaEU7HJS9VNAEyhJB2DEYgqOpm0wvG+Ng4fRzE0rxI46n7eyIDodRI+KZTgB6o+drE/K/WSXVw1c1YlKSaRmS2KEg51jGexIH7TFKi+cgAEMnMXzEZgASiTWglE4I7f/IiNM8ruHbi3K1lsdRIfoCJ0iF12iKrpBdRABD2iZ/SK3qwn68V6tz5mrQUrn9lHf2R9/gCv45W/</latexit><latexit sha1_base64="Kf30SGqby8HwI8YLIoD9A3AkVZg=">ACAXicbZDLSsNAFIYn9VbrLepGcDNYREoiQi6LHXjsoK9QFPKyXSDp1JwsxEKaFufBU3LhRx61u482ctlo6w8DH/85hzPn9xPOlHacb6uwtLyulZcL21sbm3v2Lt7TRWnktAGiXks2z4oylEG5pTtuJpCB8Tlv+8HpSb91TqVgc3elRQrsCwogFjIA2Vs8+KNU8ycKBinjB1w7OcNeCEJAzy47FWcqvAhuDmWUq96zv7x+TFJBI04KNVxnUR3M5CaEU7HJS9VNAEyhJB2DEYgqOpm0wvG+Ng4fRzE0rxI46n7eyIDodRI+KZTgB6o+drE/K/WSXVw1c1YlKSaRmS2KEg51jGexIH7TFKi+cgAEMnMXzEZgASiTWglE4I7f/IiNM8ruHbi3K1lsdRIfoCJ0iF12iKrpBdRABD2iZ/SK3qwn68V6tz5mrQUrn9lHf2R9/gCv45W/</latexit>Since the final state is the base state the possible values of the helicity are The helicy amplitudes are For each J, the only values allowed are
JP = 1/2+
<latexit sha1_base64="dzivBhmdWrLsMLfSHW0DQbX8RA=">AB8HicbZDLSgMxFIbPeK31VnXpJlgEQagzRdCNUHQjrirYi7TkzbWiSGZKMUIY+hRsXirj1cdz5NqbtLT1h8DHf84h5/xBzJk2rvtLC2vrK6t5zbym1vbO7uFvf26jhJFaI1EPFLNAGvKmaQ1wynzVhRLAJOG8HwZlJvPFGlWSQfzCimvsB9yUJGsLHW412neuWdlTun3ULRLblToUXwMihCpmq38NXuRSQRVBrCsdYtz42Nn2JlGOF0nG8nmsaYDHGftixKLKj20+nCY3RsnR4KI2WfNGjq/p5IsdB6JALbKbAZ6PnaxPyv1kpMeOmnTMaJoZLMPgoTjkyEJtejHlOUGD6ygIlidldEBlhYmxGeRuCN3/yItTLJc/y/Xmxcp3FkYNDOIT8OACKnALVagBAQHP8ApvjnJenHfnY9a65GQzB/BHzucP4zWPJA=</latexit><latexit sha1_base64="dzivBhmdWrLsMLfSHW0DQbX8RA=">AB8HicbZDLSgMxFIbPeK31VnXpJlgEQagzRdCNUHQjrirYi7TkzbWiSGZKMUIY+hRsXirj1cdz5NqbtLT1h8DHf84h5/xBzJk2rvtLC2vrK6t5zbym1vbO7uFvf26jhJFaI1EPFLNAGvKmaQ1wynzVhRLAJOG8HwZlJvPFGlWSQfzCimvsB9yUJGsLHW412neuWdlTun3ULRLblToUXwMihCpmq38NXuRSQRVBrCsdYtz42Nn2JlGOF0nG8nmsaYDHGftixKLKj20+nCY3RsnR4KI2WfNGjq/p5IsdB6JALbKbAZ6PnaxPyv1kpMeOmnTMaJoZLMPgoTjkyEJtejHlOUGD6ygIlidldEBlhYmxGeRuCN3/yItTLJc/y/Xmxcp3FkYNDOIT8OACKnALVagBAQHP8ApvjnJenHfnY9a65GQzB/BHzucP4zWPJA=</latexit><latexit sha1_base64="dzivBhmdWrLsMLfSHW0DQbX8RA=">AB8HicbZDLSgMxFIbPeK31VnXpJlgEQagzRdCNUHQjrirYi7TkzbWiSGZKMUIY+hRsXirj1cdz5NqbtLT1h8DHf84h5/xBzJk2rvtLC2vrK6t5zbym1vbO7uFvf26jhJFaI1EPFLNAGvKmaQ1wynzVhRLAJOG8HwZlJvPFGlWSQfzCimvsB9yUJGsLHW412neuWdlTun3ULRLblToUXwMihCpmq38NXuRSQRVBrCsdYtz42Nn2JlGOF0nG8nmsaYDHGftixKLKj20+nCY3RsnR4KI2WfNGjq/p5IsdB6JALbKbAZ6PnaxPyv1kpMeOmnTMaJoZLMPgoTjkyEJtejHlOUGD6ygIlidldEBlhYmxGeRuCN3/yItTLJc/y/Xmxcp3FkYNDOIT8OACKnALVagBAQHP8ApvjnJenHfnY9a65GQzB/BHzucP4zWPJA=</latexit><latexit sha1_base64="dzivBhmdWrLsMLfSHW0DQbX8RA=">AB8HicbZDLSgMxFIbPeK31VnXpJlgEQagzRdCNUHQjrirYi7TkzbWiSGZKMUIY+hRsXirj1cdz5NqbtLT1h8DHf84h5/xBzJk2rvtLC2vrK6t5zbym1vbO7uFvf26jhJFaI1EPFLNAGvKmaQ1wynzVhRLAJOG8HwZlJvPFGlWSQfzCimvsB9yUJGsLHW412neuWdlTun3ULRLblToUXwMihCpmq38NXuRSQRVBrCsdYtz42Nn2JlGOF0nG8nmsaYDHGftixKLKj20+nCY3RsnR4KI2WfNGjq/p5IsdB6JALbKbAZ6PnaxPyv1kpMeOmnTMaJoZLMPgoTjkyEJtejHlOUGD6ygIlidldEBlhYmxGeRuCN3/yItTLJc/y/Xmxcp3FkYNDOIT8OACKnALVagBAQHP8ApvjnJenHfnY9a65GQzB/BHzucP4zWPJA=</latexit>ν = 1/2, 3/2.
<latexit sha1_base64="24UQarV0dmvp7Oe9CAG7cJ1tFc=">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</latexit><latexit sha1_base64="24UQarV0dmvp7Oe9CAG7cJ1tFc=">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</latexit><latexit sha1_base64="24UQarV0dmvp7Oe9CAG7cJ1tFc=">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</latexit><latexit sha1_base64="24UQarV0dmvp7Oe9CAG7cJ1tFc=">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</latexit>Aν = hψB0; 1/2, ν 1|H|ψB; J, νi, ν = 1/2, 3/2.
<latexit sha1_base64="24UQarV0dmvp7Oe9CAG7cJ1tFc=">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</latexit><latexit sha1_base64="24UQarV0dmvp7Oe9CAG7cJ1tFc=">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</latexit><latexit sha1_base64="24UQarV0dmvp7Oe9CAG7cJ1tFc=">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</latexit><latexit sha1_base64="24UQarV0dmvp7Oe9CAG7cJ1tFc=">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</latexit>J = 1/2; ν = 1/2 J 6= 1/2; ν = 1/2, 3/2
<latexit sha1_base64="ZG39smK2Lkt6JE8vUASxuviJRbE=">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</latexit><latexit sha1_base64="ZG39smK2Lkt6JE8vUASxuviJRbE=">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</latexit><latexit sha1_base64="ZG39smK2Lkt6JE8vUASxuviJRbE=">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</latexit><latexit sha1_base64="ZG39smK2Lkt6JE8vUASxuviJRbE=">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</latexit>Radia5ve decay width [6] Γ(B → B0 + γ) = 2πρ 1 (2π)3 2 2J + 1 X
ν>0
|Aν(k)|2 ,
<latexit sha1_base64="qgjOKRBM56VRKQ4PikNh9RMlZE=">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</latexit><latexit sha1_base64="qgjOKRBM56VRKQ4PikNh9RMlZE=">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</latexit><latexit sha1_base64="qgjOKRBM56VRKQ4PikNh9RMlZE=">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</latexit><latexit sha1_base64="qgjOKRBM56VRKQ4PikNh9RMlZE=">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</latexit>k = m2
B0 − m2 B
2m0
B
<latexit sha1_base64="ouzhCDqHWA1IxveqI+W3f2Ilq5o=">ACB3icbZC7TsMwFIZPyq2UW4ARCSIqBAtV0gUWpFIWxiLRi9SWyHGd1qdRLaDVEXZWHgVFgYQmy8Ahtvg9N2gJZfsvT5P+fIPr8XMSqVbX8buYXFpeWV/GphbX1jc8vc3mnIMBaY1HIQtHykCSMBqSuqGKkFQmCuMdI0xteZfXmPRGShsGtGkWky1E/oD7FSGnLNfeHFx1fIJzwu7KbVI/T0wyqaVLmr65ZtEu2WNZ8+BMoVi5/DioAEDNb86vRDHnAQKMyRl27Ej1U2QUBQzkhY6sSQRwkPUJ2NAeJEdpPxHql1pJ2e5YdCn0BZY/f3RIK4lCPu6U6O1EDO1jLzv1o7Vv5N6FBFCsS4MlDfswsFVpZKFaPCoIVG2lAWFD9VwsPkI5F6egKOgRnduV5aJRLjuYbnUYVJsrDHhzCThwBhW4hrUAcMDPMELvBqPxrPxZrxPWnPGdGYX/sj4/AGJ7Jns</latexit><latexit sha1_base64="FfZXOlYFzewhH3O7YFhFRPUFw=">ACB3icbZC7TsMwFIadcivlFmBEAosKwQJKusCVMLCWCR6kdoQOa7TWrWTyHaQqigbC6/CwgBCZegY23wWk7QMsvWfr8n3Nkn9+PGZXKsr6Nwtz8wuJScbm0srq2vmFubjVklAhM6jhikWj5SBJGQ1JXVDHSigVB3Gek6Q8u83rzjghJo/BGDWPictQLaUAxUtryzN3BeScQCKf8tuKlzmF2nIOTpRXu6Ztnlq0TayQ4C/YEytWL9z3nI5A1z/zqdCOcBIqzJCUbduKlZsioShmJCt1EklihAeoR9oaQ8SJdNPRHhk80E4XBpHQJ1Rw5P6eSBGXcsh93cmR6svpWm7+V2snKjhzUxrGiSIhHj8UJAyqCOahwC4VBCs21ICwoPqvEPeRjkXp6Eo6BHt65VloVE5szdc6DQeMVQ7YB8cARucgiq4AjVQBxjcg0fwDF6MB+PJeDXexq0FYzKzDf7I+PwBqLqbg=</latexit><latexit sha1_base64="FfZXOlYFzewhH3O7YFhFRPUFw=">ACB3icbZC7TsMwFIadcivlFmBEAosKwQJKusCVMLCWCR6kdoQOa7TWrWTyHaQqigbC6/CwgBCZegY23wWk7QMsvWfr8n3Nkn9+PGZXKsr6Nwtz8wuJScbm0srq2vmFubjVklAhM6jhikWj5SBJGQ1JXVDHSigVB3Gek6Q8u83rzjghJo/BGDWPictQLaUAxUtryzN3BeScQCKf8tuKlzmF2nIOTpRXu6Ztnlq0TayQ4C/YEytWL9z3nI5A1z/zqdCOcBIqzJCUbduKlZsioShmJCt1EklihAeoR9oaQ8SJdNPRHhk80E4XBpHQJ1Rw5P6eSBGXcsh93cmR6svpWm7+V2snKjhzUxrGiSIhHj8UJAyqCOahwC4VBCs21ICwoPqvEPeRjkXp6Eo6BHt65VloVE5szdc6DQeMVQ7YB8cARucgiq4AjVQBxjcg0fwDF6MB+PJeDXexq0FYzKzDf7I+PwBqLqbg=</latexit><latexit sha1_base64="ck8pdC+ekZH4nUmSP+ZG7r8lEyk=">AB2XicbZDNSgMxFIXv1L86Vq1rN8EiuCozbnQpuHFZwbZCO5RM5k4bmskMyR2hDH0BF25EfC93vo3pz0JbDwQ+zknIvSculLQUBN9ebWd3b/+gfugfNfzjk9Nmo2fz0gjsilzl5jnmFpXU2CVJCp8LgzyLFfbj6f0i7+gsTLXTzQrMr4WMtUCk7O6oyaraAdLMW2IVxDC9YaNb+GS7KDUJxa0dhEFBUcUNSaFw7g9LiwUXUz7GgUPNM7RtRxzi6dk7A0N+5oYkv394uKZ9bOstjdzDhN7Ga2MP/LBiWlt1EldVESarH6KC0Vo5wtdmaJNChIzRxwYaSblYkJN1yQa8Z3HYSbG29D7odOn4MoA7ncAFXEMIN3MEDdKALAhJ4hXdv4r15H6uat6tDP4I+/zBzjGijg=</latexit><latexit sha1_base64="0LyceQ9FicBuNz43bFA+y868hE=">AB/HicbZBNS8MwHMb/9XOqdWrIMEhenG0u+hFkHnxOMG9wFZLmqVbWNKWJBVG6c2LX8WLB0X8HN78NqbDr5QOCX50lI/k+QcKa043xbK6tr6xubpa3ydmVnd8/er7RVnEpCWyTmsewGWFHOItrSTHPaTSTFIuC0E4xvirzSKVicXSvJwn1B5GLGQEa2P59tH4qh9KTDLxUPezxml+XkAjz+rCNzvfrjo1Zyq0DO4cqjBX07e/+oOYpIJGmnCsVM91Eu1lWGpGOM3L/VTRBJMxHtKewQgLqrxsOkeOTowzQGEszYo0mrq/b2RYKDURgTkpsB6pxaw/8t6qQ4vYxFSapRGYPhSlHOkZFKWjAJCWaTwxgIpn5KyIjbGrRprqyKcFdHkZ2vWa/jOgRIcwjGcgQsXcA230IQWEHiCF3iDd+vZerU+ZnWtWPeDuCPrM8f1MeW5A=</latexit><latexit sha1_base64="0LyceQ9FicBuNz43bFA+y868hE=">AB/HicbZBNS8MwHMb/9XOqdWrIMEhenG0u+hFkHnxOMG9wFZLmqVbWNKWJBVG6c2LX8WLB0X8HN78NqbDr5QOCX50lI/k+QcKa043xbK6tr6xubpa3ydmVnd8/er7RVnEpCWyTmsewGWFHOItrSTHPaTSTFIuC0E4xvirzSKVicXSvJwn1B5GLGQEa2P59tH4qh9KTDLxUPezxml+XkAjz+rCNzvfrjo1Zyq0DO4cqjBX07e/+oOYpIJGmnCsVM91Eu1lWGpGOM3L/VTRBJMxHtKewQgLqrxsOkeOTowzQGEszYo0mrq/b2RYKDURgTkpsB6pxaw/8t6qQ4vYxFSapRGYPhSlHOkZFKWjAJCWaTwxgIpn5KyIjbGrRprqyKcFdHkZ2vWa/jOgRIcwjGcgQsXcA230IQWEHiCF3iDd+vZerU+ZnWtWPeDuCPrM8f1MeW5A=</latexit><latexit sha1_base64="DJTCPOclHFou9ybNwvkyj2v9pc=">ACB3icbZBNS8MwGMfT+TbnW9WjIMEhenG0u+hFGPicYJ7ga2WNEu3sCQtSqM0psXv4oXD4p49St489uYbj3o9A+BX/7P85A8/yBmVGnH+bJKS8srq2vl9crG5tb2jr271FRIjFp4hFshcgRgVpK2pZqQXS4J4wEg3mFzl9e49kYpG4lZPY+JxNBI0pBhpY/n24eRyEqEU35X9PmSXaWQzNL69w3N9+uOjVnJvgX3AKqoFDLtz8HwgnAiNGVKq7zqx9lIkNcWMZJVBokiM8ASNSN+gQJwoL53tkcFj4wxhGElzhIYz9+dEirhSUx6YTo70WC3WcvO/Wj/R4YWXUhEnmg8fyhMGNQRzEOBQyoJ1mxqAGFJzV8hHiMTizbRVUwI7uLKf6FTr7mGb5xqo1nEUQYH4AicAhecgwa4Bi3QBhg8gCfwAl6tR+vZerPe560lq5jZB79kfXwDX4iYUg=</latexit><latexit sha1_base64="DJTCPOclHFou9ybNwvkyj2v9pc=">ACB3icbZBNS8MwGMfT+TbnW9WjIMEhenG0u+hFGPicYJ7ga2WNEu3sCQtSqM0psXv4oXD4p49St489uYbj3o9A+BX/7P85A8/yBmVGnH+bJKS8srq2vl9crG5tb2jr271FRIjFp4hFshcgRgVpK2pZqQXS4J4wEg3mFzl9e49kYpG4lZPY+JxNBI0pBhpY/n24eRyEqEU35X9PmSXaWQzNL69w3N9+uOjVnJvgX3AKqoFDLtz8HwgnAiNGVKq7zqx9lIkNcWMZJVBokiM8ASNSN+gQJwoL53tkcFj4wxhGElzhIYz9+dEirhSUx6YTo70WC3WcvO/Wj/R4YWXUhEnmg8fyhMGNQRzEOBQyoJ1mxqAGFJzV8hHiMTizbRVUwI7uLKf6FTr7mGb5xqo1nEUQYH4AicAhecgwa4Bi3QBhg8gCfwAl6tR+vZerPe560lq5jZB79kfXwDX4iYUg=</latexit><latexit sha1_base64="FfZXOlYFzewhH3O7YFhFRPUFw=">ACB3icbZC7TsMwFIadcivlFmBEAosKwQJKusCVMLCWCR6kdoQOa7TWrWTyHaQqigbC6/CwgBCZegY23wWk7QMsvWfr8n3Nkn9+PGZXKsr6Nwtz8wuJScbm0srq2vmFubjVklAhM6jhikWj5SBJGQ1JXVDHSigVB3Gek6Q8u83rzjghJo/BGDWPictQLaUAxUtryzN3BeScQCKf8tuKlzmF2nIOTpRXu6Ztnlq0TayQ4C/YEytWL9z3nI5A1z/zqdCOcBIqzJCUbduKlZsioShmJCt1EklihAeoR9oaQ8SJdNPRHhk80E4XBpHQJ1Rw5P6eSBGXcsh93cmR6svpWm7+V2snKjhzUxrGiSIhHj8UJAyqCOahwC4VBCs21ICwoPqvEPeRjkXp6Eo6BHt65VloVE5szdc6DQeMVQ7YB8cARucgiq4AjVQBxjcg0fwDF6MB+PJeDXexq0FYzKzDf7I+PwBqLqbg=</latexit><latexit sha1_base64="FfZXOlYFzewhH3O7YFhFRPUFw=">ACB3icbZC7TsMwFIadcivlFmBEAosKwQJKusCVMLCWCR6kdoQOa7TWrWTyHaQqigbC6/CwgBCZegY23wWk7QMsvWfr8n3Nkn9+PGZXKsr6Nwtz8wuJScbm0srq2vmFubjVklAhM6jhikWj5SBJGQ1JXVDHSigVB3Gek6Q8u83rzjghJo/BGDWPictQLaUAxUtryzN3BeScQCKf8tuKlzmF2nIOTpRXu6Ztnlq0TayQ4C/YEytWL9z3nI5A1z/zqdCOcBIqzJCUbduKlZsioShmJCt1EklihAeoR9oaQ8SJdNPRHhk80E4XBpHQJ1Rw5P6eSBGXcsh93cmR6svpWm7+V2snKjhzUxrGiSIhHj8UJAyqCOahwC4VBCs21ICwoPqvEPeRjkXp6Eo6BHt65VloVE5szdc6DQeMVQ7YB8cARucgiq4AjVQBxjcg0fwDF6MB+PJeDXexq0FYzKzDf7I+PwBqLqbg=</latexit><latexit sha1_base64="FfZXOlYFzewhH3O7YFhFRPUFw=">ACB3icbZC7TsMwFIadcivlFmBEAosKwQJKusCVMLCWCR6kdoQOa7TWrWTyHaQqigbC6/CwgBCZegY23wWk7QMsvWfr8n3Nkn9+PGZXKsr6Nwtz8wuJScbm0srq2vmFubjVklAhM6jhikWj5SBJGQ1JXVDHSigVB3Gek6Q8u83rzjghJo/BGDWPictQLaUAxUtryzN3BeScQCKf8tuKlzmF2nIOTpRXu6Ztnlq0TayQ4C/YEytWL9z3nI5A1z/zqdCOcBIqzJCUbduKlZsioShmJCt1EklihAeoR9oaQ8SJdNPRHhk80E4XBpHQJ1Rw5P6eSBGXcsh93cmR6svpWm7+V2snKjhzUxrGiSIhHj8UJAyqCOahwC4VBCs21ICwoPqvEPeRjkXp6Eo6BHt65VloVE5szdc6DQeMVQ7YB8cARucgiq4AjVQBxjcg0fwDF6MB+PJeDXexq0FYzKzDf7I+PwBqLqbg=</latexit><latexit sha1_base64="FfZXOlYFzewhH3O7YFhFRPUFw=">ACB3icbZC7TsMwFIadcivlFmBEAosKwQJKusCVMLCWCR6kdoQOa7TWrWTyHaQqigbC6/CwgBCZegY23wWk7QMsvWfr8n3Nkn9+PGZXKsr6Nwtz8wuJScbm0srq2vmFubjVklAhM6jhikWj5SBJGQ1JXVDHSigVB3Gek6Q8u83rzjghJo/BGDWPictQLaUAxUtryzN3BeScQCKf8tuKlzmF2nIOTpRXu6Ztnlq0TayQ4C/YEytWL9z3nI5A1z/zqdCOcBIqzJCUbduKlZsioShmJCt1EklihAeoR9oaQ8SJdNPRHhk80E4XBpHQJ1Rw5P6eSBGXcsh93cmR6svpWm7+V2snKjhzUxrGiSIhHj8UJAyqCOahwC4VBCs21ICwoPqvEPeRjkXp6Eo6BHt65VloVE5szdc6DQeMVQ7YB8cARucgiq4AjVQBxjcg0fwDF6MB+PJeDXexq0FYzKzDf7I+PwBqLqbg=</latexit><latexit sha1_base64="DJTCPOclHFou9ybNwvkyj2v9pc=">ACB3icbZBNS8MwGMfT+TbnW9WjIMEhenG0u+hFGPicYJ7ga2WNEu3sCQtSqM0psXv4oXD4p49St489uYbj3o9A+BX/7P85A8/yBmVGnH+bJKS8srq2vl9crG5tb2jr271FRIjFp4hFshcgRgVpK2pZqQXS4J4wEg3mFzl9e49kYpG4lZPY+JxNBI0pBhpY/n24eRyEqEU35X9PmSXaWQzNL69w3N9+uOjVnJvgX3AKqoFDLtz8HwgnAiNGVKq7zqx9lIkNcWMZJVBokiM8ASNSN+gQJwoL53tkcFj4wxhGElzhIYz9+dEirhSUx6YTo70WC3WcvO/Wj/R4YWXUhEnmg8fyhMGNQRzEOBQyoJ1mxqAGFJzV8hHiMTizbRVUwI7uLKf6FTr7mGb5xqo1nEUQYH4AicAhecgwa4Bi3QBhg8gCfwAl6tR+vZerPe560lq5jZB79kfXwDX4iYUg=</latexit>ρ = 4π EBk2 m0
B
<latexit sha1_base64="NKczxptr4x3WT+wbARk+wPDSs=">ACHicbZC7SgNBFIbPeo3xFrW0yGAQrcJuELQRYkSwjGAukF2X2clsMmT2wsysEJYtbXwVGwtFtPQR7HwbJ5dCE38Y+PjPOZw5vxdzJpVpfhsLi0vLK6u5tfz6xubWdmFntymjRBDaIBGPRNvDknIW0oZitN2LCgOPE5b3uByVG/dUyFZFN6qYUydAPdC5jOClbcQtEW/ej8xI4Zsn2BSXrl1tDgrpKlgVs7yvJuoWSWzbHQPFhTKFUvPopVAKi7hS+7G5EkoKEiHEvZscxYOSkWihFOs7ydSBpjMsA92tEY4oBKJx0fkqFD7XSRHwn9QoXG7u+JFAdSDgNPdwZY9eVsbWT+V+skyj9zUhbGiaIhmSzyE45UhEapoC4TlCg+1ICJYPqviPSxzkPp7EYhWLMnz0OzUrY03+g0ajBRDvbhAI7BglOowjXUoQEHuAJXuDVeDSejTfjfdK6YExn9uCPjM8f1eCaCg=</latexit><latexit sha1_base64="co0hlLPBzcIJC8rItw5OL0AQm4=">ACHicbZDLSsNAFIYn9VbrLerSRQeL6KokRdCNUCOCywr2Ak0Mk+mkHTq5MDMRSsjSja/ixoUi6s5HcOfbOGm70NYfBj7+cw5nzu/FjApGN9aYWFxaXmluFpaW9/Y3NK3d1oiSjgmTRyxiHc8JAijIWlKhnpxJygwGOk7Q0v8nr7jnBo/BGjmLiBKgfUp9iJXl6mWbD6KzYzum0PY5wumla8HhbS1LA9c6zEquXjGqxlhwHswpVOrn72XrwxcNV/+yexFOAhJKzJAQXdOIpZMiLilmJCvZiSAxwkPUJ12FIQqIcNLxIRk8UE4P+hFXL5Rw7P6eSFEgxCjwVGeA5EDM1nLzv1o3kf6pk9IwTiQJ8WSRnzAoI5inAnuUEyzZSAHCnKq/QjxAKg+pstDMGdPnodWrWoqvlZpWGCiItgD+AImOAE1MEVaIAmwOAePIJn8KI9aE/aq/Y2aS1o05ld8Efa5w/0rpug</latexit><latexit sha1_base64="co0hlLPBzcIJC8rItw5OL0AQm4=">ACHicbZDLSsNAFIYn9VbrLerSRQeL6KokRdCNUCOCywr2Ak0Mk+mkHTq5MDMRSsjSja/ixoUi6s5HcOfbOGm70NYfBj7+cw5nzu/FjApGN9aYWFxaXmluFpaW9/Y3NK3d1oiSjgmTRyxiHc8JAijIWlKhnpxJygwGOk7Q0v8nr7jnBo/BGjmLiBKgfUp9iJXl6mWbD6KzYzum0PY5wumla8HhbS1LA9c6zEquXjGqxlhwHswpVOrn72XrwxcNV/+yexFOAhJKzJAQXdOIpZMiLilmJCvZiSAxwkPUJ12FIQqIcNLxIRk8UE4P+hFXL5Rw7P6eSFEgxCjwVGeA5EDM1nLzv1o3kf6pk9IwTiQJ8WSRnzAoI5inAnuUEyzZSAHCnKq/QjxAKg+pstDMGdPnodWrWoqvlZpWGCiItgD+AImOAE1MEVaIAmwOAePIJn8KI9aE/aq/Y2aS1o05ld8Efa5w/0rpug</latexit><latexit sha1_base64="+SVecwiC+48woV6fiwsfz3loN6I=">ACHicbZDLSsNAFIYn9VbrLerShYNFdFWSIuhGKBXBZQV7gSaGyXTSDp1JwsxEKCFLN76KGxeKuPUR3Pk2TtostPWHgY/nMOZ8/sxo1JZ1rdRWlpeWV0r1c2Nre2d8zdvY6MEoFJG0csEj0fScJoSNqKkZ6sSCI+4x0/fFVXu8+ECFpFN6pSUxcjoYhDShGSlueiIUXR5sQUOoFAOL32mnB8X89S7jVPsopnVq2aNRVcBLuAKijU8swvZxDhJNQYak7NtWrNwUCUxI1nFSJER6jIelrDBEn0k2nh2TwWDsDGERCv1DBqft7IkVcygn3dSdHaiTna7n5X62fqODCTWkYJ4qEeLYoSBhUEcxTgQMqCFZsogFhQfVfIR4hnYfS2eUh2PMnL0KnXrM131rVRrOIowOwBE4BTY4Bw1wA1qgDTB4BM/gFbwZT8aL8W58zFpLRjGzD/7I+PwBq3yYcA=</latexit>19
H = 2 r π k0 µ
3
X
j=1
ej ksj,−e−i~
k·~ rj + 1
2g ⇣ pj,−e−i~
k·~ rj + e−i~ k·~ rjpj,−
⌘
<latexit sha1_base64="tjk4u5j560YL2ViOBdCqvUSCkZ0=">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</latexit><latexit sha1_base64="tjk4u5j560YL2ViOBdCqvUSCkZ0=">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</latexit><latexit sha1_base64="tjk4u5j560YL2ViOBdCqvUSCkZ0=">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</latexit><latexit sha1_base64="tjk4u5j560YL2ViOBdCqvUSCkZ0=">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</latexit>spin-flip
U↵,j = hψgs|e−i~
k·~ rj|ψ↵i
<latexit sha1_base64="vUfMHMTFMmpGUkjGg821HurS9k=">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</latexit><latexit sha1_base64="DwfaTU3O9BrcruD3PtKDy2Oeib4=">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</latexit><latexit sha1_base64="DwfaTU3O9BrcruD3PtKDy2Oeib4=">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</latexit><latexit sha1_base64="JPrh13xqA2Dbju8by+32Piw8n+8=">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</latexit>T↵,j = hψgs|pj,−e−i~
k·~ rj|ψ↵i
<latexit sha1_base64="fMmSjhRNYjizwdwNEsX/a8BftS4=">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</latexit><latexit sha1_base64="xuVeUNB625z6REr/pXAY+q2wTUg=">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</latexit><latexit sha1_base64="xuVeUNB625z6REr/pXAY+q2wTUg=">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</latexit><latexit sha1_base64="Ej8AOvy2ODr5zH8goAdb+Lvfl0k=">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</latexit>Radial contribu5on of
the j-th component:
Uλ,3 = i √ 3m 2m + m0 k αλ e
2α2 λ(2m+m0)2
Uλ,1 = Uλ,2 = −i 1 2αλ √ 3m0k 2m + m0 e
k2
8α2 ρ e
8α2 λ(2m+m0)2
Uρ,1 = −Uρ,2 = −i k 2αρ e
k2
8α2 ρ e
3
8
⇣
m0k αλ(2m+m0)
⌘2
Uρ,3 =
<latexit sha1_base64="tQSR4loKvANsIJaM6nqekhxwL8s=">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</latexit><latexit sha1_base64="tQSR4loKvANsIJaM6nqekhxwL8s=">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</latexit><latexit sha1_base64="tQSR4loKvANsIJaM6nqekhxwL8s=">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</latexit><latexit sha1_base64="tQSR4loKvANsIJaM6nqekhxwL8s=">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</latexit>Tλ,3 = −im0k0 √ 6m 2m + m0 1 αλ e
3
2⇣
mk αλ(2m+m0)⌘2
Tλ,1 = Tλ,2 = imk0 √ 6 2 1 αλ m0 2m + m0 e
k2
8α2 ρ e3
8⇣
m0k αλ(2m+m0)⌘2
Tρ,1 = −Tρ,2 = imk0 1 √ 2αρ e
k2
8α2 ρ e3
8⇣
m0k αλ(2m+m0)⌘2
Tρ,3 =
<latexit sha1_base64="sbkSFmV7dC0vBIAnB1kWJYXd8fQ=">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</latexit><latexit sha1_base64="sbkSFmV7dC0vBIAnB1kWJYXd8fQ=">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</latexit><latexit sha1_base64="sbkSFmV7dC0vBIAnB1kWJYXd8fQ=">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</latexit><latexit sha1_base64="sbkSFmV7dC0vBIAnB1kWJYXd8fQ=">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</latexit>Contribu5on of spin-flavor to the probability amplitude, example:
hΣ+
b ; 1/2, ν 1/2|e1s1,−|2ρ(Σ∗+ b ); J, νi
= huub 1 p 6(#"# + "## 2 ##")|e1s1,−|uub 1 p 2("# #") "i = 1 p 3eu
<latexit sha1_base64="5PemV7DXf60jMBLPGY4kb4U/3og=">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</latexit><latexit sha1_base64="5PemV7DXf60jMBLPGY4kb4U/3og=">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</latexit><latexit sha1_base64="5PemV7DXf60jMBLPGY4kb4U/3og=">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</latexit><latexit sha1_base64="5PemV7DXf60jMBLPGY4kb4U/3og=">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</latexit>Non-rela5vis5c Hamiltonian
q
<latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit><latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit><latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit><latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit>q
<latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit><latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit><latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit><latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit>q
<latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit><latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit><latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit><latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit>B0
<latexit sha1_base64="ZDgxhIdvSkRtA8XdvPCxwF5TKQ=">AB6XicbZBNS8NAEIYn9avWr6pHL4tF9FQSEfRY6sVjFfsBbSib7aRdutmE3Y1Qv+BFw+KePUfefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXksH80kQT+iQ8lDzqix1kP9vF+uFV3LrIKXg4VyNXol796g5ilEUrDBNW67mJ8TOqDGcCp6VeqjGhbEyH2LUoaYTaz+abTsmZdQYkjJV90pC5+3sio5HWkyiwnRE1I71cm5n/1bqpCW/8jMskNSjZ4qMwFcTEZHY2GXCFzIiJBcoUt7sSNqKMmPDKdkQvOWTV6F1WfUs319VavU8jiKcwClcgAfXUIM7aEATGITwDK/w5oydF+fd+Vi0Fpx85hj+yPn8AfSljPc=</latexit><latexit sha1_base64="ZDgxhIdvSkRtA8XdvPCxwF5TKQ=">AB6XicbZBNS8NAEIYn9avWr6pHL4tF9FQSEfRY6sVjFfsBbSib7aRdutmE3Y1Qv+BFw+KePUfefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXksH80kQT+iQ8lDzqix1kP9vF+uFV3LrIKXg4VyNXol796g5ilEUrDBNW67mJ8TOqDGcCp6VeqjGhbEyH2LUoaYTaz+abTsmZdQYkjJV90pC5+3sio5HWkyiwnRE1I71cm5n/1bqpCW/8jMskNSjZ4qMwFcTEZHY2GXCFzIiJBcoUt7sSNqKMmPDKdkQvOWTV6F1WfUs319VavU8jiKcwClcgAfXUIM7aEATGITwDK/w5oydF+fd+Vi0Fpx85hj+yPn8AfSljPc=</latexit><latexit sha1_base64="ZDgxhIdvSkRtA8XdvPCxwF5TKQ=">AB6XicbZBNS8NAEIYn9avWr6pHL4tF9FQSEfRY6sVjFfsBbSib7aRdutmE3Y1Qv+BFw+KePUfefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXksH80kQT+iQ8lDzqix1kP9vF+uFV3LrIKXg4VyNXol796g5ilEUrDBNW67mJ8TOqDGcCp6VeqjGhbEyH2LUoaYTaz+abTsmZdQYkjJV90pC5+3sio5HWkyiwnRE1I71cm5n/1bqpCW/8jMskNSjZ4qMwFcTEZHY2GXCFzIiJBcoUt7sSNqKMmPDKdkQvOWTV6F1WfUs319VavU8jiKcwClcgAfXUIM7aEATGITwDK/w5oydF+fd+Vi0Fpx85hj+yPn8AfSljPc=</latexit><latexit sha1_base64="ZDgxhIdvSkRtA8XdvPCxwF5TKQ=">AB6XicbZBNS8NAEIYn9avWr6pHL4tF9FQSEfRY6sVjFfsBbSib7aRdutmE3Y1Qv+BFw+KePUfefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXksH80kQT+iQ8lDzqix1kP9vF+uFV3LrIKXg4VyNXol796g5ilEUrDBNW67mJ8TOqDGcCp6VeqjGhbEyH2LUoaYTaz+abTsmZdQYkjJV90pC5+3sio5HWkyiwnRE1I71cm5n/1bqpCW/8jMskNSjZ4qMwFcTEZHY2GXCFzIiJBcoUt7sSNqKMmPDKdkQvOWTV6F1WfUs319VavU8jiKcwClcgAfXUIM7aEATGITwDK/w5oydF+fd+Vi0Fpx85hj+yPn8AfSljPc=</latexit>B
<latexit sha1_base64="84VY/ugUIsqyCmnCBj/Y8tjyQ2E=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY6sVjC/YD2lA20m7drMJuxuhP4CLx4U8epP8ua/cdvmoK0vLDy8M8POvEiuDau+0UNja3tneKu6W9/YPDo/LxSVvHqWLYrGIVTegGgWX2DLcCOwmCmkUCOwEk7t5vfOESvNYPphpgn5ER5KHnFjrWZ9UK64VXchsg5eDhXI1RiUv/rDmKURSsME1brnuYnxM6oMZwJnpX6qMaFsQkfYsyhphNrPFovOyIV1hiSMlX3SkIX7eyKjkdbTKLCdETVjvVqbm/VeqkJb/2MyQ1KNnyozAVxMRkfjUZcoXMiKkFyhS3uxI2poyY7Mp2RC81ZPXoX1V9Sw3ryu1eh5HEc7gHC7BgxuowT0oAUMEJ7hFd6cR+fFeXc+lq0FJ585hT9yPn8AlGOMxg=</latexit><latexit sha1_base64="84VY/ugUIsqyCmnCBj/Y8tjyQ2E=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY6sVjC/YD2lA20m7drMJuxuhP4CLx4U8epP8ua/cdvmoK0vLDy8M8POvEiuDau+0UNja3tneKu6W9/YPDo/LxSVvHqWLYrGIVTegGgWX2DLcCOwmCmkUCOwEk7t5vfOESvNYPphpgn5ER5KHnFjrWZ9UK64VXchsg5eDhXI1RiUv/rDmKURSsME1brnuYnxM6oMZwJnpX6qMaFsQkfYsyhphNrPFovOyIV1hiSMlX3SkIX7eyKjkdbTKLCdETVjvVqbm/VeqkJb/2MyQ1KNnyozAVxMRkfjUZcoXMiKkFyhS3uxI2poyY7Mp2RC81ZPXoX1V9Sw3ryu1eh5HEc7gHC7BgxuowT0oAUMEJ7hFd6cR+fFeXc+lq0FJ585hT9yPn8AlGOMxg=</latexit><latexit sha1_base64="84VY/ugUIsqyCmnCBj/Y8tjyQ2E=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY6sVjC/YD2lA20m7drMJuxuhP4CLx4U8epP8ua/cdvmoK0vLDy8M8POvEiuDau+0UNja3tneKu6W9/YPDo/LxSVvHqWLYrGIVTegGgWX2DLcCOwmCmkUCOwEk7t5vfOESvNYPphpgn5ER5KHnFjrWZ9UK64VXchsg5eDhXI1RiUv/rDmKURSsME1brnuYnxM6oMZwJnpX6qMaFsQkfYsyhphNrPFovOyIV1hiSMlX3SkIX7eyKjkdbTKLCdETVjvVqbm/VeqkJb/2MyQ1KNnyozAVxMRkfjUZcoXMiKkFyhS3uxI2poyY7Mp2RC81ZPXoX1V9Sw3ryu1eh5HEc7gHC7BgxuowT0oAUMEJ7hFd6cR+fFeXc+lq0FJ585hT9yPn8AlGOMxg=</latexit><latexit sha1_base64="84VY/ugUIsqyCmnCBj/Y8tjyQ2E=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY6sVjC/YD2lA20m7drMJuxuhP4CLx4U8epP8ua/cdvmoK0vLDy8M8POvEiuDau+0UNja3tneKu6W9/YPDo/LxSVvHqWLYrGIVTegGgWX2DLcCOwmCmkUCOwEk7t5vfOESvNYPphpgn5ER5KHnFjrWZ9UK64VXchsg5eDhXI1RiUv/rDmKURSsME1brnuYnxM6oMZwJnpX6qMaFsQkfYsyhphNrPFovOyIV1hiSMlX3SkIX7eyKjkdbTKLCdETVjvVqbm/VeqkJb/2MyQ1KNnyozAVxMRkfjUZcoXMiKkFyhS3uxI2poyY7Mp2RC81ZPXoX1V9Sw3ryu1eh5HEc7gHC7BgxuowT0oAUMEJ7hFd6cR+fFeXc+lq0FJ585hT9yPn8AlGOMxg=</latexit>γ
<latexit sha1_base64="7gxsz35rV5iow5b8W6EqtQy0sk=">AB7XicbZBNSwMxEIZn61etX1WPXoJF8FR2RdBj0YvHCvYD2qXMptk2NtksSVYopf/BiwdFvPp/vPlvTNs9aOsLgYd3ZsjMG6WCG+v7315hbX1jc6u4XdrZ3ds/KB8eNY3KNGUNqoTS7QgNEzxhDcutYO1UM5SRYK1odDurt56YNlwlD3acslDiIOExp2id1ewOUErslSt+1Z+LrEKQwVy1Xvlr25f0UyxFKBxnQCP7XhBLXlVLBpqZsZliId4YB1HCYomQkn82n5Mw5fRIr7V5iydz9PTFBacxYRq5Toh2a5drM/K/WyWx8HU54kmaWJXTxUZwJYhWZnU76XDNqxdgBUs3droQOUSO1LqCSCyFYPnkVmhfVwPH9ZaV2k8dRhBM4hXMI4ApqcAd1aACFR3iGV3jzlPfivXsfi9aCl8cwx95nz+G7Y8V</latexit><latexit sha1_base64="7gxsz35rV5iow5b8W6EqtQy0sk=">AB7XicbZBNSwMxEIZn61etX1WPXoJF8FR2RdBj0YvHCvYD2qXMptk2NtksSVYopf/BiwdFvPp/vPlvTNs9aOsLgYd3ZsjMG6WCG+v7315hbX1jc6u4XdrZ3ds/KB8eNY3KNGUNqoTS7QgNEzxhDcutYO1UM5SRYK1odDurt56YNlwlD3acslDiIOExp2id1ewOUErslSt+1Z+LrEKQwVy1Xvlr25f0UyxFKBxnQCP7XhBLXlVLBpqZsZliId4YB1HCYomQkn82n5Mw5fRIr7V5iydz9PTFBacxYRq5Toh2a5drM/K/WyWx8HU54kmaWJXTxUZwJYhWZnU76XDNqxdgBUs3droQOUSO1LqCSCyFYPnkVmhfVwPH9ZaV2k8dRhBM4hXMI4ApqcAd1aACFR3iGV3jzlPfivXsfi9aCl8cwx95nz+G7Y8V</latexit><latexit sha1_base64="7gxsz35rV5iow5b8W6EqtQy0sk=">AB7XicbZBNSwMxEIZn61etX1WPXoJF8FR2RdBj0YvHCvYD2qXMptk2NtksSVYopf/BiwdFvPp/vPlvTNs9aOsLgYd3ZsjMG6WCG+v7315hbX1jc6u4XdrZ3ds/KB8eNY3KNGUNqoTS7QgNEzxhDcutYO1UM5SRYK1odDurt56YNlwlD3acslDiIOExp2id1ewOUErslSt+1Z+LrEKQwVy1Xvlr25f0UyxFKBxnQCP7XhBLXlVLBpqZsZliId4YB1HCYomQkn82n5Mw5fRIr7V5iydz9PTFBacxYRq5Toh2a5drM/K/WyWx8HU54kmaWJXTxUZwJYhWZnU76XDNqxdgBUs3droQOUSO1LqCSCyFYPnkVmhfVwPH9ZaV2k8dRhBM4hXMI4ApqcAd1aACFR3iGV3jzlPfivXsfi9aCl8cwx95nz+G7Y8V</latexit><latexit sha1_base64="7gxsz35rV5iow5b8W6EqtQy0sk=">AB7XicbZBNSwMxEIZn61etX1WPXoJF8FR2RdBj0YvHCvYD2qXMptk2NtksSVYopf/BiwdFvPp/vPlvTNs9aOsLgYd3ZsjMG6WCG+v7315hbX1jc6u4XdrZ3ds/KB8eNY3KNGUNqoTS7QgNEzxhDcutYO1UM5SRYK1odDurt56YNlwlD3acslDiIOExp2id1ewOUErslSt+1Z+LrEKQwVy1Xvlr25f0UyxFKBxnQCP7XhBLXlVLBpqZsZliId4YB1HCYomQkn82n5Mw5fRIr7V5iydz9PTFBacxYRq5Toh2a5drM/K/WyWx8HU54kmaWJXTxUZwJYhWZnU76XDNqxdgBUs3droQOUSO1LqCSCyFYPnkVmhfVwPH9ZaV2k8dRhBM4hXMI4ApqcAd1aACFR3iGV3jzlPfivXsfi9aCl8cwx95nz+G7Y8V</latexit>ν = 1/2
<latexit sha1_base64="DgHXKGtsCZHYwigqlOfGkMpuYzk=">AB7nicbZDLSgMxFIbP1Fut6pLN6FEIQ6041uhKIblxXsBTpDyaRpG5rJDMkZoQx9CDcuFNGlz+POtzG9LT1h8DHf84h5/xhIoVB1/12cmvrG5tb+e3Czu7e/kHx8Khp4lQz3mCxjHU7pIZLoXgDBUreTjSnUSh5KxzdTutR6NiNUDjhMeRHSgRF8witZq+Sq9i6q3WLZrbgzkVXwFlCulfzDwCod4tfi9macQVMkmN6XhugkFGNQom+aTgp4YnlI3ogHcsKhpxE2SzdSfk1Do90o+1fQrJzP09kdHImHEU2s6I4tAs16bmf7VOiv2rIBMqSZErNv+on0qCMZneTnpCc4ZybIEyLeyuhA2pgxtQgUbgrd8io0qxXP8r1N4wbmysMJlOAMPLiEGtxBHRrAYARP8AKvTuI8O2/O+7w15yxmjuGPnM8fQ+6QUw=</latexit><latexit sha1_base64="NE0rOIT4Gcp9PTfv5795YQNU=">AB7nicbZDLSgMxFIbPeK31VnXpJrQIglBnutGNUHTjsoK9QGcomThmaSIckIw9CHEMSFIm59Hnd9G9PLQlt/CHz85xyzh8mnGnjuhNnbX1jc2u7sFPc3ds/OCwdHbe0TBWhTSK5VJ0Qa8qZoE3DKedRFEch5y2w9HdtN5+okozKR5NltAgxgPBIkawsVbF+mNd1nrlSpu1Z0JrYK3gEq97F+8TOpZo1f69vuSpDEVhnCsdzExPkWBlGOB0X/VTBJMRHtCuRYFjqoN8tu4YnVmnjyKp7BMGzdzfEzmOtc7i0HbG2Az1cm1q/lfrpia6DnImktRQeYfRSlHRqLp7ajPFCWGZxYwUczuisgQK0yMTahoQ/CWT16FVq3qWX6wadzCXAU4hTKcgwdXUId7aEATCIzgGd7g3UmcV+fD+Zy3rjmLmRP4I+frB01Ykdk=</latexit><latexit sha1_base64="NE0rOIT4Gcp9PTfv5795YQNU=">AB7nicbZDLSgMxFIbPeK31VnXpJrQIglBnutGNUHTjsoK9QGcomThmaSIckIw9CHEMSFIm59Hnd9G9PLQlt/CHz85xyzh8mnGnjuhNnbX1jc2u7sFPc3ds/OCwdHbe0TBWhTSK5VJ0Qa8qZoE3DKedRFEch5y2w9HdtN5+okozKR5NltAgxgPBIkawsVbF+mNd1nrlSpu1Z0JrYK3gEq97F+8TOpZo1f69vuSpDEVhnCsdzExPkWBlGOB0X/VTBJMRHtCuRYFjqoN8tu4YnVmnjyKp7BMGzdzfEzmOtc7i0HbG2Az1cm1q/lfrpia6DnImktRQeYfRSlHRqLp7ajPFCWGZxYwUczuisgQK0yMTahoQ/CWT16FVq3qWX6wadzCXAU4hTKcgwdXUId7aEATCIzgGd7g3UmcV+fD+Zy3rjmLmRP4I+frB01Ykdk=</latexit><latexit sha1_base64="fo1PuU1hA83VH83aForh9X4iuA4=">AB7nicbZA9SwNBEIbn4leMX1FLm8UgWMW7NLERgjaWEcwHJEfY2+wlS/b2jt05IRz5ETYWitj6e+z8N26SKzTxhYWHd2bYmTdIpDout9OYWNza3unuFva2z84PCofn7RNnGrGWyWse4G1HApFG+hQMm7ieY0CiTvBJO7eb3zxLURsXrEacL9iI6UCAWjaK1OX6U3lVtUK64VXchsg5eDhXI1RyUv/rDmKURV8gkNabnuQn6GdUomOSzUj81PKFsQke8Z1HRiBs/W6w7IxfWGZIw1vYpJAv390RGI2OmUWA7I4pjs1qbm/VeimG134mVJIiV2z5UZhKgjGZ306GQnOGcmqBMi3sroSNqaYMbUIlG4K3evI6tGtVz/KDW2nc5nEU4QzO4RI8qEMD7qEJLWAwgWd4hTcncV6cd+dj2Vpw8plT+CPn8wcxb47K</latexit>20
|χA1i = | 1 2p5(4 """"# ("""# + ""#" + "#"" + #""") ")i |χF2ρi = | 1 p2("#"" #""") ")i |χF2λi = | 1 p6(2 ""#" "#"" #""") ")i |χF2ηi = | 1 2p3(3 """# ""#" "#"" #""") ")i
<latexit sha1_base64="2yfQ2fATqCQPvZVfzDEr4vSdqf8=">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</latexit><latexit sha1_base64="2yfQ2fATqCQPvZVfzDEr4vSdqf8=">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</latexit><latexit sha1_base64="2yfQ2fATqCQPvZVfzDEr4vSdqf8=">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</latexit><latexit sha1_base64="2yfQ2fATqCQPvZVfzDEr4vSdqf8=">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</latexit>uudc¯ c
@ @ @ @ @ @ @ @ @ @ @ s q q q q q q q q q q uudc¯ c
@ @ @ @ @ @ @ s q q q q q q q c nnnc¯ c nnsc¯ c nssc¯ c sssc¯ c nnnc¯ c nnsc¯ c nssc¯ c P ∆
c
P Σ∗
c
P Ξ∗
c
P Ω
c
P N
c
≡ Pc P Σ
c /P Λ c
P Ξ
c
<latexit sha1_base64="siJ8ZWcDdBI7IoKcArkE85LZQMQ=">AIRHiclVNb9NAEHULJG34auHIZUWDlFRJ2XViyrECDhwQFE/RByizWbjrGo7xruVFn+cVz4Adz4BVw4gBXxNhxWsdO0rJSpNl9b97Mzk48fc8WUmH8bWX12vUbpfLaeuXmrdt37m5s3juU48Bn/ICN7bF/3KeS28LlB0omx97PqdO3+ZH/ZPnMX50yn0pxu57debxrkMtVwFowqOepulD2afW8INh8IKfB51Rt3Kusm4q7gvXAtsyUHUtdQoNANXpHYU4p2pyLAJ+6eYCr2rxkYN9oY12vNm7gOhDUSLCTOD8JGy9QNb2FG60nRj2sBsGAmX3qhyqRimKDEANXEehGTvVCKiELYyjKYFABNjPEvQsART0vALJEIDc0GcUCBCMZQpkVqGYAxCQsThEsxBDz8VoFoK0ckGaxShprUKTCZ/ZfBv8E9AJbCWy1UwyBmI7uAas9TpnabU1hJqmvuUqheo2RrMxaAHyMIeiPXJsheM45LegD9n0KutkWF3Po8wjLFOa/X5GR7wFyaQ+QpT0wrebi15rpAXL1HkBX6gGS6YFpcsndo30n151XbfQBAmMU1jOhfXUWy6AJ95yAUyWxybLY6PFsRGafsKq+z32MTRfcFvRHI4z+DthOfTj9ixDzyociwKcFXjcCsToNk6v12Cv46QyT8F4hTB9oKln18yk0b0eLJ5BUNkEsazaY0Abk7OP/8V5JdOkt6G1t4BycLFQ2SGltauvZ7G1/NwZgFDkwfZlMpOwR7qhtSXwloHRAPJPcoO6EW74DpUofLbpgMwQg9gpMBGo59+LkKJadZj5A6Up45fWA6VI1kHosP52GdQA2fdkPhQhG4yaBhoGN1BjFExUNhM+Zs/AoMwXkCtiI+pTBiNUVqAIJH/lonGo7xCw3+pbe8/ScqxpD7SHWk0j2q62p73U9rUDjZU+l76XfpZ+lb+Uf5R/l/9MqKsrqc9bWaV/4DWa1veA=</latexit><latexit sha1_base64="siJ8ZWcDdBI7IoKcArkE85LZQMQ=">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</latexit><latexit sha1_base64="siJ8ZWcDdBI7IoKcArkE85LZQMQ=">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</latexit><latexit sha1_base64="siJ8ZWcDdBI7IoKcArkE85LZQMQ=">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</latexit>21 ψc
F1ρ(q4¯
q) = 1 12 [|((2gbr 2bgr rgb + grb + rbg brg)r + 3(rgr grr)b 3(rbr brr)g)¯ ri +|((2brg 2rbg gbr + bgr + grb rgb)g + 3(gbg bgg)r 3(grg rgg)b)¯ gi +|((2rgb 2grb brg + rbg + bgr gbr)b + 3(brb rbb)g 3(bgb gbb)r)¯ bi ⇤
<latexit sha1_base64="E1Y2p8z/yE5lmuGxkCWQMZHgEug=">ADgnicldLdbtMwFAfwtBkwylcHl9xEVKuaVQ1NBoILkCaQEJdDotukuqts13WtJU567CBVIe/Bc3H08Bx20l4wZLkf46PvEvdsyKVBk7HP5qNP29O3fv7d9vPXj46PGT9sHTM5OXwMWI52kOF4wakSotRlbZVFwUIGjGUnHOrj6+fNvAozK9Ve7KsQko1KrueLUYml60PhBmJBKV2KpKQBdHdWkMGpafZpWMYFXteXvLe8fEUYhWpZh93XTIHyqu4ruKkJqmY23GAo/W910skg0HCJAxAsr4E1gcmBwxkCP3jHmBdAoRsgBkbGWYZrheGmgDVMhUElFzYiOhclxkTQAgu3e2umahFqagXFTD6DXP6r4TcfFB4hSk+yg71emhRFE6XaKOosRGwMw2orwW/9DBmsTlx8kzkHc7dC5zg8Zmsz5DH0GTZKzLAx2bWJp7VRJzsqEXq28xum7c4wGq5HcDvE29DxtuN02v5JZjkvM6EtT6kx43hY2ElFwSqeirpFSiNwK1dUijFGTNhJtX6CtXBIVZmwTwHfLQN1tXdNyqaGbPKGHZm1C7MzTlX/NfcuLTzt5NK6aK0QvMNC/TwOaBu4/BTIHgNl1hoBwUfmvAFxQvmMVb28JDiG9u+XY4S6IY85ekc/Jhexz73nPvhdfzYu+Nd+J9k69kcbv5uHzaj50t/zj/zYP960Nhvbd5fw3/3R9Syxf6</latexit><latexit sha1_base64="E1Y2p8z/yE5lmuGxkCWQMZHgEug=">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</latexit><latexit sha1_base64="E1Y2p8z/yE5lmuGxkCWQMZHgEug=">ADgnicldLdbtMwFAfwtBkwylcHl9xEVKuaVQ1NBoILkCaQEJdDotukuqts13WtJU567CBVIe/Bc3H08Bx20l4wZLkf46PvEvdsyKVBk7HP5qNP29O3fv7d9vPXj46PGT9sHTM5OXwMWI52kOF4wakSotRlbZVFwUIGjGUnHOrj6+fNvAozK9Ve7KsQko1KrueLUYml60PhBmJBKV2KpKQBdHdWkMGpafZpWMYFXteXvLe8fEUYhWpZh93XTIHyqu4ruKkJqmY23GAo/W910skg0HCJAxAsr4E1gcmBwxkCP3jHmBdAoRsgBkbGWYZrheGmgDVMhUElFzYiOhclxkTQAgu3e2umahFqagXFTD6DXP6r4TcfFB4hSk+yg71emhRFE6XaKOosRGwMw2orwW/9DBmsTlx8kzkHc7dC5zg8Zmsz5DH0GTZKzLAx2bWJp7VRJzsqEXq28xum7c4wGq5HcDvE29DxtuN02v5JZjkvM6EtT6kx43hY2ElFwSqeirpFSiNwK1dUijFGTNhJtX6CtXBIVZmwTwHfLQN1tXdNyqaGbPKGHZm1C7MzTlX/NfcuLTzt5NK6aK0QvMNC/TwOaBu4/BTIHgNl1hoBwUfmvAFxQvmMVb28JDiG9u+XY4S6IY85ekc/Jhexz73nPvhdfzYu+Nd+J9k69kcbv5uHzaj50t/zj/zYP960Nhvbd5fw3/3R9Syxf6</latexit><latexit sha1_base64="E1Y2p8z/yE5lmuGxkCWQMZHgEug=">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</latexit>ψc
F1λ(q4¯
q) = 1 4 p 3 [|((2rrg rgr grr)b (2rrb rbr brr)g + (rgb + grb rbg brg)r)¯ ri +|((2ggb gbg bgg)r (2ggr grg rgg)b + (gbr + bgr grb rgb)g)¯ gi +|((2bbr brb rbb)g (2bbg bgb gbb)r + (brg + rbg bgr gbr)b)¯ bi ⇤
<latexit sha1_base64="YfQNGxq25mLStz7Hs+gIY/t9I8=">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</latexit><latexit sha1_base64="YfQNGxq25mLStz7Hs+gIY/t9I8=">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</latexit><latexit sha1_base64="YfQNGxq25mLStz7Hs+gIY/t9I8=">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</latexit><latexit sha1_base64="YfQNGxq25mLStz7Hs+gIY/t9I8=">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</latexit>ψc
F1η(q4¯
q) = 1 3 p 2 [|((rgb grb + brg rbg + gbr bgr)r)¯ ri +|((rgb grb + brg rbg + gbr bgr)g)¯ gi +|((rgb grb + brg rbg + gbr bgr)b)¯ bi ⇤
<latexit sha1_base64="SlfoEyUo7Ng8+MNlg9cD4yCEcRI=">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</latexit><latexit sha1_base64="SlfoEyUo7Ng8+MNlg9cD4yCEcRI=">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</latexit><latexit sha1_base64="SlfoEyUo7Ng8+MNlg9cD4yCEcRI=">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</latexit><latexit sha1_base64="SlfoEyUo7Ng8+MNlg9cD4yCEcRI=">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</latexit>22
H = 2 r π k0 µ
3
X
j=1
ej ksj,−e−i~
k·~ rj + 1
2g ⇣ pj,−e−i~
k·~ rj + e−i~ k·~ rjpj,−
⌘
<latexit sha1_base64="tjk4u5j560YL2ViOBdCqvUSCkZ0=">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</latexit><latexit sha1_base64="tjk4u5j560YL2ViOBdCqvUSCkZ0=">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</latexit><latexit sha1_base64="tjk4u5j560YL2ViOBdCqvUSCkZ0=">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</latexit><latexit sha1_base64="tjk4u5j560YL2ViOBdCqvUSCkZ0=">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</latexit>spin-flip
U↵,j = hψgs|e−i~
k·~ rj|ψ↵i
<latexit sha1_base64="vUfMHMTFMmpGUkjGg821HurS9k=">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</latexit><latexit sha1_base64="DwfaTU3O9BrcruD3PtKDy2Oeib4=">ACNXicbZC7TsNAEXvAmvACWNxUOiAGTQIMUQUNBESQSkOJgjTeTZMl6be2uI0XGP0UBH8AfUEFBAUK0VFCzcSh4jbTS0Z25mp0bxJwp7TgP1tDwyOjY+MRkYWp6ZnauOL9QVEiKVZoxCN5FoBCzgRWNMcz2KJEAYcT4POQb9/2kWpWCROdC/GegtwZqMgjaSXzyq+KkHPG7DxkW253EQLY5erJiftlR2iefpJvO6SNO5tFGpHOWmX+RXeZTA68nc59fXHG2nLzsv+B+wUp9f36tjv1UfaLd14jokmIQlMOStVcJ9b1FKRmlGNW8BKFMdAOtLBmUECIqp7mV2f2mlEadjOS5glt5+p3RwqhUr0wMJMh6Lb63euL/VqiW7u1lMm4kSjoINFzYTbOrL7EdoNJpFq3jMAVDLzV5u2QLVJuiCcH9fJfqG5vuYaPTRr7ZFATZIksk3Xikh1SIoekTCqEkityT57Is3VjPVov1utgdMj68iySH2W9fQKburLI</latexit><latexit sha1_base64="DwfaTU3O9BrcruD3PtKDy2Oeib4=">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</latexit><latexit sha1_base64="JPrh13xqA2Dbju8by+32Piw8n+8=">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</latexit>T↵,j = hψgs|pj,−e−i~
k·~ rj|ψ↵i
<latexit sha1_base64="fMmSjhRNYjizwdwNEsX/a8BftS4=">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</latexit><latexit sha1_base64="xuVeUNB625z6REr/pXAY+q2wTUg=">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</latexit><latexit sha1_base64="xuVeUNB625z6REr/pXAY+q2wTUg=">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</latexit><latexit sha1_base64="Ej8AOvy2ODr5zH8goAdb+Lvfl0k=">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</latexit>Radial contribu5on of
the j-th component:
Contribu5on of spin-flavor to the probability amplitude, example:
hΣ+
b ; 1/2, ν 1/2|e1s1,−|2ρ(Σ∗+ b ); J, νi
= huub 1 p 6(#"# + "## 2 ##")|e1s1,−|uub 1 p 2("# #") "i = 1 p 3eu
<latexit sha1_base64="5PemV7DXf60jMBLPGY4kb4U/3og=">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</latexit><latexit sha1_base64="5PemV7DXf60jMBLPGY4kb4U/3og=">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</latexit><latexit sha1_base64="5PemV7DXf60jMBLPGY4kb4U/3og=">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</latexit><latexit sha1_base64="5PemV7DXf60jMBLPGY4kb4U/3og=">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</latexit>Non-rela5vis5c Hamiltonian
q
<latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit><latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit><latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit><latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit>q
<latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit><latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit><latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit><latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit>q
<latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit><latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit><latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit><latexit sha1_base64="SuDVn1cQ/9brAakVOXLh+og2Y=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxBfsBbSib7aRdu9nE3Y1Qn+BFw+KePUnefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXks780kQT+iQ8lDzqixVuOxX64VXcusgpeDhXIVe+Xv3qDmKURSsME1bruYnxM6oMZwKnpV6qMaFsTIfYtShphNrP5otOyZl1BiSMlX3SkLn7eyKjkdaTKLCdETUjvVybmf/VuqkJr/2MyQ1KNniozAVxMRkdjUZcIXMiIkFyhS3uxI2oyY7Mp2RC85ZNXoXVR9Sw3Liu1mzyOIpzAKZyDB1dQgzuoQxMYIDzDK7w5D86L8+58LFoLTj5zDH/kfP4A25+M9Q=</latexit>B0
<latexit sha1_base64="ZDgxhIdvSkRtA8XdvPCxwF5TKQ=">AB6XicbZBNS8NAEIYn9avWr6pHL4tF9FQSEfRY6sVjFfsBbSib7aRdutmE3Y1Qv+BFw+KePUfefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXksH80kQT+iQ8lDzqix1kP9vF+uFV3LrIKXg4VyNXol796g5ilEUrDBNW67mJ8TOqDGcCp6VeqjGhbEyH2LUoaYTaz+abTsmZdQYkjJV90pC5+3sio5HWkyiwnRE1I71cm5n/1bqpCW/8jMskNSjZ4qMwFcTEZHY2GXCFzIiJBcoUt7sSNqKMmPDKdkQvOWTV6F1WfUs319VavU8jiKcwClcgAfXUIM7aEATGITwDK/w5oydF+fd+Vi0Fpx85hj+yPn8AfSljPc=</latexit><latexit sha1_base64="ZDgxhIdvSkRtA8XdvPCxwF5TKQ=">AB6XicbZBNS8NAEIYn9avWr6pHL4tF9FQSEfRY6sVjFfsBbSib7aRdutmE3Y1Qv+BFw+KePUfefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXksH80kQT+iQ8lDzqix1kP9vF+uFV3LrIKXg4VyNXol796g5ilEUrDBNW67mJ8TOqDGcCp6VeqjGhbEyH2LUoaYTaz+abTsmZdQYkjJV90pC5+3sio5HWkyiwnRE1I71cm5n/1bqpCW/8jMskNSjZ4qMwFcTEZHY2GXCFzIiJBcoUt7sSNqKMmPDKdkQvOWTV6F1WfUs319VavU8jiKcwClcgAfXUIM7aEATGITwDK/w5oydF+fd+Vi0Fpx85hj+yPn8AfSljPc=</latexit><latexit sha1_base64="ZDgxhIdvSkRtA8XdvPCxwF5TKQ=">AB6XicbZBNS8NAEIYn9avWr6pHL4tF9FQSEfRY6sVjFfsBbSib7aRdutmE3Y1Qv+BFw+KePUfefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXksH80kQT+iQ8lDzqix1kP9vF+uFV3LrIKXg4VyNXol796g5ilEUrDBNW67mJ8TOqDGcCp6VeqjGhbEyH2LUoaYTaz+abTsmZdQYkjJV90pC5+3sio5HWkyiwnRE1I71cm5n/1bqpCW/8jMskNSjZ4qMwFcTEZHY2GXCFzIiJBcoUt7sSNqKMmPDKdkQvOWTV6F1WfUs319VavU8jiKcwClcgAfXUIM7aEATGITwDK/w5oydF+fd+Vi0Fpx85hj+yPn8AfSljPc=</latexit><latexit sha1_base64="ZDgxhIdvSkRtA8XdvPCxwF5TKQ=">AB6XicbZBNS8NAEIYn9avWr6pHL4tF9FQSEfRY6sVjFfsBbSib7aRdutmE3Y1Qv+BFw+KePUfefPfuG1z0NYXFh7emWFn3iARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFsljEqhNQjYJLbBpuBHYShTQKBLaD8e2s3n5CpXksH80kQT+iQ8lDzqix1kP9vF+uFV3LrIKXg4VyNXol796g5ilEUrDBNW67mJ8TOqDGcCp6VeqjGhbEyH2LUoaYTaz+abTsmZdQYkjJV90pC5+3sio5HWkyiwnRE1I71cm5n/1bqpCW/8jMskNSjZ4qMwFcTEZHY2GXCFzIiJBcoUt7sSNqKMmPDKdkQvOWTV6F1WfUs319VavU8jiKcwClcgAfXUIM7aEATGITwDK/w5oydF+fd+Vi0Fpx85hj+yPn8AfSljPc=</latexit>B
<latexit sha1_base64="84VY/ugUIsqyCmnCBj/Y8tjyQ2E=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY6sVjC/YD2lA20m7drMJuxuhP4CLx4U8epP8ua/cdvmoK0vLDy8M8POvEiuDau+0UNja3tneKu6W9/YPDo/LxSVvHqWLYrGIVTegGgWX2DLcCOwmCmkUCOwEk7t5vfOESvNYPphpgn5ER5KHnFjrWZ9UK64VXchsg5eDhXI1RiUv/rDmKURSsME1brnuYnxM6oMZwJnpX6qMaFsQkfYsyhphNrPFovOyIV1hiSMlX3SkIX7eyKjkdbTKLCdETVjvVqbm/VeqkJb/2MyQ1KNnyozAVxMRkfjUZcoXMiKkFyhS3uxI2poyY7Mp2RC81ZPXoX1V9Sw3ryu1eh5HEc7gHC7BgxuowT0oAUMEJ7hFd6cR+fFeXc+lq0FJ585hT9yPn8AlGOMxg=</latexit><latexit sha1_base64="84VY/ugUIsqyCmnCBj/Y8tjyQ2E=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY6sVjC/YD2lA20m7drMJuxuhP4CLx4U8epP8ua/cdvmoK0vLDy8M8POvEiuDau+0UNja3tneKu6W9/YPDo/LxSVvHqWLYrGIVTegGgWX2DLcCOwmCmkUCOwEk7t5vfOESvNYPphpgn5ER5KHnFjrWZ9UK64VXchsg5eDhXI1RiUv/rDmKURSsME1brnuYnxM6oMZwJnpX6qMaFsQkfYsyhphNrPFovOyIV1hiSMlX3SkIX7eyKjkdbTKLCdETVjvVqbm/VeqkJb/2MyQ1KNnyozAVxMRkfjUZcoXMiKkFyhS3uxI2poyY7Mp2RC81ZPXoX1V9Sw3ryu1eh5HEc7gHC7BgxuowT0oAUMEJ7hFd6cR+fFeXc+lq0FJ585hT9yPn8AlGOMxg=</latexit><latexit sha1_base64="84VY/ugUIsqyCmnCBj/Y8tjyQ2E=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY6sVjC/YD2lA20m7drMJuxuhP4CLx4U8epP8ua/cdvmoK0vLDy8M8POvEiuDau+0UNja3tneKu6W9/YPDo/LxSVvHqWLYrGIVTegGgWX2DLcCOwmCmkUCOwEk7t5vfOESvNYPphpgn5ER5KHnFjrWZ9UK64VXchsg5eDhXI1RiUv/rDmKURSsME1brnuYnxM6oMZwJnpX6qMaFsQkfYsyhphNrPFovOyIV1hiSMlX3SkIX7eyKjkdbTKLCdETVjvVqbm/VeqkJb/2MyQ1KNnyozAVxMRkfjUZcoXMiKkFyhS3uxI2poyY7Mp2RC81ZPXoX1V9Sw3ryu1eh5HEc7gHC7BgxuowT0oAUMEJ7hFd6cR+fFeXc+lq0FJ585hT9yPn8AlGOMxg=</latexit><latexit sha1_base64="84VY/ugUIsqyCmnCBj/Y8tjyQ2E=">AB6HicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY6sVjC/YD2lA20m7drMJuxuhP4CLx4U8epP8ua/cdvmoK0vLDy8M8POvEiuDau+0UNja3tneKu6W9/YPDo/LxSVvHqWLYrGIVTegGgWX2DLcCOwmCmkUCOwEk7t5vfOESvNYPphpgn5ER5KHnFjrWZ9UK64VXchsg5eDhXI1RiUv/rDmKURSsME1brnuYnxM6oMZwJnpX6qMaFsQkfYsyhphNrPFovOyIV1hiSMlX3SkIX7eyKjkdbTKLCdETVjvVqbm/VeqkJb/2MyQ1KNnyozAVxMRkfjUZcoXMiKkFyhS3uxI2poyY7Mp2RC81ZPXoX1V9Sw3ryu1eh5HEc7gHC7BgxuowT0oAUMEJ7hFd6cR+fFeXc+lq0FJ585hT9yPn8AlGOMxg=</latexit>γ
<latexit sha1_base64="7gxsz35rV5iow5b8W6EqtQy0sk=">AB7XicbZBNSwMxEIZn61etX1WPXoJF8FR2RdBj0YvHCvYD2qXMptk2NtksSVYopf/BiwdFvPp/vPlvTNs9aOsLgYd3ZsjMG6WCG+v7315hbX1jc6u4XdrZ3ds/KB8eNY3KNGUNqoTS7QgNEzxhDcutYO1UM5SRYK1odDurt56YNlwlD3acslDiIOExp2id1ewOUErslSt+1Z+LrEKQwVy1Xvlr25f0UyxFKBxnQCP7XhBLXlVLBpqZsZliId4YB1HCYomQkn82n5Mw5fRIr7V5iydz9PTFBacxYRq5Toh2a5drM/K/WyWx8HU54kmaWJXTxUZwJYhWZnU76XDNqxdgBUs3droQOUSO1LqCSCyFYPnkVmhfVwPH9ZaV2k8dRhBM4hXMI4ApqcAd1aACFR3iGV3jzlPfivXsfi9aCl8cwx95nz+G7Y8V</latexit><latexit sha1_base64="7gxsz35rV5iow5b8W6EqtQy0sk=">AB7XicbZBNSwMxEIZn61etX1WPXoJF8FR2RdBj0YvHCvYD2qXMptk2NtksSVYopf/BiwdFvPp/vPlvTNs9aOsLgYd3ZsjMG6WCG+v7315hbX1jc6u4XdrZ3ds/KB8eNY3KNGUNqoTS7QgNEzxhDcutYO1UM5SRYK1odDurt56YNlwlD3acslDiIOExp2id1ewOUErslSt+1Z+LrEKQwVy1Xvlr25f0UyxFKBxnQCP7XhBLXlVLBpqZsZliId4YB1HCYomQkn82n5Mw5fRIr7V5iydz9PTFBacxYRq5Toh2a5drM/K/WyWx8HU54kmaWJXTxUZwJYhWZnU76XDNqxdgBUs3droQOUSO1LqCSCyFYPnkVmhfVwPH9ZaV2k8dRhBM4hXMI4ApqcAd1aACFR3iGV3jzlPfivXsfi9aCl8cwx95nz+G7Y8V</latexit><latexit sha1_base64="7gxsz35rV5iow5b8W6EqtQy0sk=">AB7XicbZBNSwMxEIZn61etX1WPXoJF8FR2RdBj0YvHCvYD2qXMptk2NtksSVYopf/BiwdFvPp/vPlvTNs9aOsLgYd3ZsjMG6WCG+v7315hbX1jc6u4XdrZ3ds/KB8eNY3KNGUNqoTS7QgNEzxhDcutYO1UM5SRYK1odDurt56YNlwlD3acslDiIOExp2id1ewOUErslSt+1Z+LrEKQwVy1Xvlr25f0UyxFKBxnQCP7XhBLXlVLBpqZsZliId4YB1HCYomQkn82n5Mw5fRIr7V5iydz9PTFBacxYRq5Toh2a5drM/K/WyWx8HU54kmaWJXTxUZwJYhWZnU76XDNqxdgBUs3droQOUSO1LqCSCyFYPnkVmhfVwPH9ZaV2k8dRhBM4hXMI4ApqcAd1aACFR3iGV3jzlPfivXsfi9aCl8cwx95nz+G7Y8V</latexit><latexit sha1_base64="7gxsz35rV5iow5b8W6EqtQy0sk=">AB7XicbZBNSwMxEIZn61etX1WPXoJF8FR2RdBj0YvHCvYD2qXMptk2NtksSVYopf/BiwdFvPp/vPlvTNs9aOsLgYd3ZsjMG6WCG+v7315hbX1jc6u4XdrZ3ds/KB8eNY3KNGUNqoTS7QgNEzxhDcutYO1UM5SRYK1odDurt56YNlwlD3acslDiIOExp2id1ewOUErslSt+1Z+LrEKQwVy1Xvlr25f0UyxFKBxnQCP7XhBLXlVLBpqZsZliId4YB1HCYomQkn82n5Mw5fRIr7V5iydz9PTFBacxYRq5Toh2a5drM/K/WyWx8HU54kmaWJXTxUZwJYhWZnU76XDNqxdgBUs3droQOUSO1LqCSCyFYPnkVmhfVwPH9ZaV2k8dRhBM4hXMI4ApqcAd1aACFR3iGV3jzlPfivXsfi9aCl8cwx95nz+G7Y8V</latexit>ν = 1/2
<latexit sha1_base64="DgHXKGtsCZHYwigqlOfGkMpuYzk=">AB7nicbZDLSgMxFIbP1Fut6pLN6FEIQ6041uhKIblxXsBTpDyaRpG5rJDMkZoQx9CDcuFNGlz+POtzG9LT1h8DHf84h5/xhIoVB1/12cmvrG5tb+e3Czu7e/kHx8Khp4lQz3mCxjHU7pIZLoXgDBUreTjSnUSh5KxzdTutR6NiNUDjhMeRHSgRF8witZq+Sq9i6q3WLZrbgzkVXwFlCulfzDwCod4tfi9macQVMkmN6XhugkFGNQom+aTgp4YnlI3ogHcsKhpxE2SzdSfk1Do90o+1fQrJzP09kdHImHEU2s6I4tAs16bmf7VOiv2rIBMqSZErNv+on0qCMZneTnpCc4ZybIEyLeyuhA2pgxtQgUbgrd8io0qxXP8r1N4wbmysMJlOAMPLiEGtxBHRrAYARP8AKvTuI8O2/O+7w15yxmjuGPnM8fQ+6QUw=</latexit><latexit sha1_base64="NE0rOIT4Gcp9PTfv5795YQNU=">AB7nicbZDLSgMxFIbPeK31VnXpJrQIglBnutGNUHTjsoK9QGcomThmaSIckIw9CHEMSFIm59Hnd9G9PLQlt/CHz85xyzh8mnGnjuhNnbX1jc2u7sFPc3ds/OCwdHbe0TBWhTSK5VJ0Qa8qZoE3DKedRFEch5y2w9HdtN5+okozKR5NltAgxgPBIkawsVbF+mNd1nrlSpu1Z0JrYK3gEq97F+8TOpZo1f69vuSpDEVhnCsdzExPkWBlGOB0X/VTBJMRHtCuRYFjqoN8tu4YnVmnjyKp7BMGzdzfEzmOtc7i0HbG2Az1cm1q/lfrpia6DnImktRQeYfRSlHRqLp7ajPFCWGZxYwUczuisgQK0yMTahoQ/CWT16FVq3qWX6wadzCXAU4hTKcgwdXUId7aEATCIzgGd7g3UmcV+fD+Zy3rjmLmRP4I+frB01Ykdk=</latexit><latexit sha1_base64="NE0rOIT4Gcp9PTfv5795YQNU=">AB7nicbZDLSgMxFIbPeK31VnXpJrQIglBnutGNUHTjsoK9QGcomThmaSIckIw9CHEMSFIm59Hnd9G9PLQlt/CHz85xyzh8mnGnjuhNnbX1jc2u7sFPc3ds/OCwdHbe0TBWhTSK5VJ0Qa8qZoE3DKedRFEch5y2w9HdtN5+okozKR5NltAgxgPBIkawsVbF+mNd1nrlSpu1Z0JrYK3gEq97F+8TOpZo1f69vuSpDEVhnCsdzExPkWBlGOB0X/VTBJMRHtCuRYFjqoN8tu4YnVmnjyKp7BMGzdzfEzmOtc7i0HbG2Az1cm1q/lfrpia6DnImktRQeYfRSlHRqLp7ajPFCWGZxYwUczuisgQK0yMTahoQ/CWT16FVq3qWX6wadzCXAU4hTKcgwdXUId7aEATCIzgGd7g3UmcV+fD+Zy3rjmLmRP4I+frB01Ykdk=</latexit><latexit sha1_base64="fo1PuU1hA83VH83aForh9X4iuA4=">AB7nicbZA9SwNBEIbn4leMX1FLm8UgWMW7NLERgjaWEcwHJEfY2+wlS/b2jt05IRz5ETYWitj6e+z8N26SKzTxhYWHd2bYmTdIpDout9OYWNza3unuFva2z84PCofn7RNnGrGWyWse4G1HApFG+hQMm7ieY0CiTvBJO7eb3zxLURsXrEacL9iI6UCAWjaK1OX6U3lVtUK64VXchsg5eDhXI1RyUv/rDmKURV8gkNabnuQn6GdUomOSzUj81PKFsQke8Z1HRiBs/W6w7IxfWGZIw1vYpJAv390RGI2OmUWA7I4pjs1qbm/VeimG134mVJIiV2z5UZhKgjGZ306GQnOGcmqBMi3sroSNqaYMbUIlG4K3evI6tGtVz/KDW2nc5nEU4QzO4RI8qEMD7qEJLWAwgWd4hTcncV6cd+dj2Vpw8plT+CPn8wcxb47K</latexit>23
|φt(uudc¯ c)i = |φt(uudc)i |φ(¯ c)i
<latexit sha1_base64="yQnmwtaDQr5fQr/3LcARKkIsl3M=">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</latexit><latexit sha1_base64="yQnmwtaDQr5fQr/3LcARKkIsl3M=">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</latexit><latexit sha1_base64="yQnmwtaDQr5fQr/3LcARKkIsl3M=">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</latexit><latexit sha1_base64="yQnmwtaDQr5fQr/3LcARKkIsl3M=">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</latexit>Estas funciones de onda de las funciones de onda de espín, simplemente reemplazando y ya que al igual que el espín, los quarks u y d pertenecen a un doblete y
Acoplando el quinto estado de sabor
↑ → u
<latexit sha1_base64="WxlTva8PcUvkQfpUvbjYwFgpcvY=">AB+XicbZC7SgNBFIbPeo3xtmqpxWAQrMKujZIqxMYygrlAdgmzk9lkyOzOMpdIWPImNhaK2Nr4Ha+jZNLoYk/DHz85xzOmT/KOFPa876dtfWNza3twk5xd2/4NA9Om4qYShDSK4kO0IK8pZShuaU7bmaQ4iThtRcPbab01olIxkT7ocUbDBPdTFjOCtbW6rhuYDEspHoNKoEVQMV235JW9mdAq+AsoVc8+awgA6l3K+gJYhKasKxUh3fy3SY6kZ4XRSDIyiGSZD3KcdiylOqArz2eUTdGdHoqFtC/VaOb+nshxotQ4iWxngvVALdem5n+1jtHxTZizNDOapmS+KDYcaYGmMaAek5RoPraAiWT2VkQGWGKibVhFG4K/OVaF6Vfcv3No0azFWAUziHS/DhGqpwB3VoAIERPMELvDq58+y8Oe/z1jVnMXMCf+R8/ACHb5UJ</latexit><latexit sha1_base64="IBp3Rcxa9dn9hXvsEpTpMRpaOCQ=">AB+XicbZC7SgNBFIZn4y1GjauWgwGwSrs2ipQmwsI5gLZJcwO5lNhszOLHOJhCVvYmOhiK2Nz2Hnm1hYOLkUmvjDwMd/zuGc+aOUaU979PJra1vbG7ltws7u3vFfgsKmEkZg0sGBCtiOkCKOcNDTVjLRTSVASMdKhtfTemtEpKC3+lxSsIE9TmNKUbaWl3XDUyKpBT3QSXQIqiYrlvyt5McBX8BZSqJ+817/urWO+6H0FPYJMQrjFDSnV8L9VhqSmJFJITCKpAgPUZ90LHKUEBVms8sn8Mw6PRgLaR/XcOb+nshQotQ4iWxngvRALdem5n+1jtHxVZhRnhpNOJ4vig2DWsBpDLBHJcGajS0gLKm9FeIBkghrG1bBhuAvf3kVmhdl3/KtTaMG5sqDY3AKzoEPLkEV3IA6aAMRuABPIFnJ3MenRfnd6acxYzR+CPnLcfTLaXGw=</latexit><latexit sha1_base64="IBp3Rcxa9dn9hXvsEpTpMRpaOCQ=">AB+XicbZC7SgNBFIZn4y1GjauWgwGwSrs2ipQmwsI5gLZJcwO5lNhszOLHOJhCVvYmOhiK2Nz2Hnm1hYOLkUmvjDwMd/zuGc+aOUaU979PJra1vbG7ltws7u3vFfgsKmEkZg0sGBCtiOkCKOcNDTVjLRTSVASMdKhtfTemtEpKC3+lxSsIE9TmNKUbaWl3XDUyKpBT3QSXQIqiYrlvyt5McBX8BZSqJ+817/urWO+6H0FPYJMQrjFDSnV8L9VhqSmJFJITCKpAgPUZ90LHKUEBVms8sn8Mw6PRgLaR/XcOb+nshQotQ4iWxngvRALdem5n+1jtHxVZhRnhpNOJ4vig2DWsBpDLBHJcGajS0gLKm9FeIBkghrG1bBhuAvf3kVmhdl3/KtTaMG5sqDY3AKzoEPLkEV3IA6aAMRuABPIFnJ3MenRfnd6acxYzR+CPnLcfTLaXGw=</latexit><latexit sha1_base64="TILpKnkyWtdadzuxiMb0Eef1xCo=">AB+XicbZDLSgMxFIYz9VbrbdSlm2ARXJUZN0pXRTcuK9gLdIaSTNtaGYyJCeVMvRN3LhQxK1v4s63MW1noa0/BD7+cw7n5I8ywTV43rdT2tjc2t4p71b29g8Oj9zjk7aWRlHWolJI1Y2IZoKnrAUcBOtmipEkEqwTje/m9c6EKc1l+gjTjIUJGaY85pSAtfquG5iMKCWfgnoAMqibvlv1at5CeB38AqoULPvfgUDSU3CUqCaN3zvQzCnCjgVLBZJTCaZYSOyZD1LKYkYTrMF5fP8IV1BjiWyr4U8ML9PZGTROtpEtnOhMBIr9bm5n+1noH4Jsx5mhlgKV0uio3AIPE8BjzgilEQUwuEKm5vxXREFKFgw6rYEPzVL69D+6rmW37wqo3bIo4yOkPn6BL56Bo10D1qohaiaIKe0St6c3LnxXl3PpatJaeYOUV/5Hz+AI27k5M=</latexit>↓ → d
<latexit sha1_base64="G898UjFnMYjkBKZwnkfG5AhZuHw=">AB+3icbZDLSgMxFIbP1Fut7EudREsgqsy40bpqtSNywq2FTpDyWTSNjSTDEnGWkpfxY0LRdwKPoc738b0stDWA4GP/z8nOfmjlDNtPO/bya2tb2xu5bcLO7t7+wfuYbGpZaYIbRDJpbqPsKacCdowzHB6nyqKk4jTVjS4nvqtB6o0k+LOjFIaJrgnWJcRbKzUcYtBLIcCKyWHQSUwMqjEHbfklb1ZoVXwF1CqnzWEADUO+6XvYRkCRWGcKx12/dSE46xMoxwOikEmaYpJgPco2LAidUh+PZ7hN0ZpUYdaWyRxg0U39PjHGi9SiJbGeCTV8ve1PxP6+dme5VOGYizQwVZP5QN+PISDQNAsVMUWL4yAImitldEeljhYmxcRVsCP7yl1eheVH2Ld/aNGowrzwcwymcgw+XUIUbqEMDCDzCE7zAqzNxnp0353emnMWM0fwp5yPHwVUld8=</latexit><latexit sha1_base64="EP3A1yhEktXKOyIBYqetzyzedkQ=">AB+3icbZC7TsMwFIadcisFSigjDBYVElOVsIA6VWVhLBK9SE1UOY7TWnXsyHYoVdRXYWEAIVYknoON2FgwL0M0HIkS5/+/xz7+A8SRpV2nE8rt7a+sbmV3y7s7O4V9+2DUkuJVGLSxIJ2QmQIoxy0tRUM9JEFxwEg7GF5N/fYdkYoKfqvHCfFj1Oc0ohpI/XskheKEUdSipFX9bTwqmHPLjsVZ1ZwFdwFlGvH73Xn+6vY6Nkf5hKcxoRrzJBSXdJtJ8hqSlmZFLwUkUShIeoT7oGOYqJ8rPZ7hN4apQRkKawzWcqb8nMhQrNY4D0xkjPVDL3lT8z+umOr0M8qTVBO5w9FKYNawGkQMKSYM3GBhCW1OwK8QBJhLWJq2BCcJe/vAqt84pr+MakUQfzyoMjcALOgAsuQA1cgwZoAgzuwQN4As/WxHq0XqzXeWvOWswcgj9lvf0AyoyX8Q=</latexit><latexit sha1_base64="EP3A1yhEktXKOyIBYqetzyzedkQ=">AB+3icbZC7TsMwFIadcisFSigjDBYVElOVsIA6VWVhLBK9SE1UOY7TWnXsyHYoVdRXYWEAIVYknoON2FgwL0M0HIkS5/+/xz7+A8SRpV2nE8rt7a+sbmV3y7s7O4V9+2DUkuJVGLSxIJ2QmQIoxy0tRUM9JEFxwEg7GF5N/fYdkYoKfqvHCfFj1Oc0ohpI/XskheKEUdSipFX9bTwqmHPLjsVZ1ZwFdwFlGvH73Xn+6vY6Nkf5hKcxoRrzJBSXdJtJ8hqSlmZFLwUkUShIeoT7oGOYqJ8rPZ7hN4apQRkKawzWcqb8nMhQrNY4D0xkjPVDL3lT8z+umOr0M8qTVBO5w9FKYNawGkQMKSYM3GBhCW1OwK8QBJhLWJq2BCcJe/vAqt84pr+MakUQfzyoMjcALOgAsuQA1cgwZoAgzuwQN4As/WxHq0XqzXeWvOWswcgj9lvf0AyoyX8Q=</latexit><latexit sha1_base64="1KWvAqNhydBubEy7VvGMK5GEiZE=">AB+3icbZC7TsMwFIadcivlFsrIElEhMVUJC6hTBQtjkehFaqLKcZzWqmNH9gmlivoqLAwgxMqLsPE2uG0GaDmSpU/f459/IcpZxpc9sqbWxube+Udyt7+weHR/ZxtaNlpghtE8ml6oVYU84EbQMDTnupojgJOe2G49u532kSjMpHmCa0iDBQ8FiRjAYaWBX/UhOBFZKTvyGD9JvRAO75tbdRTnr4BVQ0W1BvaXuYRkCRVAONa67kpBDlWwAins4qfaZpiMsZD2jcocEJ1kC92nznRomcWCpzBDgL9fdEjhOtp0loOhMI73qzcX/vH4G8XWQM5FmQAVZPhRn3AHpzINwIqYoAT41gIliZleHjLDCBExcFROCt/rldehc1j3D926teVPEUan6AxdIA9doSa6Qy3URgQ9oWf0it6smfVivVsfy9aSVcycoD9lf4AC6CUaQ=</latexit>ψc
F1ρ(q4¯
q) = 1 12 [|((2gbr 2bgr rgb + grb + rbg brg)r + 3(rgr grr)b 3(rbr brr)g)¯ ri +|((2brg 2rbg gbr + bgr + grb rgb)g + 3(gbg bgg)r 3(grg rgg)b)¯ gi +|((2rgb 2grb brg + rbg + bgr gbr)b + 3(brb rbb)g 3(bgb gbb)r)¯ bi ⇤
<latexit sha1_base64="E1Y2p8z/yE5lmuGxkCWQMZHgEug=">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</latexit><latexit sha1_base64="E1Y2p8z/yE5lmuGxkCWQMZHgEug=">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</latexit><latexit sha1_base64="E1Y2p8z/yE5lmuGxkCWQMZHgEug=">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</latexit><latexit sha1_base64="E1Y2p8z/yE5lmuGxkCWQMZHgEug=">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</latexit>i. Todos los estados >sicos deben ser un singlete de color.
permutación de los cuatro quarks.
Representación irreducible de S4 , e isomorfismo con el grupo tetraedral
24
S4 Td [4] ∼ A1 singlet [31] ∼ F2 triplet [22] ∼ E doublet [211] ∼ F1 triplet [1111] ∼ A2 singlet
<latexit sha1_base64="jOU4l+MA/VYsIENj+IioNcZDw/4=">ADPHicfVJNb9MwGHbC1q+OjhyeUVDxQFNdZkExw0E4jhg3SbFUeQ4bmvNcSLbQVRfxgXfgQ3Tlw4gBXzjhp1nUr4o2iPHnf53m/7KSQwtjh8KvnX7l67fqNrU735q3bd+72tu8dmbzUjI9ZLnN9klDpVB8bIWV/KTQnGaJ5MfJ6cs6fvyBayNydWjnBY8yOlViIhi1zhVve+9IwqdCVZYmpaR6UQFrn0WXzOq0Xeh0IHgf7wYDGAQVYVTC4SJO3S8AIVDHz5lBuBsFg4AYkQWOvh9j9wGSJfnHyg1ldwuVjIwqd4jQ7B63h0zrdaFA2fkCY1eQLhaBRBnXileBW4Ns4UaV4mGwq8VmJZA/+/Bsb4Ylf7612dTVHPsJwbOoSrdLXCuNcf7gwbg02AW9BHrR3EvS8kzVmZcWZpMaEeFjYqKLaCia5O4fS8IKyUzrloYOKZtxEVXP4C3jkPClMcu1eZaHxrisqmhkzxLHzKidmcux2vmvWFjayfOoEqoLVdsWhSrA51DcJUqE5s3LuAGVauF6BzaimzLr71nVLwJdH3gRHox3s8NtRf+9Fu4t9A9RI8Rs/QHnqDtAYMe+T98374f30P/vf/V/+7yXV91rNfXTB/D9/AXEl7uA=</latexit><latexit sha1_base64="jOU4l+MA/VYsIENj+IioNcZDw/4=">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</latexit><latexit sha1_base64="jOU4l+MA/VYsIENj+IioNcZDw/4=">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</latexit><latexit sha1_base64="jOU4l+MA/VYsIENj+IioNcZDw/4=">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</latexit>Td
<latexit sha1_base64="F4T5/TY9VW4AtblQaMT/zGkSqnQ=">AB8XicbZC7SgNBFIbPxluMt6hgYzMYBKuwa6Nl0MYygdwWeLs7EkyZHZ2mZkVwpK3sLFQxNa3sbPxWZxcCk38YeDjP+cw5/xBIrg2rvl5NbWNza38tuFnd29/YPi4VFTx6li2GCxiFU7oBoFl9gw3AhsJwpFAhsBaPbab31iErzWNbNOE/ogPJ+5xRY637rMuoIPVJL+wVS27ZnYmsgreAUuWk9v0ANVe8bMbxiyNUBomqNYdz02Mn1FlOBM4KXRTjQlIzrAjkVJI9R+Nt4Qs6tE5J+rOyThszc3xMZjbQeR4HtjKgZ6uXa1Pyv1klN/9rPuExSg5LNP+qngpiYTM8nIVfIjBhboExuythQ6oMzakg3BWz5FZqXZc9yzaZxA3Pl4RTO4AI8uIK3EVGsBAwhO8wKujnWfnzXmft+acxcwx/JHz8QPC85J6</latexit><latexit sha1_base64="jvikjqR1hsr1BATpzL7EO2DBtg=">AB8XicbZDLSgMxFIZP6q3W1Vw4yZYBFdlxo0uS924bKE3bIeSyWTa0ExmSDJCGfoWblwo4lZ8C5/AnRufxfSy0NYfAh/OYec8/uJ4No4zhfKra1vbG7ltws7u3v7B8XDo5aOU0VZk8YiVh2faCa4ZE3DjWCdRDES+YK1/dHNtN6+Z0rzWDbMOGFeRAaSh5wSY627rEeJwI1JP+gXS07ZmQmvgruAUuWk/s3fqx+1fvGzF8Q0jZg0VBCtu6TGC8jynAq2KTQSzVLCB2RAetalCRi2stmG0/wuXUCHMbKPmnwzP09kZFI63Hk286ImKFerk3N/2rd1ITXsZlkhom6fyjMBXYxHh6Pg64YtSIsQVCFbe7YjokilBjQyrYENzlk1ehdVl2LdtGlWYKw+ncAYX4MIVOAWatAEChIe4AmekUaP6AW9zltzaDFzDH+E3n4AFEOUNg=</latexit><latexit sha1_base64="jvikjqR1hsr1BATpzL7EO2DBtg=">AB8XicbZDLSgMxFIZP6q3W1Vw4yZYBFdlxo0uS924bKE3bIeSyWTa0ExmSDJCGfoWblwo4lZ8C5/AnRufxfSy0NYfAh/OYec8/uJ4No4zhfKra1vbG7ltws7u3v7B8XDo5aOU0VZk8YiVh2faCa4ZE3DjWCdRDES+YK1/dHNtN6+Z0rzWDbMOGFeRAaSh5wSY627rEeJwI1JP+gXS07ZmQmvgruAUuWk/s3fqx+1fvGzF8Q0jZg0VBCtu6TGC8jynAq2KTQSzVLCB2RAetalCRi2stmG0/wuXUCHMbKPmnwzP09kZFI63Hk286ImKFerk3N/2rd1ITXsZlkhom6fyjMBXYxHh6Pg64YtSIsQVCFbe7YjokilBjQyrYENzlk1ehdVl2LdtGlWYKw+ncAYX4MIVOAWatAEChIe4AmekUaP6AW9zltzaDFzDH+E3n4AFEOUNg=</latexit><latexit sha1_base64="tL5IWBwlZIVRuATGFT+aVpaHOYA=">AB8XicbZBNS8NAEIYn9avWr6pHL4tF8FQSL3osevFYoV/YhjLZbNqlm03Y3Qgl9F948aCIV/+N/+N2zYHbX1h4eGdGXbmDVLBtXHdb6e0sbm1vVPereztHxweVY9POjrJFGVtmohE9QLUTHDJ2oYbwXqpYhgHgnWDyd283n1iSvNEtsw0ZX6MI8kjTtFY6zEfUBSkNRuGw2rNrbsLkXwCqhBoeaw+jUIE5rFTBoqUOu+56bGz1EZTgWbVQaZinSCY5Y36LEmGk/X2w8IxfWCUmUKPukIQv390SOsdbTOLCdMZqxXq3Nzf9q/cxEN37OZoZJunyoygTxCRkfj4JuWLUiKkFpIrbXQkdo0JqbEgVG4K3evI6dK7qnuUHt9a4LeIowxmcwyV4cA0NuIcmtIGChGd4hTdHOy/Ou/OxbC05xcwp/JHz+QM0W5CV</latexit>SUsf(8) ⊃ SUf(4) ⊗ SUs(2) [f] ⊃ [g] ⊗ [g0] ψsf
F2
[31]630 [4]35 ⊗ [31]3 [φA1 × χF2]F2 [31]45 ⊗ [4]5 [φF2 × χA1]F2 [31]3 [φF2 × χF2]F2 [22]1 [22]20 ⊗ [31]3 [φE × χF2]F2 [211]15 ⊗ [31]3 [φF1 × χF2]F2 [22]1
<latexit sha1_base64="sM2V8YTb3qNrQF25df5UiVIZK0g=">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</latexit><latexit sha1_base64="sM2V8YTb3qNrQF25df5UiVIZK0g=">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</latexit><latexit sha1_base64="sM2V8YTb3qNrQF25df5UiVIZK0g=">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</latexit><latexit sha1_base64="sM2V8YTb3qNrQF25df5UiVIZK0g=">AFjXiclVRdb9MwFPW2FrbysQ0ebFoKONlStIVBkJogBg8DkG3SXGIHNdJrTofih2kKsqv4R/xr/BTrKu7dZpu1Kkm3uznXceynAlpmv/W1jda7Xv3N7c6Dx4+ery9s/vkVCR5RuiQJDzJzn0sKGcxHUomOT1PM4ojn9Mzf/JZ42e/aSZYEv+U05S6EQ5jFjCpSp5uxt/kE9DFhcS+znHWVmQOsrO1hYa1qVGD+GXoGyCIqg3Dt8ZcCegUSeCiqNHpyBCjtQmOpXcCJZRMU8LMo9Wy+FCGnuOMGchXGBRIQ5FxOWaknDCdwleiesK5eMTvhSl6CBUsF+XRjzimPLo0b6VeVLwZd6apvuV7xum+WldbOFDv/YF6hZWRxlwFVb39snbIaSAdiNIx84qPnlVCVHVCRHRFO4YoY+FYugv+e5dMB5XKsojWnwHzIjXlvEgtu0JkIXoL+Q2TXBW5fhJ4GxXbViusj4acDZ8VbN64Zf6etLqTjvsO2pamsQcN1K5HjW37GOw5fn9vmJCIaj2b/pLfTNfNKuDVxGqSLmjixNv5i0YJySMaS8KxEI5lptItcCYZ4bTsoFzQFJMJDqmj0hirUdyiuk1K+EJVRjBIMvXElbV+RUFjoSYRr7qjLAci2VMF6/DnFwGh27B4jSXNCa1UJBzKBOoryY4Yhklk9VgknGlFdIxjDRKoLrKM2wVoe+Wpyau9bKv9ud48+NduxCZ6B52APWOANOALfwAkYAtLqtMzW29a79nZ70H7f/lC3rq81a56ChWh/Q/9upaZ</latexit>ψ = ⇥ ψc
F1 × ψosf F2
⇤
A2
<latexit sha1_base64="JD/pcUuWH4kyqwoN4wisetPLiU=">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</latexit><latexit sha1_base64="JD/pcUuWH4kyqwoN4wisetPLiU=">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</latexit><latexit sha1_base64="JD/pcUuWH4kyqwoN4wisetPLiU=">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</latexit><latexit sha1_base64="JD/pcUuWH4kyqwoN4wisetPLiU=">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</latexit>ψ = ψo
A1ψcsf A2 =
1 √ 3 h ψo
A1
⇣ ψc
F1λψsf F2ρ − ψc F1ρψsf F2λ + ψc F1ηψsf F2η
⌘i
<latexit sha1_base64="tZ5yLdCFpLEcMHkO0r36kwEJrtU=">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</latexit><latexit sha1_base64="tZ5yLdCFpLEcMHkO0r36kwEJrtU=">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</latexit><latexit sha1_base64="tZ5yLdCFpLEcMHkO0r36kwEJrtU=">ADYHicdVJdb9MwFHUTPkrYWAtv8GJRgYZgU1IetpdJAyTE45DoNqkukePetNYcJ7OdocrKn+SNB174JTgfqspWrhT5Jx7rWvblIrk0Y/up5/r37Dx72HwWPd3af7A2GT891XioGE5aLXF0mVIPgEiaGwGXhQKaJQIukqtPtX5xA0rzXH4zqwJmGV1InJGjaPiYe+GJLDg0sJ12VBV0BHatTfur9Acn7zG5B2u4XdLVIbzKrYf4qjaoJhOG3Jc4eAEk1RZqPKEn2tjH1fuVQBqZluLVIr+zjYKOakz7GNiHAvmdNqs1HTx4ljopa5U4IDvMXYai62GdVg7fbvGDo/72tSBRfLM2b7pwRmcsyS0AFBOR8PTpBExD2RyphUbXKesrxYBQehk3guyDqwAh1cRYPfpJ5zsoMpGCaj2NwsLMLFWGMwGufKmhoOyKLmDqoKQZ6JltFqTCrxwzx2mu3CcNbthNh6WZ1qscZkZNUt9W6vJbdq0NOnxzHJZlAYkaxulpcAmx/W24TlXwIxYOUCZ4u6umC2p2w3jdjJwQ4huP/kuOB8fRg5/HY9OP3bj6KMX6CXaRxE6QqfoCzpDE8R6vz3f2/F2vT9+39/zh2q1+s8z9A/4T/C5IpFNg=</latexit><latexit sha1_base64="tZ5yLdCFpLEcMHkO0r36kwEJrtU=">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</latexit>[11] F. Stancu, Oxford Stud. Nucl. Phys. 19 , 1 (1996).
[11]
25
because the frequencies of the modes are such that . The relevant states for electromagne5c baryon couplings are those with one quantum of excita5on in .
, implies frequencies such that , so in this case the most important contribu5on is in the mode. The total analysis of electromagne5c coplings is work in progress.
qqQ
<latexit sha1_base64="NCGRv2Cyz/2TMJXOjyYcCTL/kGY=">AB6nicbZBNSwMxEIZn61etX1WPXoJF8FR2RdBj0YvHFm0tEvJptk2NJvdJrNCWfoTvHhQxKu/yJv/xrTdg7a+EHh4Z4bMvEihUHX/XYKa+sbm1vF7dLO7t7+QfnwqGXiVDPeZLGMdTughkuheBMFSt5ONKdRIPljMLqd1R+fuDYiVg84Sbgf0YESoWAUrXU/Hjd65Ypbdeciq+DlUIFc9V75q9uPWRpxhUxSYzqem6CfUY2CST4tdVPDE8pGdMA7FhWNuPGz+apTcmadPgljbZ9CMnd/T2Q0MmYSBbYzojg0y7WZ+V+tk2J47WdCJSlyxRYfhakGJPZ3aQvNGcoJxYo08LuStiQasrQplOyIXjLJ69C6LqW5cVmo3eRxFOIFTOAcPrqAGd1CHJjAYwDO8wpsjnRfn3flYtBacfOY/sj5/AFM4o3L</latexit><latexit sha1_base64="NCGRv2Cyz/2TMJXOjyYcCTL/kGY=">AB6nicbZBNSwMxEIZn61etX1WPXoJF8FR2RdBj0YvHFm0tEvJptk2NJvdJrNCWfoTvHhQxKu/yJv/xrTdg7a+EHh4Z4bMvEihUHX/XYKa+sbm1vF7dLO7t7+QfnwqGXiVDPeZLGMdTughkuheBMFSt5ONKdRIPljMLqd1R+fuDYiVg84Sbgf0YESoWAUrXU/Hjd65Ypbdeciq+DlUIFc9V75q9uPWRpxhUxSYzqem6CfUY2CST4tdVPDE8pGdMA7FhWNuPGz+apTcmadPgljbZ9CMnd/T2Q0MmYSBbYzojg0y7WZ+V+tk2J47WdCJSlyxRYfhakGJPZ3aQvNGcoJxYo08LuStiQasrQplOyIXjLJ69C6LqW5cVmo3eRxFOIFTOAcPrqAGd1CHJjAYwDO8wpsjnRfn3flYtBacfOY/sj5/AFM4o3L</latexit><latexit sha1_base64="NCGRv2Cyz/2TMJXOjyYcCTL/kGY=">AB6nicbZBNSwMxEIZn61etX1WPXoJF8FR2RdBj0YvHFm0tEvJptk2NJvdJrNCWfoTvHhQxKu/yJv/xrTdg7a+EHh4Z4bMvEihUHX/XYKa+sbm1vF7dLO7t7+QfnwqGXiVDPeZLGMdTughkuheBMFSt5ONKdRIPljMLqd1R+fuDYiVg84Sbgf0YESoWAUrXU/Hjd65Ypbdeciq+DlUIFc9V75q9uPWRpxhUxSYzqem6CfUY2CST4tdVPDE8pGdMA7FhWNuPGz+apTcmadPgljbZ9CMnd/T2Q0MmYSBbYzojg0y7WZ+V+tk2J47WdCJSlyxRYfhakGJPZ3aQvNGcoJxYo08LuStiQasrQplOyIXjLJ69C6LqW5cVmo3eRxFOIFTOAcPrqAGd1CHJjAYwDO8wpsjnRfn3flYtBacfOY/sj5/AFM4o3L</latexit><latexit sha1_base64="NCGRv2Cyz/2TMJXOjyYcCTL/kGY=">AB6nicbZBNSwMxEIZn61etX1WPXoJF8FR2RdBj0YvHFm0tEvJptk2NJvdJrNCWfoTvHhQxKu/yJv/xrTdg7a+EHh4Z4bMvEihUHX/XYKa+sbm1vF7dLO7t7+QfnwqGXiVDPeZLGMdTughkuheBMFSt5ONKdRIPljMLqd1R+fuDYiVg84Sbgf0YESoWAUrXU/Hjd65Ypbdeciq+DlUIFc9V75q9uPWRpxhUxSYzqem6CfUY2CST4tdVPDE8pGdMA7FhWNuPGz+apTcmadPgljbZ9CMnd/T2Q0MmYSBbYzojg0y7WZ+V+tk2J47WdCJSlyxRYfhakGJPZ3aQvNGcoJxYo08LuStiQasrQplOyIXjLJ69C6LqW5cVmo3eRxFOIFTOAcPrqAGd1CHJjAYwDO8wpsjnRfn3flYtBacfOY/sj5/AFM4o3L</latexit>Ξb, Σb, Ωc
<latexit sha1_base64="oWNg7/Xf9glQqbrZ0DAyODG3DS0=">ACAnicbZDLSsNAFIYnXmu9RV2Jm8EiuJCSiKDLoht3VrQXaEKYTCfp0JlJmJkIJRQ3vobF4q49Snc+TZO0y09YeBj/+cw5nzhymjSjvOt7WwuLS8slpZq65vbG5t2zu7bZVkEpMWTlgiuyFShFBWpqRrqpJIiHjHTC4dWk3nkgUtFE3OtRSnyOYkEjipE2VmDve10ahCfQu6MxRwXdcBKjAd2zak7heA8uCXUQKlmYH95/QRnAiNGVKq5zqp9nMkNcWMjKtepkiK8BDFpGdQIE6UnxcnjOGRcfowSqR5QsPC/T2RI67UiIemkyM9ULO1iflfrZfp6MLPqUgzTQSeLoyBnUCJ3nAPpUEazYygLCk5q8QD5BEWJvUqiYEd/bkeWif1l3Dt2e1xmUZRwUcgENwDFxwDhrgGjRBC2DwCJ7BK3iznqwX6936mLYuWOXMHvgj6/MHeQaWMA=</latexit><latexit sha1_base64="oWNg7/Xf9glQqbrZ0DAyODG3DS0=">ACAnicbZDLSsNAFIYnXmu9RV2Jm8EiuJCSiKDLoht3VrQXaEKYTCfp0JlJmJkIJRQ3vobF4q49Snc+TZO0y09YeBj/+cw5nzhymjSjvOt7WwuLS8slpZq65vbG5t2zu7bZVkEpMWTlgiuyFShFBWpqRrqpJIiHjHTC4dWk3nkgUtFE3OtRSnyOYkEjipE2VmDve10ahCfQu6MxRwXdcBKjAd2zak7heA8uCXUQKlmYH95/QRnAiNGVKq5zqp9nMkNcWMjKtepkiK8BDFpGdQIE6UnxcnjOGRcfowSqR5QsPC/T2RI67UiIemkyM9ULO1iflfrZfp6MLPqUgzTQSeLoyBnUCJ3nAPpUEazYygLCk5q8QD5BEWJvUqiYEd/bkeWif1l3Dt2e1xmUZRwUcgENwDFxwDhrgGjRBC2DwCJ7BK3iznqwX6936mLYuWOXMHvgj6/MHeQaWMA=</latexit><latexit sha1_base64="oWNg7/Xf9glQqbrZ0DAyODG3DS0=">ACAnicbZDLSsNAFIYnXmu9RV2Jm8EiuJCSiKDLoht3VrQXaEKYTCfp0JlJmJkIJRQ3vobF4q49Snc+TZO0y09YeBj/+cw5nzhymjSjvOt7WwuLS8slpZq65vbG5t2zu7bZVkEpMWTlgiuyFShFBWpqRrqpJIiHjHTC4dWk3nkgUtFE3OtRSnyOYkEjipE2VmDve10ahCfQu6MxRwXdcBKjAd2zak7heA8uCXUQKlmYH95/QRnAiNGVKq5zqp9nMkNcWMjKtepkiK8BDFpGdQIE6UnxcnjOGRcfowSqR5QsPC/T2RI67UiIemkyM9ULO1iflfrZfp6MLPqUgzTQSeLoyBnUCJ3nAPpUEazYygLCk5q8QD5BEWJvUqiYEd/bkeWif1l3Dt2e1xmUZRwUcgENwDFxwDhrgGjRBC2DwCJ7BK3iznqwX6936mLYuWOXMHvgj6/MHeQaWMA=</latexit><latexit sha1_base64="oWNg7/Xf9glQqbrZ0DAyODG3DS0=">ACAnicbZDLSsNAFIYnXmu9RV2Jm8EiuJCSiKDLoht3VrQXaEKYTCfp0JlJmJkIJRQ3vobF4q49Snc+TZO0y09YeBj/+cw5nzhymjSjvOt7WwuLS8slpZq65vbG5t2zu7bZVkEpMWTlgiuyFShFBWpqRrqpJIiHjHTC4dWk3nkgUtFE3OtRSnyOYkEjipE2VmDve10ahCfQu6MxRwXdcBKjAd2zak7heA8uCXUQKlmYH95/QRnAiNGVKq5zqp9nMkNcWMjKtepkiK8BDFpGdQIE6UnxcnjOGRcfowSqR5QsPC/T2RI67UiIemkyM9ULO1iflfrZfp6MLPqUgzTQSeLoyBnUCJ3nAPpUEazYygLCk5q8QD5BEWJvUqiYEd/bkeWif1l3Dt2e1xmUZRwUcgENwDFxwDhrgGjRBC2DwCJ7BK3iznqwX6936mLYuWOXMHvgj6/MHeQaWMA=</latexit>ωρ >> ωλ
<latexit sha1_base64="9CUdq/0zyNv1Czl0O1PhsE/y+AQ=">ACBXicbVC7TsMwFL0pr1JeAUYLAoSU5WwFRVsDAWiT6kNoc12mtOnFkO0hV1IWFX2FhAKGu8A1sfAg7gMJWo5k6fice69T5BwprTjfFq5peWV1bX8emFjc2t7x97dqyuRSkJrRHAhmwFWlLOY1jTnDYTSXEUcNoI+ldjv3FHpWIivtWDhHoR7sYsZARrI/n2YVtEtIv9tuwJVC7/3LiZ0MG+XRKzgRokbgzUqwcf43eAaDq2x/tjiBpRGNOFaq5TqJ9jIsNSOcDgvtVNEkz7u0pahMY6o8rLJFkN0YpQOCoU0J9Zov7uyHCk1CAKTGWEdU/Ne2PxP6+V6vDCy1icpJrGZPpQmHKkBRpHgjpMUqL5wBMJDN/RaSHJSbaBFcwIbjzKy+S+lnJNfzGpHEJU+ThAI7gFw4hwpcQxVqQOAeHuEZXqwH68l6tUbT0pw169mHP7DevgHbrZsU</latexit><latexit sha1_base64="8a56TCOWFeX8j3DRqm74FG6Z89o=">ACBXicbVC7TsMwFHV4lpZHgBEGi4LEVCUsMFUVLIxFog+pqSLHcVqrdhzZTqUq6sLCr7AwgFBXBv6AjQ+BGfeBC1HsnR8zr3XvidIGFXacT6speWV1bX13Ea+sLm1vWPv7tWVSCUmNSyYkM0AKcJoTGqakaiSIB4w0gt7V2G/0iVRUxLd6kJA2R52YRhQjbSTfPvQEJx3ke7IrYLn8c2NmQoh8u+iUnAngInFnpFg5/hy9QtfVd9+90KBU05ijRlSquU6iW5nSGqKGRnmvVSRBOEe6pCWoTHiRLWzyRZDeGKUEZCmhNrOF/d2SIKzXgankSHfVvDcW/NaqY4u2hmNk1STGE8filIGtYDjSGBIJcGaDQxBWFLzV4i7SCKsTXB5E4I7v/IiqZ+VXMNvTBqXYIocOABH4BS4BxUwDWoghrA4A48gCfwbN1bj9aLNZqWLlmzn3wB9brN9RNnI4=</latexit><latexit sha1_base64="8a56TCOWFeX8j3DRqm74FG6Z89o=">ACBXicbVC7TsMwFHV4lpZHgBEGi4LEVCUsMFUVLIxFog+pqSLHcVqrdhzZTqUq6sLCr7AwgFBXBv6AjQ+BGfeBC1HsnR8zr3XvidIGFXacT6speWV1bX13Ea+sLm1vWPv7tWVSCUmNSyYkM0AKcJoTGqakaiSIB4w0gt7V2G/0iVRUxLd6kJA2R52YRhQjbSTfPvQEJx3ke7IrYLn8c2NmQoh8u+iUnAngInFnpFg5/hy9QtfVd9+90KBU05ijRlSquU6iW5nSGqKGRnmvVSRBOEe6pCWoTHiRLWzyRZDeGKUEZCmhNrOF/d2SIKzXgankSHfVvDcW/NaqY4u2hmNk1STGE8filIGtYDjSGBIJcGaDQxBWFLzV4i7SCKsTXB5E4I7v/IiqZ+VXMNvTBqXYIocOABH4BS4BxUwDWoghrA4A48gCfwbN1bj9aLNZqWLlmzn3wB9brN9RNnI4=</latexit><latexit sha1_base64="IFqBajRW5J3h1uNQsNRu8MV58jM=">ACBXicbVDLSgMxFM3UV62vUZe6CBbBVZlxo6tSdOygn1AZxgymbQNzWNIMkIZunHjr7hxoYhb/8Gdf2PajqCtBwIn59x7k3vilFtPO/LKa2srq1vlDcrW9s7u3vu/kFby0xh0sKSdWNkSaMCtIy1DSTRVBPGakE4+up37nihNpbgz45SEHA0E7VOMjJUi9ziQnAxQFKihPX6z43ZCQmK3KpX82aAy8QvSBUaEbuZ5BInHEiDGZI657vpSbMkTIUMzKpBJkmKcIjNCA9SwXiRIf5bIsJPLVKAvtS2SMnKm/O3LEtR7z2FZyZIZ60ZuK/3m9zPQvw5yKNDNE4PlD/YxBI+E0EphQRbBhY0sQVtT+FeIhUgbG1zFhuAvrxM2uc13/Jbr9q4KuIogyNwAs6ADy5A9yAJmgBDB7AE3gBr86j8+y8Oe/z0pJT9ByCP3A+vgERTJhF</latexit>λ
<latexit sha1_base64="engOUMKQmXUTNJ7St06p7fNnNF4=">AB7nicbZC7SgNBFIbPxluMt6ilzWAQrMKujTZi0MYygrlAsoSzs7PJkNnZWZWCEvAV7CxUMTWN7G382cXApN/GHg4/PYc45QSq4Nq7RWVtfWN4qbpa3tnd298v5BUyeZoqxBE5GodoCaCS5Zw3AjWDtVDONAsFYwvJnkrQemNE/kvRmlzI+xL3nEKRprtbrClobYK1fcqjsVWQZvDpWrz9LlIwDUe+WvbpjQLGbSUIFadzw3NX6OynAq2LjUzTRLkQ6xzoWJcZM+/l03DE5sU5IokTZJw2Zur87coy1HsWBrYzRDPRiNjH/yzqZiS78nMs0M0zS2UdRJohJyGR3EnLFqBEjC0gVt7MSOkCF1NgLlewRvMWVl6F5VvUs37mV2jXMVIQjOIZT8OAcanALdWgAhSE8wQu8Oqnz7Lw57PSgjPvOYQ/cj5+AKq/kUY=</latexit><latexit sha1_base64="iMAJZ+TLydoD7OapQPXbwMIfxio=">AB7nicbZC7SgNBFIbPxltcb1FLm8EgWIVdG9OIQRvLCOYCyRJmZ2eTIbOzw8ysEJY8hI2FIhY2vom9jfg2Ti6FJv4w8PH/5zDnFBypo3nfTuFldW19Y3ipru1vbO7V9o/aOo0U4Q2SMpT1Q6xpwJ2jDMcNqWiuIk5LQVDq8neueKs1ScWdGkgYJ7gsWM4KNtVpdbksj3CuVvYo3FVoGfw7lyw/3Qr59ufVe6bMbpSRLqDCEY607vidNkGNlGOF07HYzTSUmQ9ynHYsCJ1QH+XTcMTqxToTiVNknDJq6vztynGg9SkJbmWAz0IvZxPwv62QmrgY5EzIzVJDZR3HGkUnRZHcUMUWJ4SMLmChmZ0VkgBUmxl7ItUfwF1dehuZxbd865VrVzBTEY7gGE7Bh3OowQ3UoQEhvAT/DsSOfReXFeZ6UFZ95zCH/kvP8AnE6Sug=</latexit><latexit sha1_base64="iMAJZ+TLydoD7OapQPXbwMIfxio=">AB7nicbZC7SgNBFIbPxltcb1FLm8EgWIVdG9OIQRvLCOYCyRJmZ2eTIbOzw8ysEJY8hI2FIhY2vom9jfg2Ti6FJv4w8PH/5zDnFBypo3nfTuFldW19Y3ipru1vbO7V9o/aOo0U4Q2SMpT1Q6xpwJ2jDMcNqWiuIk5LQVDq8neueKs1ScWdGkgYJ7gsWM4KNtVpdbksj3CuVvYo3FVoGfw7lyw/3Qr59ufVe6bMbpSRLqDCEY607vidNkGNlGOF07HYzTSUmQ9ynHYsCJ1QH+XTcMTqxToTiVNknDJq6vztynGg9SkJbmWAz0IvZxPwv62QmrgY5EzIzVJDZR3HGkUnRZHcUMUWJ4SMLmChmZ0VkgBUmxl7ItUfwF1dehuZxbd865VrVzBTEY7gGE7Bh3OowQ3UoQEhvAT/DsSOfReXFeZ6UFZ95zCH/kvP8AnE6Sug=</latexit><latexit sha1_base64="6ObE19eXP+7Ue0QDT+3g5WUAFCY=">AB7nicbVBNS8NAFHypX7V+VT16WSyCp5J40WPRi8cKpi20obxsNu3SzSbsboQS+iO8eFDEq7/Hm/GbZuDtg4sDPz2PcmzATXxnW/ncrG5tb2TnW3trd/cHhUPz7p6DRXlPk0FanqhaiZ4JL5hvBeplimISCdcPJ3dzvPjGleSofzTRjQYIjyWNO0VipOxA2GuGw3nCb7gJknXglaUCJ9rD+NYhSmidMGipQ67nZiYoUBlOBZvVBrlmGdIJjljfUokJ0GxWHdGLqwSkThV9klDFurviQITradJaJMJmrFe9ebif14/N/FNUHCZ5YZJuvwozgUxKZnfTiKuGDViaglSxe2uhI5RITW2oZotwVs9eZ10rpqe5Q9uo3Vb1lGFMziHS/DgGlpwD23wgcIEnuEV3pzMeXHenY9ltOKUM6fwB87nDzuHj3k=</latexit>QQq
<latexit sha1_base64="1ACSNVcV/LjX3bnvbAbJzgVLG4=">AB6nicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxRfsBbSib7aZdutnE3YlQn+CFw+KePUXefPfuG1z0NYXFh7emWFn3iCRwqDrfjuFtfWNza3idmlnd2/oHx41DJxqhlvsljGuhNQw6VQvIkCJe8kmtMokLwdjG9n9fYT10bE6gEnCfcjOlQiFIyite4bjcd+ueJW3bnIKng5VCBXvV/+6g1ilkZcIZPUmK7nJuhnVKNgk9LvdTwhLIxHfKuRUjbvxsvuqUnFlnQMJY26eQzN3fExmNjJlEge2MKI7Mcm1m/lfrphe+5lQSYpcscVHYSoJxmR2NxkIzRnKiQXKtLC7EjaimjK06ZRsCN7yavQuqh6lhuXldpNHkcRTuAUzsGDK6jBHdShCQyG8Ayv8OZI58V5dz4WrQUnzmGP3I+fwAcAo2r</latexit><latexit sha1_base64="1ACSNVcV/LjX3bnvbAbJzgVLG4=">AB6nicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxRfsBbSib7aZdutnE3YlQn+CFw+KePUXefPfuG1z0NYXFh7emWFn3iCRwqDrfjuFtfWNza3idmlnd2/oHx41DJxqhlvsljGuhNQw6VQvIkCJe8kmtMokLwdjG9n9fYT10bE6gEnCfcjOlQiFIyite4bjcd+ueJW3bnIKng5VCBXvV/+6g1ilkZcIZPUmK7nJuhnVKNgk9LvdTwhLIxHfKuRUjbvxsvuqUnFlnQMJY26eQzN3fExmNjJlEge2MKI7Mcm1m/lfrphe+5lQSYpcscVHYSoJxmR2NxkIzRnKiQXKtLC7EjaimjK06ZRsCN7yavQuqh6lhuXldpNHkcRTuAUzsGDK6jBHdShCQyG8Ayv8OZI58V5dz4WrQUnzmGP3I+fwAcAo2r</latexit><latexit sha1_base64="1ACSNVcV/LjX3bnvbAbJzgVLG4=">AB6nicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxRfsBbSib7aZdutnE3YlQn+CFw+KePUXefPfuG1z0NYXFh7emWFn3iCRwqDrfjuFtfWNza3idmlnd2/oHx41DJxqhlvsljGuhNQw6VQvIkCJe8kmtMokLwdjG9n9fYT10bE6gEnCfcjOlQiFIyite4bjcd+ueJW3bnIKng5VCBXvV/+6g1ilkZcIZPUmK7nJuhnVKNgk9LvdTwhLIxHfKuRUjbvxsvuqUnFlnQMJY26eQzN3fExmNjJlEge2MKI7Mcm1m/lfrphe+5lQSYpcscVHYSoJxmR2NxkIzRnKiQXKtLC7EjaimjK06ZRsCN7yavQuqh6lhuXldpNHkcRTuAUzsGDK6jBHdShCQyG8Ayv8OZI58V5dz4WrQUnzmGP3I+fwAcAo2r</latexit><latexit sha1_base64="1ACSNVcV/LjX3bnvbAbJzgVLG4=">AB6nicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxRfsBbSib7aZdutnE3YlQn+CFw+KePUXefPfuG1z0NYXFh7emWFn3iCRwqDrfjuFtfWNza3idmlnd2/oHx41DJxqhlvsljGuhNQw6VQvIkCJe8kmtMokLwdjG9n9fYT10bE6gEnCfcjOlQiFIyite4bjcd+ueJW3bnIKng5VCBXvV/+6g1ilkZcIZPUmK7nJuhnVKNgk9LvdTwhLIxHfKuRUjbvxsvuqUnFlnQMJY26eQzN3fExmNjJlEge2MKI7Mcm1m/lfrphe+5lQSYpcscVHYSoJxmR2NxkIzRnKiQXKtLC7EjaimjK06ZRsCN7yavQuqh6lhuXldpNHkcRTuAUzsGDK6jBHdShCQyG8Ayv8OZI58V5dz4WrQUnzmGP3I+fwAcAo2r</latexit>Ξcc
<latexit sha1_base64="7OrNUyB5V65xI1fIZwyDp3jVs=">AB73icbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxgm0DbSib7aRdutnE3Y1Qv+EFw+KePXvePfuG1z0NYXFh7emWFn3jAVXBvX/XZKa+sbm1vl7crO7t7+QfXwqK2TDFsUQkyg+pRsEltgw3Av1UIY1DgZ1wfDurd5QaZ7IBzNJMYjpUPKIM2qs5fd83s8Zm/arNbfuzkVWwSugBoWa/epXb5CwLEZpmKBadz03NUFOleFM4LTSyzSmlI3pELsWJY1RB/l83yk5s86ARImyTxoyd39P5DTWehKHtjOmZqSXazPzv1o3M9F1kHOZgYlW3wUZYKYhMyOJwOukBkxsUCZ4nZXwkZUWZsRBUbgrd8iq0L+qe5fvLWuOmiKMJ3AK5+DBFTgDprQAgYCnuEV3pxH58V5dz4WrSWnmDmGP3I+fwAhupAE</latexit><latexit sha1_base64="7OrNUyB5V65xI1fIZwyDp3jVs=">AB73icbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxgm0DbSib7aRdutnE3Y1Qv+EFw+KePXvePfuG1z0NYXFh7emWFn3jAVXBvX/XZKa+sbm1vl7crO7t7+QfXwqK2TDFsUQkyg+pRsEltgw3Av1UIY1DgZ1wfDurd5QaZ7IBzNJMYjpUPKIM2qs5fd83s8Zm/arNbfuzkVWwSugBoWa/epXb5CwLEZpmKBadz03NUFOleFM4LTSyzSmlI3pELsWJY1RB/l83yk5s86ARImyTxoyd39P5DTWehKHtjOmZqSXazPzv1o3M9F1kHOZgYlW3wUZYKYhMyOJwOukBkxsUCZ4nZXwkZUWZsRBUbgrd8iq0L+qe5fvLWuOmiKMJ3AK5+DBFTgDprQAgYCnuEV3pxH58V5dz4WrSWnmDmGP3I+fwAhupAE</latexit><latexit sha1_base64="7OrNUyB5V65xI1fIZwyDp3jVs=">AB73icbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxgm0DbSib7aRdutnE3Y1Qv+EFw+KePXvePfuG1z0NYXFh7emWFn3jAVXBvX/XZKa+sbm1vl7crO7t7+QfXwqK2TDFsUQkyg+pRsEltgw3Av1UIY1DgZ1wfDurd5QaZ7IBzNJMYjpUPKIM2qs5fd83s8Zm/arNbfuzkVWwSugBoWa/epXb5CwLEZpmKBadz03NUFOleFM4LTSyzSmlI3pELsWJY1RB/l83yk5s86ARImyTxoyd39P5DTWehKHtjOmZqSXazPzv1o3M9F1kHOZgYlW3wUZYKYhMyOJwOukBkxsUCZ4nZXwkZUWZsRBUbgrd8iq0L+qe5fvLWuOmiKMJ3AK5+DBFTgDprQAgYCnuEV3pxH58V5dz4WrSWnmDmGP3I+fwAhupAE</latexit><latexit sha1_base64="7OrNUyB5V65xI1fIZwyDp3jVs=">AB73icbZBNS8NAEIYn9avWr6pHL4tF8FQSEfRY9OKxgm0DbSib7aRdutnE3Y1Qv+EFw+KePXvePfuG1z0NYXFh7emWFn3jAVXBvX/XZKa+sbm1vl7crO7t7+QfXwqK2TDFsUQkyg+pRsEltgw3Av1UIY1DgZ1wfDurd5QaZ7IBzNJMYjpUPKIM2qs5fd83s8Zm/arNbfuzkVWwSugBoWa/epXb5CwLEZpmKBadz03NUFOleFM4LTSyzSmlI3pELsWJY1RB/l83yk5s86ARImyTxoyd39P5DTWehKHtjOmZqSXazPzv1o3M9F1kHOZgYlW3wUZYKYhMyOJwOukBkxsUCZ4nZXwkZUWZsRBUbgrd8iq0L+qe5fvLWuOmiKMJ3AK5+DBFTgDprQAgYCnuEV3pxH58V5dz4WrSWnmDmGP3I+fwAhupAE</latexit>ωλ > ωρ
<latexit sha1_base64="YS5YMvDVvP1flWyI1vG24RoeJAk=">ACA3icbVBLSwMxGMzWV62vVW96CRbBU9kVQU9S9OKxgn1AuyzZbLYNzWNJskJZCl78K148KOLVP+HNf2ParqCtA4HJzDck30Qpo9p43pdTWlpeWV0r1c2Nre2d9zdvZaWmcKkiSWTqhMhTRgVpGmoYaSTKoJ4xEg7Gl5P/PY9UZpKcWdGKQk46guaUIyMlUL3oCc56aOwx2wmRpc/VzWQoVv1at4UcJH4BamCAo3Q/ezFEmecCIMZ0re6kJcqQMxYyMK71MkxThIeqTrqUCcaKDfLrDGB5bJYaJVPYIA6fq70SOuNYjHtlJjsxAz3sT8T+vm5nkIsipSDNDBJ49lGQMGgknhcCYKoING1mCsKL2rxAPkELY2NoqtgR/fuVF0jqt+ZbfnlXrV0UdZXAIjsAJ8ME5qIMb0ABNgMEDeAIv4NV5dJ6dN+d9Nlpyisw+APn4xsqUJfX</latexit><latexit sha1_base64="YS5YMvDVvP1flWyI1vG24RoeJAk=">ACA3icbVBLSwMxGMzWV62vVW96CRbBU9kVQU9S9OKxgn1AuyzZbLYNzWNJskJZCl78K148KOLVP+HNf2ParqCtA4HJzDck30Qpo9p43pdTWlpeWV0r1c2Nre2d9zdvZaWmcKkiSWTqhMhTRgVpGmoYaSTKoJ4xEg7Gl5P/PY9UZpKcWdGKQk46guaUIyMlUL3oCc56aOwx2wmRpc/VzWQoVv1at4UcJH4BamCAo3Q/ezFEmecCIMZ0re6kJcqQMxYyMK71MkxThIeqTrqUCcaKDfLrDGB5bJYaJVPYIA6fq70SOuNYjHtlJjsxAz3sT8T+vm5nkIsipSDNDBJ49lGQMGgknhcCYKoING1mCsKL2rxAPkELY2NoqtgR/fuVF0jqt+ZbfnlXrV0UdZXAIjsAJ8ME5qIMb0ABNgMEDeAIv4NV5dJ6dN+d9Nlpyisw+APn4xsqUJfX</latexit><latexit sha1_base64="YS5YMvDVvP1flWyI1vG24RoeJAk=">ACA3icbVBLSwMxGMzWV62vVW96CRbBU9kVQU9S9OKxgn1AuyzZbLYNzWNJskJZCl78K148KOLVP+HNf2ParqCtA4HJzDck30Qpo9p43pdTWlpeWV0r1c2Nre2d9zdvZaWmcKkiSWTqhMhTRgVpGmoYaSTKoJ4xEg7Gl5P/PY9UZpKcWdGKQk46guaUIyMlUL3oCc56aOwx2wmRpc/VzWQoVv1at4UcJH4BamCAo3Q/ezFEmecCIMZ0re6kJcqQMxYyMK71MkxThIeqTrqUCcaKDfLrDGB5bJYaJVPYIA6fq70SOuNYjHtlJjsxAz3sT8T+vm5nkIsipSDNDBJ49lGQMGgknhcCYKoING1mCsKL2rxAPkELY2NoqtgR/fuVF0jqt+ZbfnlXrV0UdZXAIjsAJ8ME5qIMb0ABNgMEDeAIv4NV5dJ6dN+d9Nlpyisw+APn4xsqUJfX</latexit><latexit sha1_base64="YS5YMvDVvP1flWyI1vG24RoeJAk=">ACA3icbVBLSwMxGMzWV62vVW96CRbBU9kVQU9S9OKxgn1AuyzZbLYNzWNJskJZCl78K148KOLVP+HNf2ParqCtA4HJzDck30Qpo9p43pdTWlpeWV0r1c2Nre2d9zdvZaWmcKkiSWTqhMhTRgVpGmoYaSTKoJ4xEg7Gl5P/PY9UZpKcWdGKQk46guaUIyMlUL3oCc56aOwx2wmRpc/VzWQoVv1at4UcJH4BamCAo3Q/ezFEmecCIMZ0re6kJcqQMxYyMK71MkxThIeqTrqUCcaKDfLrDGB5bJYaJVPYIA6fq70SOuNYjHtlJjsxAz3sT8T+vm5nkIsipSDNDBJ49lGQMGgknhcCYKoING1mCsKL2rxAPkELY2NoqtgR/fuVF0jqt+ZbfnlXrV0UdZXAIjsAJ8ME5qIMb0ABNgMEDeAIv4NV5dJ6dN+d9Nlpyisw+APn4xsqUJfX</latexit>ρ
<latexit sha1_base64="yXjtFj01ayGEtbxyWlOC8kSd3g=">AB63icbZDLSsNAFIZP6q3W9Wlm8EiuCqJCLosunFZwdZCG8pkOmGziXMTIQS+gpuXCji1hdy59s4abPQ1h8GPv5zDnPOH6WcGev7315lbX1jc6u6XdvZ3ds/qB8edY3KNKEdorjSvQgbypmkHcsp71UywiTh+jyW1Rf3yi2jAlH+w0paHAY8liRrAtrIFO1LDe8Jv+XGgVghIaUKo9rH8NRopkgkpLODamH/ipDXOsLSOczmqDzNAUkwke075DiQU1YT7fdYbOnDNCsdLuSYvm7u+JHAtjpiJynQLbxCzXCvO/Wj+z8XWYM5lmlkqy+CjOLIKFYejEdOUWD51gIlmbldEqwxsS6emgshWD5FboXzcDx/WjdVPGUYUTOIVzCOAKWnAHbegAgQSe4RXePOG9eO/ex6K14pUzx/BH3ucPH6ORw=</latexit><latexit sha1_base64="yXjtFj01ayGEtbxyWlOC8kSd3g=">AB63icbZDLSsNAFIZP6q3W9Wlm8EiuCqJCLosunFZwdZCG8pkOmGziXMTIQS+gpuXCji1hdy59s4abPQ1h8GPv5zDnPOH6WcGev7315lbX1jc6u6XdvZ3ds/qB8edY3KNKEdorjSvQgbypmkHcsp71UywiTh+jyW1Rf3yi2jAlH+w0paHAY8liRrAtrIFO1LDe8Jv+XGgVghIaUKo9rH8NRopkgkpLODamH/ipDXOsLSOczmqDzNAUkwke075DiQU1YT7fdYbOnDNCsdLuSYvm7u+JHAtjpiJynQLbxCzXCvO/Wj+z8XWYM5lmlkqy+CjOLIKFYejEdOUWD51gIlmbldEqwxsS6emgshWD5FboXzcDx/WjdVPGUYUTOIVzCOAKWnAHbegAgQSe4RXePOG9eO/ex6K14pUzx/BH3ucPH6ORw=</latexit><latexit sha1_base64="yXjtFj01ayGEtbxyWlOC8kSd3g=">AB63icbZDLSsNAFIZP6q3W9Wlm8EiuCqJCLosunFZwdZCG8pkOmGziXMTIQS+gpuXCji1hdy59s4abPQ1h8GPv5zDnPOH6WcGev7315lbX1jc6u6XdvZ3ds/qB8edY3KNKEdorjSvQgbypmkHcsp71UywiTh+jyW1Rf3yi2jAlH+w0paHAY8liRrAtrIFO1LDe8Jv+XGgVghIaUKo9rH8NRopkgkpLODamH/ipDXOsLSOczmqDzNAUkwke075DiQU1YT7fdYbOnDNCsdLuSYvm7u+JHAtjpiJynQLbxCzXCvO/Wj+z8XWYM5lmlkqy+CjOLIKFYejEdOUWD51gIlmbldEqwxsS6emgshWD5FboXzcDx/WjdVPGUYUTOIVzCOAKWnAHbegAgQSe4RXePOG9eO/ex6K14pUzx/BH3ucPH6ORw=</latexit><latexit sha1_base64="yXjtFj01ayGEtbxyWlOC8kSd3g=">AB63icbZDLSsNAFIZP6q3W9Wlm8EiuCqJCLosunFZwdZCG8pkOmGziXMTIQS+gpuXCji1hdy59s4abPQ1h8GPv5zDnPOH6WcGev7315lbX1jc6u6XdvZ3ds/qB8edY3KNKEdorjSvQgbypmkHcsp71UywiTh+jyW1Rf3yi2jAlH+w0paHAY8liRrAtrIFO1LDe8Jv+XGgVghIaUKo9rH8NRopkgkpLODamH/ipDXOsLSOczmqDzNAUkwke075DiQU1YT7fdYbOnDNCsdLuSYvm7u+JHAtjpiJynQLbxCzXCvO/Wj+z8XWYM5lmlkqy+CjOLIKFYejEdOUWD51gIlmbldEqwxsS6emgshWD5FboXzcDx/WjdVPGUYUTOIVzCOAKWnAHbegAgQSe4RXePOG9eO/ex6K14pUzx/BH3ucPH6ORw=</latexit>HEAVY BARYONS PENTAQUARKS
configuraciones no pueden ser excitadas en foto-producción tales como perteneciente al decuplete de SU(3).
photoproduc5on experiments.
muy alto, se 5ene un factor de supresion muy grande al fotoacoplamiento debido a la parte orbital. Dis5nguiss between heavy and light quarks is work in progress.