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Bremsstrahlung polarization correlations and their application for polarimetry of electron beams Stanislav Tashenov Physikalisches Institut of Heidelberg University H s j = 3/2 l s l F 1 n = 2 l = 1 j = 1/2 H l s l s F 2 Gross Fine


  1. Bremsstrahlung polarization correlations and their application for polarimetry of electron beams Stanislav Tashenov Physikalisches Institut of Heidelberg University H s j = 3/2 l s l F 1 n = 2 l = 1 j = 1/2 H l s l s F 2 Gross Fine structure structure The Spin-Orbit interaction ★ modifies the effective binding potential ★ causes the Fine Structure splitting

  2. Spin dynamics in Coulomb scattering and bremsstrahlung V so ∝ ~ L · ~ S s F 2 l The spin-orbit interaction causes the Mott scattering asymmetry when l || s l s F 1

  3. Spin dynamics in Coulomb scattering and bremsstrahlung V so ∝ ~ L · ~ S s F 2 l The spin-orbit interaction causes the Mott scattering asymmetry when l || s Similar asymmetry is observed in the emitted bremsstrahlung photons l s F 1

  4. Spin dynamics in Coulomb scattering and bremsstrahlung V so ∝ ~ L · ~ S s F l H When the spin and the orbital momentum are not parallel, they both precess about the total orbital momentum J

  5. Spin dynamics in Coulomb scattering and bremsstrahlung d ~ S V so ∝ ~ L · ~ dt ∝ ~ L × ~ S S s F l H When the spin and the orbital momentum are not parallel, they both precess about the total orbital momentum J

  6. Spin dynamics in Coulomb scattering and bremsstrahlung d ~ S V so ∝ ~ L · ~ dt ∝ ~ L × ~ S S s F l H When the spin and the orbital momentum are not parallel, they both precess about the total orbital momentum J � � �

  7. Spin dynamics in Coulomb scattering and bremsstrahlung d ~ S V so ∝ ~ L · ~ dt ∝ ~ L × ~ S S s F l H When the spin and the orbital momentum are not parallel, they both precess about the total orbital momentum J � � � � The scattering plane at any moment is defined by the orbital momentum L � � � Precession of L corresponds to the precession of the instantaneous scattering plane

  8. Polarization of bremsstrahlung radiation ��������������� � ���������� � � ��������������� �������� ������������������ ������ ���������� ���������������� � ������� ��������� � �������������� �������� Bremsstrahlung photon is: ★ emitted close to the nucleus ★ polarized within the scattering plane at that moment

  9. Bremsstrahlung studies at electron accelerators with polarised beams Mainz University

  10. Rayleigh and Compton polarimetry techniques (Electron energy 100 keV) ������������������������ �������� ��������� ���������� � � ���������������������� X-rays scatter predominantly perpendicular to the polarization plane Planar segmented germanium detector � S. Tashenov et al., PRL 107, 173201 (2011) S. Tashenov et al., NIM A 600 (2009) 599

  11. Rayleigh and Compton polarimetry techniques (Electron energy 100 keV) ������������������������ �������� ���������� ������������� ������ �������������� � � ������� �� ����������� � � ������������� �� � ��������������� � ������������� Experiment at the polarized electron � injector of S-DALINAC accelerator in TU-Darmstadt Polarization angle resolution 0.3 deg S. Tashenov et al., PRL 107, 173201 (2011) S. Tashenov et al., NIM A 600 (2009) 599

  12. Measurement of bremsstrahlung polarization correlations (Electron energy 100 keV) ������������������������ c �������� ���������� ������������� photon polarization angle (deg) ������ 6 �������������� � � 4 ������� 2 �� ����������� 0 � -2 � ������������� �� -4 � ��������������� -6 � 0 60 120 180 240 300 360 ������������� � electron spin angle (deg)

  13. Summary of the results (Electron energy 100 keV) c transverse spin photon polarization angle (deg) 6 4 2 0 -2 -4 -6 longitudinal spin 0 60 120 180 240 300 360 - electron spin angle (deg) S. Tashenov et al., Phys. Rev. Lett. 107, 173201 (2011) S. Tashenov et al., Phys. Rev. A 87, 022707 (2013) � R. Märtin et al., Phys. Rev. Lett. 108, 264801 (2012) � V. Yerokhin and A. Surzhykov, Phys. Rev. A 82, 062702 (2010)

  14. Stokes parameters

  15. y photon a S p o l a x r i z a z t i o n reaction plane p l a n e χ n o c t r e e l θ 3.5 0.10 0.8 0.30 100 keV 3.0 2 σ /(dkd Ω κ ) (1,0,0) 0.05 0.25 (0,1,0) 0.6 2.5 C 20 0.00 0.20 100 keV d σ 2.0 C 20 P 1 P 2 -0.05 0.4 (0,0,0) 0.15 )d 1.5 2 -0.10 0.10 1.0 (k/Z (0,0,1) 0.2 -0.15 0.05 0.5 -0.20 0.0 0.00 0 30 60 90 120 150 180 0 30 60 90 120 150 180 0 30 60 90 120 150 180 photon emission angle θ (deg) photon emission angle θ (deg) photon emission angle θ (deg) 1 0.6 0.4 10 0.8 2 MeV 0.3 0 2 σ /(dkd Ω κ ) 10 0.6 0.4 0.2 -1 2 MeV 10 0.4 0.1 0.2 C 20 P 1 P 2 -2 2 )d 10 0.2 0.0 0.0 (k/Z -0.1 -3 0.0 10 -0.2 -0.2 -4 -0.2 10 0 30 60 90 120 150 180 0 30 60 90 120 150 180 0 30 60 90 120 150 180 θ (deg) photon emission angle θ (deg) θ (deg) photon emission angle photon emission angle S. Tashenov et al., Phys. Rev. A 87, 022707 (2013)

  16. y photon a S p o l a x r i z a z t i o n reaction plane p l a n e χ n o c t r e e l θ 3.5 0.10 0.8 0.30 100 keV 3.0 2 σ /(dkd Ω κ ) (1,0,0) 0.05 0.25 (0,1,0) 0.6 2.5 C 20 0.00 0.20 100 keV d σ 2.0 C 20 P 1 P 2 -0.05 0.4 (0,0,0) 0.15 )d 1.5 2 -0.10 0.10 1.0 (k/Z (0,0,1) 0.2 -0.15 0.05 0.5 -0.20 0.0 0.00 0 30 60 90 120 150 180 0 30 60 90 120 150 180 0 30 60 90 120 150 180 photon emission angle θ (deg) photon emission angle θ (deg) photon emission angle θ (deg) 1 0.6 0.4 10 0.8 2 MeV 0.3 0 2 σ /(dkd Ω κ ) 10 0.6 0.4 0.2 -1 2 MeV 10 0.4 0.1 0.2 C 20 P 1 P 2 -2 2 )d 10 0.2 0.0 0.0 (k/Z -0.1 -3 0.0 10 -0.2 -0.2 -4 -0.2 10 0 30 60 90 120 150 180 0 30 60 90 120 150 180 0 30 60 90 120 150 180 θ (deg) photon emission angle θ (deg) θ (deg) photon emission angle photon emission angle S. Tashenov et al., Phys. Rev. A 87, 022707 (2013)

  17. Electron polarimetry with bremsstrahlung ������������������������ �������� ���������� ������������� ������ � �������������� � ������� �� ����������� � � ������������� �� � ��������������� � S. Tashenov et al., Phys. Rev. A 87, 022707 (2013) ������������� �

  18. Electron polarimetry with bremsstrahlung ������������������������ �������� ���������� ������������� ������ � �������������� � ������� �� ����������� � � ������������� �� � ��������������� � S. Tashenov et al., Phys. Rev. A 87, 022707 (2013) ������������� �

  19. Electron polarimetry with bremsstrahlung ������������������������ �������� ���������� ������������� ������ � �������������� � ������� �� ����������� � � ������������� �� � ��������������� � S. Tashenov et al., Phys. Rev. A 87, 022707 (2013) ������������� � χ χ α α

  20. Electron polarimetry with bremsstrahlung ������������������������ �������� ���������� ������������� ������ transverse polarization � �������������� � ������� �� longitudinal polarization ����������� � � ������������� �� � ��������������� � ������������� � Transverse polarization Longitudinal polarization Mott polarimetry

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