Ben Kay, Argonne National Laboratory High-resolution Spectroscopy and Tensor interactions 2015
(Image shows the 35 0ν2β candidates as a function of N and Z. Those in solid red are considered the most promising with regards a potential observation.)
The Microscopic Anatomy of 0 2 -Decay Candidates Ben Kay, Argonne - - PowerPoint PPT Presentation
The Microscopic Anatomy of 0 2 -Decay Candidates Ben Kay, Argonne National Laboratory High-resolution Spectroscopy and Tensor interactions 2015 (Image shows the 35 0 2 candidates as a function of N and Z . Those in solid red are
(Image shows the 35 0ν2β candidates as a function of N and Z. Those in solid red are considered the most promising with regards a potential observation.)
2
General discussions on this topic: S. J. Freeman and J. P . Schiffer, J. Phys. G: Nucl. Part. Phys. 39, 124004 (2012)
100Mo➞100Ru and 150Nd➞150Sm systems
Mass (MeV) 28 30 32 34 36 38 70715 70720 70725 70730 70735 70740 28 30 32 34 36 38 66995 67000 67005 67010 67015 67020 A = 76 A = 72
76Zn 76Ge 76Ga
β–
76As 76Se 76Rb 76Kr 76Br
β–
72Ni
48 50 52 54 56 58 121000 121005 121010 121015 121020 121025 A = 130
even-even
130Xe 130Te 130Sn 130Sb 130I 130Cs 130Ba 130La 130Ce
✕ β+,ε β+β+,εε ✕ β– β– β– β–β–
72Ge
✕ β– β–β– β+,ε ε β+,ε β–
72Zn 72Ga 72Cu
β–
72As 72Br 72Se 72Kr
ε ε ε ε Z Z Z (~74% of isobars)
3
2.039 MeV* 2.527 MeV*
1/2]−1 = (Phase Space Factor) ⇥ |Nuclear Matrix Element|2 ⇥ |hmββi|2
4
solar~7×10−5eV2 atmospheric ~2×10−3eV2 atmospheric ~2×10−3eV2 m1
2
m2
2
m3
2
m2
2
m1
2
m3
2
νe νµ ντ ? ? solar~7×10−5eV2 Figure 1. The probability that a particular neutrino mass state
From King et al., Rep. Prog. Phys. 76, 056201 (2013)
Δm132 Δm122
mββ =
3
X
n=1
miU 2
αi
10-4 10-3 10-2 10-1 100 10-4 10-3 10-2 10-1 100
Normal Ordering with uncertainty Inverted Ordering with uncertainty Normal Ordering without uncertainty Inverted Ordering without uncertainty
95% CL, Planck+WMAP+highL 95% CL, Planck+WMAP+highL+BAO
KamLAND-Zen + EXO 200
1/2]−1 = (Phase Space Factor) ⇥ |Nuclear Matrix Element|2 ⇥ |hmββi|2
http://ctp.berkeley.edu/neutrino/neutrino5.html
5
1/2]−1 = (Phase Space Factor) ⇥ |Nuclear Matrix Element|2 ⇥ |hmββi|2
6
Figure of 2β– spectrum from Elliott and Vogel, Annu. Rev. Nucl. Part. Sci. 52, 115 (2002) *Excluding the alpha emitters (232Th and 238U, which are ~100%) For 11 of these, the 2ν mode has been observed. Also, 2v mode to excited 0+ states seen in 100Mo and 150Nd.
1/2]−1 = (Phase Space Factor) ⇥ |Nuclear Matrix Element|2 ⇥ |hmββi|2
7
A large Q value (greater than 2 MeV) is desired because puts the signal above background from natural radioactivity. Additionally, the decay probability scales with ~Q5. The rest is a compromise between natural abundance, detector technology, economics, and nuclear structure
1/2]−1 = (Phase Space Factor) ⇥ |Nuclear Matrix Element|2 ⇥ |hmββi|2
0.01 0.1 1 10 100 0.1 0.2 0.3 0.5 1 2 3 4 Natural abundance (%) Q2β– (MeV)
48Ca 124Sn 130Te 110Pd 150Nd 100Mo 136Xe 76Ge 96Zr 116Cd 82Se
8
Figure: A. Neacsu and M. Horoi, Phys. Rev. C 91, 024309 (2015)
Magnitude of NME (dimensionless)
1/2]−1 = (Phase Space Factor) ⇥ |Nuclear Matrix Element|2 ⇥ |hmββi|2
9
76Ge 76As 76Se
T = 6 T = 6 0+ ias 0+ g.s. 0+ das T = 5 T = 6 T = 4 0+ g.s.
76Ge(3He,t)76As, 76Se(t,3He)76As.
10
76Ge 76As 76Se
0+ g.s. T=6 T=4 0+ g.s.
76Ge(18Ne,18O)76Se.
*Often considered good to 10% or better, see e.g., Sen’kov and Horoi, Phys. Rev. C 90, 051301(R) (2014)
11
28 32 34
8 6 14 16
12
0.2 0.4 0.6 0.8 1 400 800 1200 1600 Excitation Energy (MeV) Counts 2 4 1 3 1 2 3
76Se(p,d) 76Se(3He,α)
13
160 1 0.44 0.82 225 4 421 2 505 2 629 1 0.15 0.28 884 2 1021 1 0.12 0.22 1048 1 0.04 0.07 1250 1385 2
1 0.45 0.85 191 4 248 1 0.12 0.23 317 3 457 3 575 1 1.29 2.43 651 3 885 1 0.10 0.19 1137 1 0.11 0.21 1250 3 1410 1451 1 0.37 0.70 1580 3
76Ge(p,d) 76Ge(d,p)
removing +
adding]/(2j + 1)
14
74Ge
76Ge
76Se
78Se
. Schiffer et al., Phys. Rev. Lett. 100, 112501 (2008); BPK et al., Phys. Rev. C 79, 021301(R) (2009)
2 4 6 8 2 4 6 8 Proton occupancy EXP
76Ge
EXP
76Se
2 4 6 8 2 4 6 8 0g9/2 1p 0f5/2 EXP
76Ge
EXP
76Se
Neutron vancancy
15
1 2 1 2 1 2 1 2 0g9/2 1p 0f5/2 EXP A B C Neutron vancancy (76Se–76Ge) 1 2 1 2 1 2 1 2 EXP A B C Proton occupancy (76Se–76Ge) EXP — J. P . Schiffer et al., Phys. Rev. Lett. 100, 112501 (2008); BPK et al., Phys. Rev. C 79, 021301(R) (2009) A — QRPA by Rodin et al., priv. com., Nucl .Phys. A 766, 107 (2006) B — QRPA by Suhonen et al., priv. com., Phys. Lett. B 668, 277 (2008) C — ISM by Caurier et al., priv. com., Phys. Rev. Lett. 100, 052503 (2008)
2008 2009 2006 QRPA 2008 SM 2008 QRPA 2006 QRPA 2008 SM 2008 QRPA
16
1 2 1 2 1 2 1 2 0g9/2 1p 0f5/2 EXP A B C Neutron vancancy (76Se–76Ge) 1 2 1 2 1 2 1 2 EXP A B C Proton occupancy (76Se–76Ge) EXP — J. P . Schiffer et al., Phys. Rev. Lett. 100, 112501 (2008); BPK et al., Phys. Rev. C 79, 021301(R) (2009) A — QRPA by Rodin et al., priv. com., Nucl .Phys. A 766, 107 (2006) B — QRPA by Suhonen et al., priv. com., Phys. Lett. B 668, 277 (2008) C — ISM by Caurier et al., priv. com., Phys. Rev. Lett. 100, 052503 (2008) A B C –2 –1 1 2 Protons Theory–experiment A B C –2 –1 1 2 Neutrons Theory–experiment Errors bars from experimental data
1p occupancy poorly described in all cases for the proton data
2008 2009 2006 QRPA 2008 SM 2008 QRPA 2006 QRPA 2008 SM 2008 QRPA 2006 QRPA 2008 SM 2008 QRPA
17 2 3 4 5 6 7 QRPA(Tu) RQRPA(Tu) QRPA(Jy) ISM
before (black) and after (red) enforcing Schiffer’s occupancies Magnitude of NME Modified figure from Menéndez, Poves, Caurier, Nowacki, J. Phys.: Conf. Ser. 312, 072005 (2011)
QRPA (Tu) RQRPA (Tu) QRPA (Jy) ISM
50 52 54 64
18
4 6 26 28
19
128,130Te isotopes.
BPK et al., Phys. Rev. C 87, 011302(R) (2013)
40 80 120 164, = 5, 11/2– 80, = 0, 1/2+ 0, = 2, 3/2+ 405, = 2, 3/2+ 699, = 2, 3/2+ 723, = 2 0.5 1 1.5 2 40 80 120 Excitation energy (MeV) 164, = 5, 11/2– 0, = 2, 3/2+ 1035, = 2 1240 carbon 1680, (7/2–) (80, = 0, 1/2+) Counts (a) (b) Excitation energy (MeV) Counts 200 400 600 800 1000 0.5 1 1.5 2 50 100 150 200 0, = 2, 3/2+ 182, = 5, 11/2– (296, = 0, 1/2+) 642, = 2, 5/2+ carbon 0, = 2, 3/2+ 182, = 5, 11/2– 296, = 0, 1/2+ 642, = 2, 5/2+ 1469, = 2 1207, = 2 880, = 3 1041, = 0 1787, = 3 (a) (b) 130Te(d,p) 130Xe(d,p) 130Te(α,3He) 130Xe(α,3He)
20 EXP — BPK et al., Phys. Rev. C 87, 011302(R) (2013)
Isotope
Expect
128Te
130Te
130Xe
132Xe
2 4 6 8 2 4 6 8 Neutron vancancy EXP
130Te
EXP
130Xe
0h11/2 2s1/2 1d 0g7/2
1 2 1 2 1 2 1 2 1 2 0h11/2 2s1/2 1d 0g7/2 EXP Neutron vancancy (130Te–130Xe) A B C D 21
A B C D –2 –1 1 2 Neutrons Theory–experiment
Errors bars from experimental data
2013 2010 QRPA 2010 QRPA 2010 QRPA 2009 SM 2015 SM 2010 QRPA
EXP — BPK et al., Phys. Rev. C 87, 011302(R) (2013) A,B — J. Suhonen and O. Civitarese, Nucl. Phys. A 847, 207 (2010) C — A. Neacsu, priv. com.; A. Neascu and M. Horoi, Phys. Rev. C 91, 024309 (2015) D — J. Menéndez, priv. com.; J. Menéndez, A. Poves, E. Caurier, and F . Nowacki, Nucl. Phys. A 818, 139 (2009)
2009 SM 2015 SM
50 52 54 56 64
22
58 60 62 64 66 68 70 1.2 1.3 1.4 1.5 1.6 Z,N E (MeV) Proton 2+
(-0.35 MeV) N = 82
Neutron 2+
Z = 50
23
. Alford et al., Nucl.Phys. A 323, 339 (1979)
100 101 102 103 1 2 3 4 100 101 102 103 0,ℓ= 0 666,ℓ= 2 2579,ℓ= 0 Counts per channel Excitation energy (MeV) 744,ℓ= 2 1873,ℓ= 0 2313,ℓ= 0
128Te(p,t)126Te
! = 5° 0,ℓ= 0
130Te(p,t)128Te
! = 5° ℓ ℓ ℓ ℓ ℓ ℓ ℓ ℓ ℓ ℓ ℓ ℓ ℓ ℓ ℓ ℓ ℓ ℓ ℓ ℓ ℓ ℓ ℓ ℓ ℓ ℓ ℓ ℓ 1979,ℓ= 0
Reaction E (MeV) σ (mb/sr) Ratioa Normalized strengthb
128Te(p,t)
4.21 90 1.21 1.873 0.06 20 0.02 2.579 0.15 21 0.04
130Te(p,t)
3.49 89 1.00 1.979 0.05 50 0.01 2.313(4)c 0.05 >20 0.01
128Te(3He,n)
0.24 – 0.96 2.13 0.095 – 0.32
130Te(3He,n)
0.26 – 1.00 1.85 0.098 – 0.34 2.49 0.062 – 0.21
aRatio of 5◦ to 17◦ cross sections, for the ( , ) reaction only.
50 54 56 64
24
4 2
Experiments completed, but not discussed here. BPK, S. V. Szwec et al., preliminary; under analysis (experiment in May and Oct 2015)
50 52 54 56 64
25
No dispersion matching, Grand Raiden and RCNP gas target, beam energy of 101 MeV, spectra at 5.8°
P . Puppe et al., Phys. Rev. C 84, 051305(R) (2011). 26
EXP — J. P . Entwisle, BPK et al., preliminary (experiment in Oct 2014).
2 4 6 8 10 12 14 16 18 20 10–4 10–3 10–2 10–1 100 dσ/dΩ (mb/sr) θlab (deg) ℓ = 4, g.s. ℓ = 2, 645 keV ℓ = 5, 2320 keV ℓ = 0, 1490 keV 400 800 1200 200 400 600 Excitation energy (MeV) Counts
130Xe(d,3He)129I 132Xe(d,3He)131I
200 400 600 –0.5 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 200 400 600 800
134Xe(d,3He)133I 136Xe(d,3He)135I
27
EXP — J. P . Entwisle, BPK et al., preliminary (experiment in Oct 2014).
1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 Proton occupancy
128Te 130Te 130Xe 132Xe
1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6
134Xe 136Xe 136Ba 138Ba
0h11/2 2s1/2 1d 0g7/2
1 2 Proton occupancy (130Xe–130Te) 1 2 1 2 1 2 A B C EXP 0h11/2 2s1/2 1d 0g7/2
28
EXP — J. P . Entwisle, BPK et al., preliminary: under analysis (experiment in Oct 2014) A — A. Neacsu, priv. com.; A. Neascu and M. Horoi, Phys. Rev. C 91, 024309 (2015) B — J. Menéndez, priv. com.; J. Menéndez, A. Poves, E. Caurier, and F . Nowacki, Nucl. Phys. A 818, 139 (2009) C — J. Suhonen and O. Civitarese, Nucl. Phys. A 847, 207 (2010)
2015 SM 2009 SM 2010 QRPA
1 2 Proton occupancy (136Ba–136Xe) 1 2 1 2 A B EXP 0h11/2 2s1/2 1d 0g7/2
29
EXP — J. P . Entwisle, BPK et al., preliminary: under analysis (experiment in Oct 2014) A — A. Neacsu, priv. com.; A. Neascu and M. Horoi, Phys. Rev. C 91, 024309 (2015) B — J. Menéndez, priv. com.; J. Menéndez, A. Poves, E. Caurier, and F . Nowacki, Nucl. Phys. A 818, 139 (2009) C — J. Suhonen and O. Civitarese, Nucl. Phys. A 847, 207 (2010)
2015 SM 2009 SM
A B –1 1 Protons Theory–experiment Protons Theory–experiment A B C –1 1
1 2 Proton occupancy (136Ba–136Xe) 1 2 1 2 A B EXP 0h11/2 2s1/2 1d 0g7/2 1 2 Proton occupancy (130Xe–130Te) 1 2 1 2 1 2 A B C EXP 0h11/2 2s1/2 1d 0g7/2
30
2015 SM 2009 SM 2010 QRPA 2015 SM 2009 SM 2010 QRPA
EXP — J. P . Entwisle, BPK et al., preliminary: under analysis (experiment in Oct 2014) A — A. Neacsu, priv. com.; A. Neascu and M. Horoi, Phys. Rev. C 91, 024309 (2015) B — J. Menéndez, priv. com.; J. Menéndez, A. Poves, E. Caurier, and F . Nowacki, Nucl. Phys. A 818, 139 (2009) C — J. Suhonen and O. Civitarese, Nucl. Phys. A 847, 207 (2010)
2015 SM 2009 SM
31
76Ge➞76Se
100Mo➞100Ru
136Xe➞136Ba
130Te➞130Xe
32
76Ge➞76Se
82Se➞82Kr
100Mo➞100Ru
124Sn➞124Te
150Nd➞150Sm
32
136Xe➞136Ba
130Te➞130Xe
33
34
Argonne National Laboratory, Illinois, USA
Schuster Laboratory, University of Manchester, UK
WNSL, Yale University, Connecticut, USA
Okumura, Y. Sakemi, Y. Shimizu, H. Shimoda, K. Suda, Y. Tameshige RCNP, Osaka University, Japan
Lawrence Berkeley National Laboratory, California, USA
Technische Universitat Munchen
35 This material is based on work supported by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics, under Contract Number DE-AC02-06CH11357 and the U.K. Science and Technology Facilities Council.
Argonne National Laboratory, RCNP-Osaka, University of Manchester
Argonne National Laboratory, University of Manchester, IPN-Orsay, University of the West of Scotland
Thank you to Andrei Neascu for theoretical data for A = 130 and 136 data and J. Menéndez for data on A = 76, 82, 130, and 136.
Argonne National Laboratory, Lawrence Berkeley National Laboratory, University of Manchester