Nuclear Structure, the Double Beta Decay and the Neutrino Mass Amand Faessler University of Tuebingen 1.Occupation probabilities for 76 Ge 76 Se. F. Simkovic, A. Faessler, P. Vogel: Phys.Rev C 79 (2009) 015502; O. Moreno, E. Moya de Guerra, P. Sarriguren, A. Faessler: Phys. Rev. C81(2010) 041303 2. Which neutron pairs contribute
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Nuclear Structure , the Double Beta Decay and the Neutrino Mass
Nuclear Structure , the Double Beta Decay and the Neutrino Mass. Occupation probabilities for 76 Ge 76 Se. F. Simkovic, A. Faessler, P. Vogel: Phys.Rev C 79 (2009) 015502; O. Moreno, E. Moya de Guerra, P. Sarriguren, A. Faessler: Phys. Rev. C81(2010) 041303 - PowerPoint PPT Presentation
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Nuclear Structure, the Double Beta Decay and the Neutrino Mass
Amand Faessler University of Tuebingen
1. Occupation probabilities for 76Ge 76Se. F. Simkovic, A. Faessler, P. Vogel: Phys.Rev C 79
(2009) 015502; O. Moreno, E. Moya de Guerra, P. Sarriguren, A. Faessler: Phys. Rev. C81(2010) 041303
2. Which neutron pairs contribute to the Double Beta Decay ? A. Escuderos, A. Faessler, V. Rodin, F. Simkovic arXiv: 1001.3519 (2010)
Oνββ-Decay (forbidden in Standard Model)
P
P
n n
Left
Left
ν Phase Space106 x 2νββ
Amand Faessler, Tuebingen
e1
e2
= c Majorana NeutrinoNeutrino must have a Mass
Neutrinoless Double Beta-
Decay Probability
Amand Faessler, Tuebingen
Amand Faessler, Tuebingen
1. From which Neutrons come the two Protons?
J. Schiffer et al. Phys. Rev. Lett. 100 (2008)112501Double Beta Decay: 76
32Ge44 7634Se42
f7/2
p3/2
p1/2
f5/2
g9/2
Fp
Fn
28
40
50
7632Ge44(d,p) or (,3He)
7634Se42(p,d) or (He,)
Neutron Holes below 50
Saxon-Woods + BCS
Saxon-Woods (Bertsch)+ BCS
Selfconsistent Hartree-Fock-Bogoliubov with Skyrme3 (Sk3) Moreno, Moya de Guerra, Sarriguren and Faessler
Phys. Rev. C81(2010) 041303• Neutron Two Body Spin-Orbit Force is to small : V. O.
Nesterenko , J. Kvasil, P. Vesely, W. Kleinig, P. G. Reinhard, V. Yu. Ponomarev: Spin-flip M1 giant resonaces as a challenge for the Skyrme forces: J. Phys. G37(2010)064034
• Skyrme3W0 = 120 200 [MeV fm5]
NeutronSk3 Sk3
Amand Faessler, Tuebingen
1g1g7/2
1g9/2
Amand Faessler, Tuebingen
Protons and Neutrons above the 28 Shell
7632Ge44 76
34Se42
2and Running Sum of Double Gamow-Teller Distributions for 76Ge 76Se
Amand Faessler, Tuebingen
From experimental Charge Exchange Reactions (Madey et al (p,n) and Frekers et al. (d,2He))
(p,n) (d,2He)
76Ge76Se
76As
1+
0+
0+
Amand Faessler, Tuebingen
0.0
New points in this work: The neutron occupation probabilities (Schiffer et al.) are
reproduced by Sk3. Sk3 reproduces 2. Old Sk3 by a factor 1/8 to small. Sk3 running sum = Gamow-Teller strength
distribution (R. Madey et al. and E. W. Grewe et al. ). Root mean square radii of 76Ge and 76Se with Sk3