„The uncertainty in the calculated nuclear matrix elements for neutrinoless double beta decay will constitute the principle obstacle to answering some basic questions about neutrinos.“ Bahcall et al. Phys. Rev. D70 (2004) 033012 Theoretical Status of the Double Beta Decay Amand Faessler, Tuebingen TAUP2009, Wednesday, July first 2009
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„The uncertainty in the calculated nuclear matrix elements for neutrinoless double beta decay will constitute the principle obstacle to answering some.
Neutrinoless Double Beta- Decay Probability TAUP2009, Wednesday, July first 2009
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„The uncertainty in the calculated nuclear matrix elements for neutrinoless double beta decay will constitute the principle
obstacle to answering some basic questions about neutrinos.“
Bahcall et al. Phys. Rev. D70 (2004) 033012
Theoretical Status of the Double Beta Decay
Amand Faessler, TuebingenTAUP2009, Wednesday, July first 2009
Oνββ-Decay (forbidden in Standard Model)
only for massive Majorana Neutrinos ν = νc
P
P
n n
Left
Left
ν Phase Space106 x 2νββ
TAUP2009, Wednesday, July first 2009
Neutrinoless Double Beta-
Decay Probability
TAUP2009, Wednesday, July first 2009
TAUP2009, Wednesday, July first 2009
QRPA Tuebingen 2008
QRPA and RQRPA (Tuebingen) with errors from Basis Size, exp. 2-Neutrino Decay, axial Coupling Constant gA = 1.25 and 1.00
and Short Range Correlations ( UCOM + Jastrow)
TAUP2009, Wednesday, July first 2009
QRPA Tuebingen 2008
Blue triangles: Shell model of Strassburg and Madrid group only 4 to 5 single nucleon levels
Green Squares IBM2 of Barea and Iachello 2009
TAUP2009, Wednesday, July first 2009
IBM2 Barea, Iachello 2009QRPA Tuebingen 2008SM Courier et al.
Adjutment of the Neutron Levels to reproduce the Occupation of Schiffer et al. from Simkovic, Faessler and Vogel : Phys. Rev. C79(2009) 015502 and also Suhonen and Civitarese: Phys. Lett. B668 (2008) 277
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TAUP2009, Wednesday, July first 2009
Omega
1/2
3/2
5/2
7/29/2
g 9/2
p 1/2
f 5/2
1/2
3/2
5/21/2
1/2
3/2p3/2
Deformation 2
Single neutron energies for N = 42
jN = 28
Deformation affects the occupation Probabilities of neutrons mainly.