Double beta decay and the proton-neutron residual interaction

Details Double beta decay and the proton-neutron residual interaction Double beta decay and the proton-neutron residual interaction

1996-11-05

arxiv.org/abs/nucl-th/9611008v1

Phys.Lett. B390 (1997) 36-40

Physics

Nuclear Physics

Nuclear Theory

LaTeX, 10 pages plus 3 fugures as LaTeX files. Accepted for publication in Physics Letters B

Scientific paper

10.1016/S0370-2693(96)01511-0

The validity of the pn-QRPA and -RQRPA descriptions of double beta decay transition amplitudes is analyzed by using an exactly solvable model. It is shown that the collapse of the QRPA is physically meaningful and that it is associated with the appearance of a state with zero energy in the spectrum. It is shown that in the RQRPA this particular feature is not present and that this approach leads to finite but otherwise spurious results for the double beta decay transition amplitudes near the point of collapse.

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