Running sums for $2νββ$-decay matrix elements within the QRPA with account for deformation

Details Running sums for $2νββ$-decay matrix elements within the QRPA with account for deformation Running sums for $2νββ$-decay matrix elements within the QRPA with account for deformation

2009-10-16

arxiv.org/abs/0910.3090v2

Phys.Rev.C81:037303,2010

Physics

Nuclear Physics

Nuclear Theory

4 pages, 2 figures, to be published in PRC

Scientific paper

10.1103/PhysRevC.81.037303

The $2\nu\beta\beta$-decay running sums for $^{76}$Ge and $^{150}$Nd nuclei are calculated within a QRPA approach with account for deformation. A realistic nucleon-nucleon residual interaction based on the Brueckner G matrix (for the Bonn CD force) is used. The influence of different model parameters on the functional behavior of the running sums is studied. It is found that the parameter $g_{pp}$ renormalizing the G matrix in the QRPA particle-particle channel is responsible for a qualitative change in behavior of the running sums at higher excitation energies. For realistic values of $g_{pp}$ a significant negative contribution to the total $2\nu\beta\beta$-decay matrix element is found to come from the energy region of the giant Gamow-Teller resonance. This behavior agrees with the results of other authors.

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