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arXiv · 0910.3090

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

Dongliang Fang·Amand Faessler·Vadim Rodin·Mohamed Saleh Yousef·Fedor Simkovic
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Abstract

The $2νββ$-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 $2νββ$-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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Dongliang Fang, Amand Faessler, Vadim Rodin, Mohamed Saleh Yousef, Fedor Simkovic. 2010-03-17. Running sums for $2νββ$-decay matrix elements within the QRPA with account for deformation. https://doi.org/10.1103/physrevc.81.037303

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