Running sums for $2\nu \beta \beta$-decay matrix elements within the QRPA with account for deformation

Abstract

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.

4 pages, 2 figures, to be published in PRC

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Cited by in corpus (14)

• Theory of neutrinoless double beta decay
• Neutrinoless double beta decay of deformed nuclei within QRPA with realistic interaction
• Two-neutrino double beta decay of deformed nuclei within QRPA with realistic interaction
• Nuclear matrix elements for neutrinoless double-beta decay and double-electron capture
• The ${}^{150}$Nd(${}^3$He,$t$) and ${}^{150}$Sm($t$,${}^3$He) reactions with applications to $\beta \beta$ decay of ${}^{150}$Nd
• Beta-decay properties of neutron-rich Ge, Se, Kr, Sr, Ru, and Pd isotopes from deformed quasiparticle random-phase approximation
• Neutrinoless double beta decay of ${}^{150}$Nd with account for deformation
• Evaluation of the resonance enhancement effect in neutrinoless double-electron capture in 152Gd, 164Er and 180W atoms
• Theoretical mean field and experimental occupation probabilities in the double beta decay system 76Ge to 76Se
• Beta-decay properties of neutron-rich rare-earth isotopes
• Gamow-Teller properties of the double beta-decay partners 116Cd(Sn) and 150Nd(Sm)
• Nuclear structure calculations for two-neutrino double-beta decay
• $2\nu \beta \beta$-decay to first $2^{+}$ state with partial isospin symmetry restoration from spherical QRPA calculations
• What can we learn from recent $2\nu \beta \beta$ experiments?