$0\nu \beta \beta$ nuclear matrix elements and the occupancy of individual orbits

Abstract

The measured occupancies of valence orbits in ${}^{76}$Ge and ${}^{76}$Se are used as a guideline for modification of the effective mean field energies that results in better description of these quantities. With them, in combination with the selfconsitent renormalized quasiparticle random phase approximation (SRQRPA) method that ensures conservation of the mean particle number in the correlated ground state, we show that the resulting $0\nu \beta \beta$ nuclear matrix element for the ${}^{76}$Ge $\to$ ${}^{76}$Se transition is reduced by $\sim$25% compared to the previous QRPA value, and therefore the difference between the present approach and the interacting shell model predictions becomes correspondingly smaller. Analogous modification of the mean field energies for the A=82 system also results in a reduction of $0\nu \beta \beta$ matrix element for the ${}^{82}$Se $\to$ ${}^{82}$Kr transition, making it also closer to the shell model prediction.

9 pages, 6 figures

References in corpus (5)

• Double Beta Decay, Majorana Neutrinos, and Neutrino Mass
• Anatomy of nuclear matrix elements for neutrinoless double-beta decay
• The influence of pairing on the nuclear matrix elements of the neutrinoless double beta decays
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• Nuclear Structure Aspects of the Neutrinoless Double Beta Decay

Cited by in corpus (3)

• The 0nbb-decay nuclear matrix elements with self-consistent short-range correlations
• The occupancies of individual orbits and the nuclear matrix element of the ${}^{76}$Ge neutrinoless $\beta \beta$ decay
• Probing particle and nuclear physics models of neutrinoless double beta decay with different nuclei