Effects of orbital occupancies on the neutrinoless beta-beta matrix element of 76Ge

Abstract

In this work we use the recently measured neutron occupancies in the 76Ge and 76Se nuclei as a guideline to define the neutron quasiparticle states in the 1p0f0g shell. We define the proton quasiparticles by inspecting the odd-mass nuclei adjacent to 76Ge and 76Se. We insert the resulting quasiparticles in a proton-neutron quasiparticle random-phase approximation (pnQRPA) calculation of the nuclear matrix element of the neutrinoless double beta (0-nu-beta-beta) decay of 76Ge. A realistic model space and effective microscopic two-nucleon interactions are used. We include the nucleon-nucleon short-range correlations and other relevant corrections at the nucleon level. It is found that the resulting 0-nu-beta-beta matrix element is smaller than in the previous pnQRPA calculations, and closer to the recently reported shell-model results.

To appear in Physics Letters B

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• Recent Progress in Double Beta Decay
• The occupancies of individual orbits and the nuclear matrix element of the ${}^{76}$Ge neutrinoless $\beta \beta$ decay
• $0\nu \beta \beta$ nuclear matrix elements and the occupancy of individual orbits
• Ge Detectors and $0\nu \beta \beta$: The Search for Double Beta Decay with Germanium Detectors: Past, Present and Future
• Deformation effects on the Gamow-Teller strength distributions in the double-beta decay partners 76Ge and 76Se
• Probing particle and nuclear physics models of neutrinoless double beta decay with different nuclei
• Theoretical mean field and experimental occupation probabilities in the double beta decay system 76Ge to 76Se
• Can one measure nuclear matrix elements of neutrinoless double beta decay?
• Nuclear structure calculations for two-neutrino double-beta decay