The occupancies of individual orbits and the nuclear matrix element of the ${}^{76}$Ge neutrinoless $\beta \beta$ decay

Abstract

We discuss the variation of the nuclear matrix element (NME) for the neutrinoless double beta ($0\nu \beta \beta$) decay of ${}^{76}$Ge when the wave functions are constrained to reproduce the experimental occupancies of the two nuclei involved in the transition. In the Interacting Shell Model description the value of the NME is enhanced about 15% compared to previous calculations, whereas in the QRPA the NME's are reduced by 20%-30%. This diminishes the discrepancies between both approaches. In addition, we discuss effect of the short range correlations on the NME in the light of the recently proposed parametrizations based on a consistent renormalization of the $0\nu \beta \beta$ transition operator.

3 pages, 1 figure

References in corpus (13)

• Disassembling the Nuclear Matrix Elements of the Neutrinoless double beta Decay
• 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
• The 0nbb-decay nuclear matrix elements with self-consistent short-range correlations
• Improved short-range correlations and 0nbb nuclear matrix elements of 76Ge and 82Se
• Nuclear Structure Relevant to Neutrinoless Double Beta Decay: 76Ge and 76Se
• Short-range correlations and neutrinoless double beta decay
• Nuclear Structure Relevant to Neutrinoless Double Beta Decay: the Valence Protons in 76Ge and 76Se
• Matrix Elements and Few-Body Calculations within the Unitary Correlation Operator Method
• Effects of orbital occupancies on the neutrinoless beta-beta matrix element of 76Ge
• $0\nu \beta \beta$ nuclear matrix elements and the occupancy of individual orbits
• Average and recommended half-life values for two neutrino double beta decay: upgrade'05
• Corrections to the Neutrinoless Double-Beta-Decay Operator in the Shell Model

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