Neutrinoless Double-Beta Decay and Realistic Shell Model

Abstract

We report on the calculation of the neutrinoless double-beta decay nuclear matrix element for 76Ge within the framework of the realistic shell model. The effective shell-model Hamiltonian and the two-body transition operator describing the decay are derived by way of many-body perturbation theory. Particular attention is focused on the role played by the so-called Pauli blocking effect in the derivation of the effective operator.

Contribution to the proceedings of the IV International Conference on Nuclear Structure and Dynamics NSD2019 (Venice, Italy, 13-17 May 2019) To be published in a volume of EPJ Web of Conferences

References in corpus (16)

• Double Beta Decay, Majorana Neutrinos, and Neutrino Mass
• Status and Future of Nuclear Matrix Elements for Neutrinoless Double-Beta Decay: A Review
• Phase space factors for double-$\beta$ decay
• Disassembling the Nuclear Matrix Elements of the Neutrinoless double beta Decay
• Energy density functional study of nuclear matrix elements for neutrinoless $\beta \beta$ decay
• Anatomy of nuclear matrix elements for neutrinoless double-beta decay
• Nuclear matrix elements for double-β decay
• The 0nbb-decay nuclear matrix elements with self-consistent short-range correlations
• Limits on the neutrino mass from neutrinoless double-$\beta$ decay
• Shell model studies of the ${}^{130}Te$ neutrinoless double-beta decay
• The occupancies of individual orbits and the nuclear matrix element of the ${}^{76}$Ge neutrinoless $\beta \beta$ decay
• Nuclear Structure Aspects of the Neutrinoless Double Beta Decay
• Shell model analysis of competing mechanism to the double-beta decay of ${}^{48}$Ca
• Accurate shell-model nuclear matrix elements for neutrinoless double-beta decay
• Shell-model study of quadrupole collectivity in light tin isotopes
• Double-step truncation procedure for large-scale shell-model calculations