Nuclear Structure Aspects of the Neutrinoless Double Beta Decay

TL;DR

This paper investigates nuclear structure factors affecting neutrinoless double beta decay matrix elements using the Interacting Shell Model, focusing on various isotopes and the influence of nuclear properties.

Contribution

It provides updated calculations of nuclear matrix elements for multiple isotopes, analyzing effects of interactions, correlations, and deformation within the shell model framework.

Findings

NME values depend on effective interactions and valence spaces.

Short-range correlations and nucleon size influence NME calculations.

Nuclear deformation significantly affects the matrix elements.

Abstract

In this article, we analyze some nuclear structure aspects of the neutrinoless double beta decay nuclear matrix elements (NME), in the framework of the Interacting Shell Model. We give results for the decays of 48Ca, 76Ge, 82Se, 124Sn, 128Te, 130Te, and 136Xe, using improved effective interactions and valence spaces. We examine the dependence of the NME's on the effective interaction and the valence space, and analyze the effects of the short range correlations and the finite size of the nucleon. Finally we study the influence of the deformation on the values of the NME's.