$0\nu\beta\beta$ decay nuclear matrix elements under Left-Right symmetric model from the spherical quasi-particle random phase approximation method with realistic force

TL;DR

This paper calculates nuclear matrix elements for neutrinoless double beta decay within a Left-Right symmetric model using the spherical QRPA method with realistic forces, analyzing contributions and effects of short-range correlations.

Contribution

It provides detailed nuclear matrix elements for eight nuclei under a Left-Right symmetric model using an advanced QRPA approach with realistic forces, including analysis of various contributions and correlations.

Findings

Weak-magnetism components contribute significantly to the $q$ term.

Short-range correlations notably affect the $R$ term due to high exchange momenta.

Nuclear matrix elements vary across the eight studied nuclei.

Abstract

We perform the calculation of nuclear matrix elements for the neutrinoless double beta decays under a Left-Right symmetric model mediated by light neutrino, and we adopt the spherical quasi-particle random-phase approximation (QRPA) approach with realistic force. For eight nuclei: $^{76}$Ge, $^{82}$Se, $^{96}$Zr, $^{100}$Mo, $^{116}$Cd, $^{128}$Te, $^{130}$Te and $^{136}$Xe, related nuclear matrix elements are given. We analyze each term and the details of contributions of different parts are also given. For the $q$ term, we find that the weak-magnetism components of the nucleon current contribute equally as other components such as axial-vector. We also discuss the influence of short-range correlations on these NMEs. It is found that $R$ term are more sensitive to the short range correlation than other terms due to the large portion of the contribution from high exchange momenta.