# Calculation of Gamow-Teller and Two-Neutrino Double-Beta Decay Properties for 130Te and 136Xe with a realistic nucleon-nucleon potential

## TL;DR

This study calculates Gamow-Teller and double-beta decay properties for nuclei near 132Sn using a realistic shell model, deriving interactions without empirical quenching, and compares results with experimental data to validate the approach.

## Contribution

It introduces a method to compute decay properties with a realistic interaction without empirical adjustments, enhancing predictive reliability for neutrinoless double-beta decay.

## Key findings

- Results agree well with experimental data.
- Method avoids empirical quenching factors.
- Establishes a validated approach for future decay studies.

## Abstract

We report on the calculation of Gamow-Teller and double-beta decay properties for nuclei around 132Sn within the framework of the realistic shell model. The effective shell-model Hamiltonian and Gamow-Teller transition operator are derived by way of many-body perturbation theory, without resorting to empirical effective quenching factor for the Gamow-Teller operator. The results are then compared with the available experimental data, in order to establish the reliability of our approach. This is a mandatory step, before we apply the same methodology, in forthcoming studies, to the calculation of the neutrinoless double-beta decay nuclear matrix element for nuclei that are currently considered among the best candidates for the detection of this process.