Study of $\beta^- $ decays for sd model space with Shell model

TL;DR

This study uses the shell model with the USDB interaction to analyze beta decay properties of sd-shell nuclei, comparing theoretical calculations with experimental data to enhance understanding of nuclear structure.

Contribution

It provides detailed shell model calculations of beta decay characteristics for sd-shell nuclei, validating results against experimental data and offering insights into nuclear shell structure.

Findings

Theoretical half-lives agree with experimental data within uncertainties.

Calculated logft and B(GT) values match observed trends.

Insights into nuclear shell effects on beta decay properties.

Abstract

This paper investigates the beta decay of nuclei within the sd model space, encompassing the $0d_{3/2}$, $0d_{5/2}$, and $1s_{1/2}$ shells. We comprehensively analyze their decay characteristics, including the half-life, $logft$ value, Q value, branching ratio, B(GT) value, M(GT), and R(GT) value. These results are compared with experimental data from Z = 8-19 nuclei, employing the nuclear shell model framework. The calculations are performed using the USDB\cite{usdb} interaction, which is well-suited for nuclei with active valence nucleons in the $0d_{3/2}$, $0d_{5/2}$, and $1s_{1/2}$ shells. The study offers valuable insights into the beta decay properties of these nuclei and contributes to our understanding of the nuclear shell structure.}