Re-analysis of the Gamow-Teller distributions for N=Z nuclei, 24Mg, 28Si, and 32S

TL;DR

This paper re-analyzes the Gamow-Teller strength distributions of N=Z sd shell nuclei using a deformed basis within the pn QRPA framework, incorporating RMF model calculations for nuclear deformation.

Contribution

It combines RMF and pn QRPA models with deformation parameters to improve understanding of GT distributions in specific nuclei, providing a novel integrated approach.

Findings

Model-based analyses agree well with observed data.

Deformation parameters significantly influence GT strength distributions.

The approach enhances the accuracy of nuclear structure predictions.

Abstract

The Gamow-Teller (GT) strength distributions of sd shell N=Z nuclei ($^{24}$Mg, $^{28}$Si, and $^{32}$S) are investigated within the framework of proton-neutron quasi particle random phase approximation (pn QRPA) using a deformed basis. The nuclear properties of these special nuclei were investigated by the Relativistic Mean Field (RMF) model. The RMF framework with density-dependent interactions (DD-PC1 and DD-ME2) was employed to compute ground-state deformation parameters (beta 2) using potential energy curves. The $\beta_2$ values computed from the RMF and the finite range droplet model (FRDM) were employed as a free parameter in the pn QRPA calculation to investigate the resulting GT strength distributions.The present model-based analyses compare well with the observed data.