On the role of pairing correlations in calculation of \b{eta}-decay half-lives within QRPA formalism

TL;DR

This paper investigates how pairing correlations and residual interactions influence the accuracy of beta-decay half-life calculations within the QRPA framework, demonstrating improved predictions through optimized parameters and pairing gap considerations.

Contribution

It introduces a refined pn-QRPA model with multi-shell deformed space and schematic interactions, enhancing the agreement with experimental beta-decay half-lives.

Findings

Better agreement with experimental data compared to previous models

Importance of proton-neutron residual interaction in half-life calculations

Effect of pairing gaps on predicted half-lives

Abstract

In this paper we show that the proton-neutron residual interaction can play an important role in the reliability of calculated $\beta$-decay half-lives. It may also improve the prediction power of the quasiparticle random phase approximation (QRPA) model. We further demonstrate that a reasonable choice of the particle-particle (attractive) and particle-hole force (repulsive) parameters can result in calculated half-lives in very good comparison with the measured ones. Pairing gaps have affect on calculated half-lives which we explore in this paper. We present our half-lives calculation using the proton-neutron QRPA (pn-QRPA) model possessing a multi-shell single-particle deformed space including a schematic interaction for some medium mass neutron-deficient nuclei undergoing $\beta^{+}$/EC decay. Our study shows a better agreement with the available experimental data as compared to former calculations.