Proton radioactivity with a Yukawa effective interaction

TL;DR

This paper presents a theoretical study of proton radioactivity half-lives using a Yukawa effective interaction, incorporating nuclear structure and interaction effects to estimate decay probabilities.

Contribution

It introduces a method to calculate proton-nucleus potentials with a Yukawa form and explores the influence of nuclear matter properties on decay lifetimes.

Findings

Calculated half-lives agree with experimental data.

Neutron-proton effective mass splitting affects decay probabilities.

Nuclear matter incompressibility influences proton radioactivity rates.

Abstract

The half lives of proton radioactivity of proton emitters are investigated theoretically. Proton-nucleus interaction potentials are obtained by folding the densities of the daughter nuclei with a finite range effective nucleon-nucleon interaction having Yukawa form. The Wood-Saxon density distributions for the nuclei used in calculating the nuclear as well as the Coulomb interaction potentials are predictions of the interaction. The quantum mechanical tunneling probability is calculated within the WKB framework. These calculations provide reasonable estimates for the observed proton radioactivity lifetimes. The effects of neutron-proton effective mass splitting in neutron rich asymmetric matter as well as the nuclear matter incompressibility on the decay probability are investigated.