Systematic study of proton radioactivity half-lives based on the relationship between the Skyrme-Hartree-Fock and the macroscopic quantities of nuclear matter

TL;DR

This study systematically analyzes proton radioactivity half-lives of spherical nuclei using Skyrme-Hartree-Fock models, establishing correlations with nuclear matter properties and developing a new parameter set that improves experimental data predictions.

Contribution

The paper introduces a new Skyrme parameter set derived from macroscopic nuclear matter quantities, enhancing the accuracy of proton radioactivity half-life predictions.

Findings

New Skyrme parameter set better reproduces experimental half-lives.

Established correlation between proton radioactivity and nuclear matter properties.

Improved theoretical predictions over previous models.

Abstract

In the present work, we systematically study the proton radioactivity half-lives of 33 spherical nuclei based on the relationship between the Skyrme parameters and the macroscopic quantities of nuclear matter. Using the two-potential approach with the spherical Skyrme-Hartree-Fock model, the correlation between proton radioactivity half-life and macroscopic quantities was analyzed. Moreover, we obtained a new Skyrme parameter set by fitting the two most weighted macroscopic quantities. Compared with Skyrme parameters MSL0 and the theoretical model of proton radioactivity UDLP, the theoretical proton radioactivity half-life calculated by the new Skyrme parameter set can better reproduce the experimental data.