# Systematic study of proton radioactivity based on Gamow--like model with a screened electrostatic barrier

## TL;DR

This paper systematically analyzes proton radioactivity half-lives in nuclei with Z=51 to 83 using a Gamow-like model incorporating a screened Coulomb potential, successfully reproducing experimental data and predicting unknown half-lives.

## Contribution

It introduces a modified Gamow-like model with a screened electrostatic barrier to accurately predict proton radioactivity half-lives and extends predictions to unmeasured nuclei.

## Key findings

- Model reproduces experimental half-lives well.
- Predicted half-lives of 16 nuclei within a factor of 2.94.
- Half-lives linearly depend on Coulomb parameter with same orbital angular momentum.

## Abstract

In the present work we systematically study the half--lives of proton radioactivity for $51 \leq Z \leq 83$ nuclei based on the Gamow--like model with a screened electrostatic barrier. In this model there are two parameters while considering the screened electrostatic effect of Coulomb potential with the Hulthen potential i.e. the effective nuclear radius parameter r_0 and the screening parameter a. The calculated results can well reproduce the experimental data. In addition, we extend this model to predict the proton radioactivity half--lives of 16 nuclei in the same region within a factor of 2.94, whose proton radioactivity are energetically allowed or observed but not yet quantified. Meanwhile, studying on the proton radioactivity half-life by a type of universal decay law has been done. The results indicate that the calculated half--lives are linearly dependent on Coulomb parameter with the same orbital angular momentum.