Investigation of proton radioactivity with the effective liquid drop model

TL;DR

This study models proton radioactivity using an improved liquid drop model, achieving good agreement with experimental data and predicting candidate nuclei for proton emission across the periodic table.

Contribution

It introduces a modified liquid drop model with a new nuclear radius formula and variable shape parameters for better half-life predictions.

Findings

The model's deviations are less than 0.8 in logarithmic half-lives.

Root-mean-square deviation of the model is 0.523.

Identifies 11 candidate nuclei for proton radioactivity with Z<51.

Abstract

Proton radioactivity has been investigated using the effective liquid drop model with varying mass asymmetry shape and effective inertial coefficient. An effective nuclear radius constant formula replaces the old empirical one in the calculations. The theoretical half-lives are in good agreement with the available experimental data. All the deviations between the calculated logarithmic half-lives and the experimental values are less than 0.8. The root-mean-square deviation is 0.523. Predictions for the half-lives of proton radioactivity are made for elements across the periodic table. From the theoretical results, there are 11 candidate nuclei for proton radioactivity in the region $Z <51$. In the region $Z >83$, no nuclei are suggested as probable candidate nuclei for proton radioactivity within the selected range of half-lives studied.