Two-proton radioactivity within a generalized liquid drop model

TL;DR

This paper extends the generalized liquid drop model to accurately predict two-proton radioactivity half-lives, matching experimental data and providing predictions for future experimental candidates.

Contribution

The study introduces an extension of the GLDM to calculate $2p$ radioactivity half-lives and demonstrates its comparable accuracy with existing models.

Findings

GLDM accurately describes $2p$ radioactivity half-lives

The model's predictions align well with experimental data

Predicted half-lives for potential candidates aid future experiments

Abstract

The generalized liquid drop model (GLDM) is firstly extended to study the two-proton ($2p$) radioactivity half-lives of the ground-state of nuclei. According to the comparison between the calculated half-lives and the experimental data, it is shown that the GLDM describes the $2p$ radioactivity half-lives well. In addition, by comparing its accuracy with other models, it is found that the GLDM has a comparable accuracy with them. Finally, the $2p$ radioactivity half-lives of some most probable candidates are predicted with the GLDM by inputting the \textit{Q}$_{2p}$ values (the released energy of the $2p$ radioactivity) from the updated AME 2016 Mass Table, which may be useful for future experiments.