New Geiger-Nuttall law for two-proton radioactivity

TL;DR

This paper introduces a new two-parameter empirical law for two-proton radioactivity, accurately predicting half-lives and extending to 22 candidate nuclei, aligning well with existing models and experimental data.

Contribution

A novel two-parameter empirical formula for two-proton radioactivity is proposed, improving half-life predictions and extending applicability to new candidate nuclei.

Findings

The formula agrees well with experimental and other theoretical models.

Predicted half-lives for 22 candidates are consistent with existing models.

The extension successfully predicts properties of potential 2p emitters.

Abstract

In the present work, combining with the Geiger-Nuttall law, a two-parameter empirical formula is proposed to study the two-proton (2p) radioactivity. Using this formula, the calculated 2p radioactivity half-lives are in good agreement with the experimental data as well as the calculated ones obtained by Goncalves et al: ([Phys. Lett. B 774, 14 (2017)]) using the effective liquid drop model (ELDM), Sreeja et al: ([Eur. Phys. J. A 55, 33 (2019)]) using a four-parameter empirical formula and Cui et al: ([Phys. Rev. C 101: 014301 (2020)]) using a generalized liquid drop model (GLDM). In addition, this two-parameter empirical formula is extended to predict the half-lives of 22 possible 2p radioactivity candidates, whose the 2p radioactivity released energy Q2p>0, obtained from the latest evaluated atomic mass table AME2016. The predicted results have good consistency with ones using other theoretical models such as the ELDM, GLDM and four-parameter empirical formula.