New Geiger-Nuttall law for proton radioactivity

TL;DR

This paper introduces a new two-parameter Geiger-Nuttall law for proton radioactivity that accurately fits experimental data and extends predictions to nuclei with Z from 51 to 91.

Contribution

It proposes a novel formula considering nuclear charge and orbital angular momentum, fitting experimental data and extending predictions beyond existing models.

Findings

The new law reproduces experimental data well.

It provides reliable predictions for unmeasured proton emitters.

The model outperforms previous theoretical approaches.

Abstract

In the present work considering the contributions of the daughter nuclear charge and the orbital angular momentum taken away by the emitted proton, we propose a two-parameter formula of new Geiger-Nuttall law for proton radioactivity. A set of universal parameters of this law is obtained by fitting 44 experimental data of proton emitters in the ground state and isomeric state. The calculated results can reproduce the experimental data well. For a comparison, the calculations performed using other theoretical methods, such as UDLP proposed by Qi, et al. [https://journals.aps.org/prc/abstract/10.1103/PhysRevC.85.011303], the CPPM-Guo2013 analyzed by our previous work [Deng, et al., https://link.springer.com/article/10.1140/epja/i2019-12728-0] and the modified Gamow-like model proposed by us [Chen, et al., https://iopscience.iop.org/article/10.1088/1361-6471/ab1a56] are also included. Meanwhile, we extend this new Geiger-Nuttall law to predict the proton radioactivity half-lives for $51 \leq Z \leq 91$ nuclei, whose proton radioactivity is energetically allowed or observed but not yet quantified in NUBASE2016.