Systematic study of proton radioactivity half-lives

In the present study, on the basis of the screened electrostatic effect of the Coulomb potential, we propose an improved Gamow model within the centrifugal potential in which there are only two adjustable parameters, i.e., the screened parameters t and g, which represent the combined effect of the interaction potential and reduced mass of the emitted proton-daughter nucleus on the half-life of proton radioactivity in the overlapping region. Using this model, we systematically calculated the proton radioactivity half-lives of 31 spherical nuclei and 13 deformed nuclei and obtained corresponding root-mean-square deviations of 0.274 and 0.367, respectively. The relationship between the proton radioactivity half-life of Tl-177(m) and the corresponding angular momentum l removed by the emitted proton is also discussed. In addition, we used the proposed model to predict the proton radioactivity half-lives of 18 nuclei whose proton radioactivity is energetically allowed or observed but not yet quantified in NUBASE2020. For comparison, we used the universal decay law of proton radioactivity proposed by Qi et al.

Automated summary

In this study, an improved Gamow model is proposed based on the screened electrostatic effect of the Coulomb potential. The model includes two adjustable parameters that represent the combined effect of interaction potential and reduced mass on the proton radioactivity half-life. The proton radioactivity half-lives of spherical and deformed nuclei are systematically calculated using this model, with corresponding root-mean-square deviations obtained. The model is also used to predict the proton radioactivity half-lives of certain nuclei and compared with the universal decay law proposed by Qi et al.