Systematic study of proton radioactivity based on Gamow--like model with a screened electrostatic barrier

In the present work we systematically study the half-lives of proton radioactivity for 51 <= Z <= 83 nuclei based on the Gamow-like model with a screened electrostatic barrier. In this model there are two parameters while considering the screened electrostatic effect of Coulomb potential with the Hulthen potential, i.e. the effective nuclear radius parameter r(0) and the screening parameter a. The calculated results can reproduce the experimental data well. In addition, we extend this model to predict the proton radioactivity half-lives of 16 nuclei in the same region within a factor of 2.94, whose proton radioactivity are energetically allowed or observed but not yet quantified. Meanwhile, studying of the proton radioactivity half-life by a type of universal decay law has been done. The results indicate that the calculated half-lives are linearly dependent on Coulomb parameter with the same orbital angular momentum.