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arXiv · 1904.08243

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

Jiu-Long Chen·Xiao-Hua Li·Jun-Hao Cheng·Jun-Gang Deng·Xi-Jun Wu
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Abstract

In the present work we systematically study the half--lives of proton radioactivity for $51 \leq Z \leq 83$ 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 well reproduce the experimental data. 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 on 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.

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Jiu-Long Chen, Xiao-Hua Li, Jun-Hao Cheng, Jun-Gang Deng, Xi-Jun Wu. 2019-04-17. Systematic study of proton radioactivity based on Gamow--like model with a screened electrostatic barrier. https://doi.org/10.1088/1361-6471%2Fab1a56

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