基于屏蔽静电势垒类Gamow模型的质子放射性系统研究
Systematic study of proton radioactivity based on Gamow--like model with a screened electrostatic barrier
摘要：
本文基于带屏蔽静电势垒的类伽莫夫模型，系统地研究了$51 \leq Z \leq 83$核的质子放射性半衰期。在考虑库仑势与Hulthen势屏蔽静电效应时，该模型有两个参数，即有效核半径参数r_0和屏蔽参数a。计算结果与实验数据吻合较好。此外，我们扩展这个模型来预测质子放射性半衰期的16个核在同一区域内的一个因素为2.94，其质子放射性能量允许或观察到，但尚未量化。同时，利用一种普适衰变规律对质子放射性半衰期进行了研究。结果表明，在轨道角动量相同的情况下，计算的半衰期与库仑参数呈线性关系。
英文摘要：
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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