在多种版本近邻势形式下对铅后核中集团放射性的系统研究
Systematic study of cluster radioactivity in trans-lead nuclei within various versions of proximity potential formalisms
AI总结：
本文基于CPPM并纳入集团预形成概率，系统检验28种近邻势形式对26个铅后核集团放射性半衰期的描述，确定Prox.77-12与Prox.81最优，并预测51个候选核半衰期。
摘要：
在本工作中，基于库仑势与近邻势模型（CPPM）框架，我们通过考虑集团预形成概率，系统研究了26个铅后核的集团放射性半衰期；R. Blendowske和H. Walliser发现该概率对发射集团具有简单的质量依赖关系[Phys. Rev. Lett. 61, 1930(1988)]。同时，我们考察了28种不同版本的近邻势形式，它们是已知最完整的近邻势形式，并已被提出用于描述质子放射性、双质子放射性、α衰变、重离子放射性、准弹性散射、聚变反应及其他应用。计算结果表明，记为Prox.77-12的1977年近邻势修正形式和记为Prox.81的1981年近邻势，是研究集团放射性最合适的近邻势形式，因为实验数据与所得相关理论结果之间的均方根偏差最小，两者数值均为0.681。作为比较，还使用了Qi等人提出的普适衰变定律（UDL）[Phys. Rev. C 80, 044326 (2009)]、Ni等人提出的α衰变与集团放射性半衰期统一公式[Phys. Rev. C 78, 044310 (2008)]，以及Horoi等人提出的集团衰变标度律（SL）[J. Phys. G 30, 945 (2004)]。此外，利用结合Prox.77-12、Prox.77-1、Prox.77-2和Prox.81的CPPM，我们预测了51个潜在集团放射性候选核的半衰期；这些候选核的集团放射性在能量上是允许的，或已被观测到但在NUBASE2020中尚未量化。预测结果与使用所比较的半经验和/或经验公式获得的结果处于同一数量级。
英文摘要：
In this work, based on the framework of the Coulomb and proximity potential model (CPPM), we systematically study the cluster radioactivity half-lives of 26 trans-lead nuclei by considering the cluster preformation probability which is found to possess a simple mass dependence on the emitted cluster by R. Blendowske and H. Walliser [Phys. Rev. Lett. 61, 1930(1988)]. Meanwhile, we investigate 28 different versions of the proximity potential formalisms, which are the most complete known proximity potential formalisms and have been proposed for the description of proton radioactivity, two-proton radioactivity, α decay, heavy-ion radioactivity, quasi-elastic scattering, fusion reactions and other applications. The calculated results show that the modified forms of proximity potential 1977 denoted as Prox.77-12 and the proximity potential 1981 denoted as Prox.81 are the most appropriate proximity potential formalisms for the study of cluster radioactivity as the root-mean-square deviation between experimental data and relevant theoretical results obtained are least and the both values are 0.681. For comparison, a universal decay law (UDL) proposed by Qi et al. [Phys. Rev. C 80, 044326 (2009)], a unified formula of half-lives for α decay and cluster radioactivity proposed by Ni et al. [Phys. Rev. C 78, 044310 (2008)] and a scaling law (SL) in cluster decay proposed by Horoi et al. [J. Phys. G 30, 945 (2004)] are also used. In addition, utilizing CPPM with Prox.77- 12, Prox.77-1, Prox.77-2 and Prox.81, we predict the half-lives of 51 potential cluster radioactive candidates whose cluster radioactivity is energetically allowed or observed but not yet quantified in NUBASE2020. The predicted results are in the same order of magnitude with those obtained by using the compared semi-empirical and/or empirical formulae.
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