NpNn方案下超铅核的簇放射性预形成概率
Cluster radioactivity preformation probability of trans-lead nuclei in the scheme of NpNn
AI总结：
本研究通过微观与模型依赖两种方法，系统探究超铅核NpNn及NpNnI方案下的簇放射性预形成概率Pc，验证了对数Pc与二者的线性关系，并讨论了簇放射性预形成机制。
摘要：
本工作系统研究了超铅核中价粒子（空穴）有效数的NpNn方案下的簇放射性预形成概率Pc。研究既探索了NpNn的简化参数化形式，也研究了该乘积与同位旋不对称度I相乘得到的NpNnI形式。Pc的计算分别采用微观方法和模型依赖方法开展。在微观方法中，基于我们此前的工作[Chin. Phys. C 47,014101 (2023)]，当发射簇的质量数Ac小于28时，结合簇形成模型（CFM）与Pc和α衰变预形成概率Pα的指数关系计算Pc；当Ac大于28时，通过Ren等人[Phys. Rev. C 70,034304 (2004)]提出的Pc对衰变产物的电荷数依赖关系得到Pc。在模型依赖方法中，通过Dong等人[Eur. Phys. J. A 41,197 (2009)]提出的统一裂变模型（UFM）计算得到的簇放射性半衰期与实验半衰期的比值提取Pc。两种方法的结果均表明，对数形式的Pc与NpNn及NpNnI均呈线性关系。为进行比较，本研究还采用了母核质量数依赖的解析公式以及K. Wei和H. F. Zhang提出的模型[Phys. Rev. C 96,021601(R)(2017)]。此外，本工作还讨论了簇放射性的预形成机制。
英文摘要：
In the present work, the cluster radioactivity preformation probability Pc in the scheme of NpNn for the effective number of the valence particles (holes) in trans-lead nuclei has been systematically investigated. This quantity has been explored in the simplified parametrization of NpNn as well as the multiplication NpNnI of this product with the isospin asymmetry I. The calculations for Pc are both performed in microscopic and model-dependent way. Within the microscopic approach, based on our previous work [Chin. Phys. C 47,014101 (2023)], Pc is calculated in cluster formation model (CFM) combined with the exponential relationship of Pc to the alpha decay preformation probability P alpha when the mass number of the emitted cluster Ac less than 28. While Ac greater than 28, Pc is obtained through the charge-number dependence of Pc on the decay products proposed by Ren et al. [Phys. Rev. C 70,034304 (2004)]. In the model-dependent approach, Pc is extracted through the ratios from calculated cluster radioactivity half-lives in the framework of unified fission model (UFM) proposed by Dong et al. [Eur. Phys. J. A 41,197 (2009)] to experimental ones. Both of the results show Pc in logarithmic form are linear to NpNn as well as NpNnI. For comparison, the parent-mass-number dependence analytical formula as well as the model proposed by K. Wei and H. F. Zhang [Phys. Rev. C 96,021601(R)(2017)] are also used. Furthermore, the preformation mechanic for cluster radioactivity has also been discussed.
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