摘要: 基于结团形成模型（cluster-formation model，CFM）系统地研究了质子数Z=82，中子数N=126闭壳附近的α衰变母核的α衰变预形成因子P_α。计算结果表明：基于结团形成模型计算得到的P_α线性地依赖于价质子（空穴）N_p和价中子（空穴）N_n的乘积。这与前期工作SUN X D，et al.Phys Rev C，2016， 94 （2）：024338；DENG J G，et al.Phys Rev C，2017， 96 （2）：024318得到的结论是一致的，其中，P_α是唯象的且模型依赖的，从α衰变半衰期的理论值和实验值的比值中提取。结合前期工作可以得到这样的结论：对于Z=82，N=126闭壳附近的α衰变母核，其P_α与N_pN_n呈线性关系，且价质子-价中子相互作用在α结团预形成中起了很重要的作用。


In the present work, the α decay preformation factors P_α are systematically studied within the cluster-formation model (CFM) for nuclei around Z=82, N=126 closed shells. The calculations show that the P_α calculated by CFM is linearly dependent on the product of valance protons (holes) and valance neutrons (holes) N_p N_n. It is consistent with our previous worksSUN X D, et al. Phys Rev C, 2016, 94 (2):024338; DENG J G, et al. Phys Rev C, 2017, 96 (2):024318, which P_α are model-dependent and extracted from the ratios of calculated α decay half-lives to experimental data. Combining with our previous works, we confirm that the P_α is linearly dependent on the N_pN_n for nuclei around Z=82, N=126 shell closures. In addition, the valance proton-neutron interaction plays a key role in the α preformation.