Systematic study of the α decay preformation factors of the nuclei around the Z = 82, N = 126 shell closures within the generalized liquid drop model *
Hong-Ming Liu, You-Tian Zou, Xiao Pan, Xiao-Jun Bao, Xiao‐Hua Li
Abstract
Abstract In this study, we systematically investigate the decay preformation factors, , and the decay half-lives of 152 nuclei around Z = 82, N = 126 closed shells based on the generalized liquid drop model (GLDM) with being extracted from the ratio of the calculated decay half-life to the experimental one. The results show that there is a remarkable linear relationship between and the product of valance protons (holes) and valance neutrons (holes) . At the same time, we extract the decay preformation factor values of the even–even nuclei around the Z = 82, N = 126 closed shells from the study of Sun [J. Phys. G: Nucl. Part. Phys., 45 : 075106 (2018)], in which the decay was calculated by two different microscopic formulas. We find that the decay preformation factors are also related to . Combining with our previous studies [Sun , Phys. Rev. C, 94 : 024338 (2016); Deng , ibid. 96 : 024318 (2017); Deng , ibid. 97 : 044322 (2018)] and that of Seif [Phys. Rev. C, 84 : 064608 (2011)], we suspect that this phenomenon of linear relationship for the nuclei around the above closed shells is model-independent. This may be caused by the effect of the valence protons (holes) and valence neutrons (holes) around the shell closures. Finally, using the formula obtained by fitting the decay preformation factor data calculated by the GLDM, we calculate the decay half-lives of these nuclei. The calculated results agree with the experimental data well.