In the present work, we systematically study the α decay preformation factors Pα within the cluster-formation model and α decay half-lives by the proximity potential 1977 formalism for nuclei around Z = 82, N = 126 closed shells. The calculations show that the realistic Pα is linearly dependent on the product of valance protons (holes) and valance neutrons (holes) NpNn. It is consistent with our previous works [X.-D. Sun et al., Phys. Rev. C 94, 024338 (2016), J.-G. Deng et al., Phys. Rev. C 96, 024318 (2017)], which Pα are model-dependent and extracted from the ratios of calculated α half-lives to experimental data. Combining with our previous works, we confirm that the valance proton-neutron interaction plays a key role in the α preformation for nuclei around Z = 82, N = 126 shell closures whether the Pα is model-dependent or microcosmic. In addition, our calculated α decay half-lives by using the proximity potential 1977 formalism taking Pα evaluated by the cluster-formation model can well reproduce the experimental data and significantly reduce the errors.

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α decay properties of 296 Og within the two-potential approach * Jun-Gang Deng() 1 Jie-Cheng Zhao( ) 1 Jiu-Long Chen( ) 1 Xi-Jun Wu( ) 2;1) Xiao-Hua Li( ) 1,3,4;2)