Systematic study of \boldsymbol\mathcalα decay of nuclei around \boldsymbolZ=82, \boldsymbolN=126 shell closure within the cluster-formation model and proximity potential 1977 formalism

2018/04/17 by Jun-Gang Deng, Jie-Cheng Zhao, Peng-Cheng Chu +1 · 1 citation
Physics and Astronomy · #nucl-th #nucl-ex

paper · pdf · doi:10.1103/physrevc.97.044322

published as Phys. Rev. C 2018 · 4 figures, 7 tables; Accepted by Physical Review C

arxiv created 2018/04/17 · arxiv updated 2019/04/18

Abstract

In the present work, we systematically study the \mathcalα decay preformation factors P_α within the cluster-formation model and \mathcalα decay half-lives by the proximity potential 1977 formalism for nuclei around Z=82, N=126 closed shells. The calculations show that the realistic P_α is linearly dependent on the product of valance protons (holes) and valance neutrons (holes) N_pN_n. It is consistent with our previous works [X.-D. Sun et al., \hrefhttps://journals.aps.org/prc/abstract/10.1103/PhysRevC.94.024338 Phys. Rev. C 94, 024338 (2016), J.-G. Deng et al., \hrefhttps://journals.aps.org/prc/abstract/10.1103/PhysRevC.96.024318Phys. Rev. C 96, 024318 (2017)], which P_α are model-dependent and extracted from the ratios of calculated \mathcalα half-lives to experimental data. Combining with our previous works, we confirm that the valance proton-neutron interaction plays a key role in the \mathcalα preformation for nuclei around Z=82, N=126 shell closures whether the P_α is model-dependent or microcosmic. In addition, our calculated \mathcalα decay half-lives by using the proximity potential 1977 formalism taking P_α evaluated by the cluster-formation model can well reproduce the experimental data and significantly reduce the errors.

Citations

• Systematic study of unfavored \mathcalα decay half-lives of closed shell nuclei related to ground and isomeric states

Cited by

• Systematic study of the α decay preformation factor of nuclei around the \boldsymbolZ=82, \boldsymbolN=126 shell closures within a generalized liquid drop model

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