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

2019/03/13 by Jun-Gang Deng, Jie-Cheng Zhao, Dong Xiang +1
Physics and Astronomy · #nucl-th

paper · pdf · doi:10.1103/physrevc.96.024318

published as Phys. Rev. C 2017 · 7 pages, 5 figures

arxiv created 2019/03/13 · arxiv updated 2019/04/18

Abstract

In present work, the unfavored \mathcalα decay half-lives and \mathcalα preformation probabilities of closed shell nuclei related to ground and isomeric states around Z=82, N=82 and 126 shell closures are investigated by adopting two-potential approach from the perspective of valence nucleon (hole) and isospin asymmetry of the parent nucleus. The results indicate that \mathcalα preformation probability is linear dependence on Np Nn or Np Nn I, the same as the case of favored \mathcalα decay in our previous work [X.-D. Sun et al., Phys. Rev. C 94, 024338 (2016)]. Np, Nn, and I represent the number of valence protons (holes), the number of valence neutrons (holes), and the isospin of the parent nucleus, respectively. Fitting the \mathrmα preformation probabilities data extracted from the differences between experimental data and calculated half-lives without a shell correction, we give two linear formulas of the \mathcalα preformation probabilities and the values of corresponding parameters. Based on the formulas and corresponding parameters, we calculate the \mathrmα decay half-lives for those nuclei. The calculated results can well reproduce the experimental data.

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