Systematic study of favored α-decay half-lives of closed shell odd-A and doubly-odd nuclei related to ground and isomeric states

2016/08/30 by Xiao-Dong Sun, Ping Guo, Xiao-Hua Li · 1 citation
Physics and Astronomy · #nucl-th #nucl-ex

paper · pdf · doi:10.1103/physrevc.94.024338

published as PhysRevC.94.024338(2016) · 9 pages, 6 figures

arxiv created 2016/08/30 · arxiv updated 2019/04/22

Abstract

In this work, we systematically investigate the favored α-decay half-lives and α preformation probabilities of both odd-A and doubly-odd nuclei related to ground and isomeric states around the doubly magic cores at Z=82, N=82 and at Z=82, N=126, respectively, within a two-potential approach from the view of the valence nucleon (or hole). The results show that the α preformation probability is linear related to N_pN_n or N_pN_nI, where N_p, N_n, and I are the number of valence protons (or holes), the number of valence neutrons (or holes), and the isospin of the parent nucleus, respectively. Fitting the α preformation probabilities data extracted from the differences between experimental data and calculated half-lives without a shell correction, we give two analytic formulas of the α preformation probabilities and the values of corresponding parameters. Using those formulas and the parameters, we calculate the α-decay half-lives for those nuclei. The calculated results can well reproduce the experimental data.

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• 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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