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

Abstract

In present work, the unfavored $\alpha$ decay half-lives and $\alpha$ 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 $\alpha$ preformation probability is linear dependence on $N_p{N}_n$ or $N_p{N}_{n}I$, the same as the case of favored $\alpha$ decay in our previous work [X.-D. Sun \textit{et al.}, Phys. Rev. C 94, 024338 (2016)]. $N_p$, $N_n$, 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 $\alpha$ 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 $\alpha$ preformation probabilities and the values of corresponding parameters. Based on the formulas and corresponding parameters, we calculate the $\alpha$ decay half-lives for those nuclei. The calculated results can well reproduce the experimental data.

7 pages, 5 figures

References in corpus (5)

• $\alpha$ particle preformation in heavy nuclei and penetration probability
• Universal decay rule for reduced widths
• Proton radioactivity within a generalized liquid drop model
• Alpha Cluster Formation and Decay in Quartetting Wave Function Approach
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Cited by in corpus (2)

• Systematic study of proton radioactivity based on Gamow--like model with a screened electrostatic barrier
• Systematic study of $\alpha$ decay half-lives based on Gamow--like model with a screened electrostatic barrier