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.

arXiv comment7 pages, 5 figures

References in corpus (14)

• alpha-nucleus potentials, alpha-decay half-lives, and shell closures for superheavy nuclei
• Alpha-decay half-lives, alpha-capture and alpha-nucleus potential
• $\alpha$ 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
• Systematic study of $\alpha$ decay half-lives for even-even nuclei within a two-potential approach
• The preformation probability inside Alpha-emitters having different ground state spin-parity than daughters
• Systematic study of $\alpha$ decay for isomer related nuclei within a two-potential approach
• Systematic study of $\alpha$ decay for odd-$A$ nuclei within a two-potential approach
• Alpha decay as a probe for the structure of neutron-deficient nuclei
• Systematic study of favored α-decay half-lives of closed shell odd-A and doubly-odd nuclei related to ground and isomeric states
• Generalization of the $N_p{N}_n$ Scheme and the Structure of the Valence Space
• Systematic study of heavy cluster emission from {210-226}^Ra isotopes

Cited by in corpus (5)

• Systematic study of $\alpha$ decay of nuclei around $\mathbf{Z}=82$, $\mathbf{N}=126$ shell closure within the cluster-formation model and proximity potential 1977 formalism
• 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
• Systematic study of proton radioactivity of spherical proton emitters with Skyrme interactions
• $\alpha$ decay properties of ${}^{296}$Og within the two-potential approach