Systematic study of $\alpha$ decay for odd-$A$ nuclei within a two-potential approach

Abstract

$\alpha$ decay is usually associated with both ground and low-lying isomeric states of heavy and superheavy nuclei, and the unpaired nucleon plays a key role on $\alpha$ decay. In this work, we systematically studied the $\alpha$ decay half-lives of odd-$A$ nuclei, including both favored and unfavored $\alpha$ decay within the two-potential approach based on the isospin dependent nuclear potential. The $\alpha$ preformation probabilities are estimated by using an analytic formula taking into account the shell structure and proton-neutron correlation, and the parameters are obtained through the $\alpha$ decay half-lives data. The results indicate that in general the $\alpha$ preformation probabilities of even-$Z$, odd-$N$ nuclei are slightly smaller than the odd-$Z$, even-$N$ ones. We found that the odd-even staggering effect may play a more important role on spontaneous fission than $\alpha$ decay. The calculated half-lives can well reproduce the experimental data.

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• 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 $\alpha$ decay for isomer related nuclei within a two-potential approach
• Systematic study of unfavored $\alpha$ decay half-lives of closed shell nuclei related to ground and isomeric states
• Systematic study of proton radioactivity based on Gamow--like model with a screened electrostatic barrier
• $\alpha$ decay properties of nucleus ${}^{297}$Og within two-potential approach
• 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
• Theoretical Investigation of α-decay in Heavy and Superheavy Isomers
• Role of universal function of the nuclear proximity potential: A systematic study on the alpha-decay of heavy/super-heavy nuclei and α-induced reactions