Woods-Saxon-Gaussian Potential and Alpha-Cluster Structures of Alpha+Closed Shell Nuclei

Abstract

The Woods-Saxon-Gaussian (WSG) potential is proposed as a new phenomenological potential to describe systematically the level scheme, electromagnetic transitions, and alpha-decay half-lives of the alpha-cluster structures in various alpha+closed shell nuclei. It modifies the original Woods-Saxon (WS) potential with a shifted Gaussian factor centered at the nuclear surface. We determine the free parameters in the WSG potential by reproducing the correct level scheme of ${}^{212}\text{Po}={}^{208}\text{Pb}+\alpha$. It is found that the resulting WSG potential matches with the M3Y double-folding potential at the surface region and makes corrections to the inner part of the cluster-core potential. We also find that the WSG potential with the almost same parameters determined for ${}^{212}$Po (except for a rescaled radius) could also be used to describe alpha-cluster structures in ${}^{20}\text{Ne}={}^{16}\text{O}+\alpha$ and ${}^{44}\text{Ti}={}^{40}\text{Ca}+\alpha$. In all three cases, the calculated values of the level schemes, electromagnetic transitions, and alpha-decay half-lives agree with the experimental data, which shows that the WSG potential could indeed grasp many important features of the alpha-cluster structures in alpha+closed shell nuclei. The study here is a useful complement to the existing cluster-core potentials in literature. The Gaussian form factor centered at the nuclear surface might also help deepen our understanding on the alpha-cluster formation taking place around the same place.

arXiv comment6 pages, 1 figure; accepted version

References in corpus (8)

• Alpha cluster condensation in 12C and 16O
• Nonlocalized Clustering: A New Concept in Nuclear Cluster Structure Physics
• Bound clusters on top of doubly magic nuclei
• Alpha Decay Width of ${}^{212}$Po from a quartetting wave function approach
• A novel manifestation of $\alpha$-clustering: new '$\alpha$ + ${}^{208}$Pb' states in ${}^{212}$Po revealed by their enhanced E1 decays
• Coexistence of 'alpha+ 208Pb' cluster structures and single-particle excitations in 212Po
• $\alpha$-cluster states in ${}^{46,54}$Cr from double-folding potentials
• Repulsive Four-Body Interactions of $\alpha$ Particles and Quasi-Stable Nuclear $\alpha$-Particle Condensates in Heavy Self-Conjugate Nuclei

Cited by in corpus (4)

• Alpha Clustering from the Quartet Model
• $\alpha$ Clustering slightly above ${}^{100}$Sn in the Light of the New Experimental Data on the Superallowed $\alpha$ Decay
• Resonant and Scattering States in the $\alpha +\alpha$ System from the Non-Localized Cluster Model
• $\alpha$-cluster structures above double shell closures via double-folding potentials from chiral effective field theory