Deformations and clustering correlations in $p$- and $sd$-shell nuclei using the Gogny and Skyrme interactions

TL;DR

This study investigates the structures of p- and sd-shell nuclei using antisymmetrized molecular dynamics with Gogny and Skyrme interactions, revealing shape coexistence, cluster formations, and interaction-dependent energy differences.

Contribution

It introduces a detailed analysis of nuclear deformations and clustering in p- and sd-shell nuclei using two effective interactions, highlighting their similarities and differences.

Findings

Deformation energy curves show shape coexistence in sd-shell nuclei.

Cluster structures are often involved in nuclear deformations.

Results vary between Gogny and Skyrme interactions in highly deformed regions.

Abstract

Structures of $p$- and $sd$-shell nuclei are studied with the deformed-basis antisymmetrized molecular dynamics method using the Gogny D1S and Skyrme SLy7 forces as effective interactions. By the energy variation with a constraint, energy curves as functions of quadrupole deformation parameter $\beta$ are obtained. The energy curves for $sd$-shell nuclei show structure change as a function of $\beta$, and suggest shape coexistence. Nuclear structures in the deformed region are discussed focusing on deformations and clustering. It is found that the deformations often involve cluster structures. Effective-interaction dependence is also discussed comparing the results obtained with the two effective interactions. Although the two forces give similar results when cluster structures do not develop clearly, they give different energies in the largely deformed region when an $\alpha$ cluster develops.