Shell and cluster structures in $^{20}$Ne in the variation of multiple bases of the antisymmetrized molecular dynamics

TL;DR

This paper uses an advanced antisymmetrized molecular dynamics method to analyze various shell and cluster structures in $^{20}$Ne, successfully describing multiple bands and states with detailed transition evaluations.

Contribution

The study introduces a superposition scheme of multiple AMD bases, enabling comprehensive description of shell and cluster structures in $^{20}$Ne, including states difficult for previous models.

Findings

Confirmed shell and cluster structures in multiple bands.

Described deformed and spherical states accurately.

Evaluated monopole and quadrupole transitions.

Abstract

We investigate the structures of $^{20}$Ne in the variation of the multiple bases of the antisymmetrized molecular dynamics (AMD). In this method, the multiple AMD bases are superposed and optimized simultaneously in the total-energy variation. This scheme is beneficial for describing the various configurations in $^{20}$Ne. In the results, we confirm the shell and cluster structures in the $K^\pi=0^+_{1-4}$ bands, such as the deformed states in the $K^\pi=0^+_{1,4}$ bands with the $\alpha$ cluster development, and the spherical shell-like states in the $K^\pi=0^+_2$ band, the latter of which is difficult to describe in the previous AMD calculations imposing the quadrupole deformation. We evaluate the monopole and quadrupole transitions in these states. The negative parity states of $^{20}$Ne with $K^\pi=0^-$ and $2^-$ are discussed in relation to the shell and cluster structures. As a result, six kinds of the $K^\pi$ bands in $^{20}$Ne are described comprehensively in the microscopic framework of nuclei.