Cluster states and isoscalar monopole transitions of $^{24}$Mg

TL;DR

This study uses antisymmetrized molecular dynamics to analyze excited $0^+$ states of $^{24}$Mg, revealing mixed mean-field and cluster structures, and predicting novel cluster configurations around 23 MeV.

Contribution

It provides a detailed analysis of the structure of excited $0^+$ states in $^{24}$Mg, including the identification of cluster configurations and predictions of new states.

Findings

$0^+_2$, $0^+_3$, $0^+_5$ have mixed mean-field and cluster nature.

$0^+_8$ is dominated by $^{12}$C+$^{12}$C cluster configuration.

Predicted $5 ext{α}$-pentagon+$ ext{α}$ states around 23 MeV.

Abstract

We investigate structure of the excited $0^+$ states of $^{24}$Mg populated by isoscalar monopole transition from the ground state on the basis of antisymmetrized molecular dynamics calculation with Gogny D1S interaction. The calculated isoscalar monopole strength function shows reasonable agreement with experiment and is consistent with other theoretical calculation. The structure of the excited $0^+$ states with pronounced isoscalar monopole transitions are analyzed. It is found that the $0^+_2$, $0^+_3$ and $0^+_5$ states have mixed nature of mean-field and cluster, and that the $0^+_8$ state is dominated by $^{12}$C+$^{12}$C cluster configuration. In addition, it is predicted that $5\alpha$-pentagon+$\alpha$ states appear around 23 MeV.