Cluster correlation and nuclear vorticity in low-lying $1^-$ states of $^{24}$Mg

TL;DR

This study explores the relationship between cluster correlation and nuclear vorticity in low-lying $1^-$ states of $^{24}$Mg, revealing distinct modes with different structural and vorticity characteristics.

Contribution

It provides a detailed analysis of the separate emergence of toroidal and compressional dipole modes in $^{24}$Mg using antisymmetrized molecular dynamics.

Findings

Toroidal dipole state exhibits strong nuclear vorticity without prominent cluster structure.

Compressional dipole state shows enhanced cluster structure with weaker vorticity.

Distinct $K=1$ and $K=0$ states correspond to different dipole modes.

Abstract

We investigated cluster correlation and nuclear voricity in low-lying $1^-$ states of $^{24}$Mg within antisymmetrized molecular dynamics framework. We found that the toroidal and compressional dipole modes separately appear as the $K=1$ and $K=0$ states. The $1^-$ ($K=1$) state is the toroidal dipole state with the strong nuclear vorticity but no prominent cluster structure, and the $1^-$ ($K=0$) state is the compressional dipole state having enhanced cluster structure but has the weaker vorticity.