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We investigated cluster correlation and nuclear voricity in low-lying $1^-$states of $^{24}$Mg within antisymmetrized molecular dynamics framework. Wefound 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 statewith the strong nuclear vorticity but no prominent cluster structure, and the$1^-$ ($K=0$) state is the compressional dipole state having enhanced clusterstructure but has the weaker vorticity.

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