New Constraint of Clustering for AMD and Its Application to the Study of $2\alpha$-$^{12}$C Structure of $^{20}$Ne

Abstract

A new constraint of clustering for the AMD calculation is proposed. This new constraint gives us large improvement in studying the cluster structure by AMD which sometimes meets difficulty in giving rise to some specific cluster configurations. The usefulness of this new constraint is verified by applying it to the the study of the third $K^\pi = 0^+$ band of $^{20}$Ne which has been discussed to have $2\alpha$-$^{12}$C structure. This band has not been easy even to construct by AMD. We see that the AMD+GCM calculation by the use of the new constraint gives rise to the third $K^\pi = 0^+$ band which contains the $2\alpha$-$^{12}$C structure as an important component.