$\alpha$-cluster excited states in $^{32}$S

TL;DR

This paper investigates $ ext{α}$-cluster excited states in $^{32}$S using an extended cluster model that includes core deformation, rotation, and cluster breaking, revealing the significant impact of core rotation on these states.

Contribution

The study introduces an extended $^{28}$Si+$ ext{α}$ cluster model incorporating core deformation, rotation, and cluster breaking, providing new insights into the structure of $ ext{α}$-cluster states in $^{32}$S.

Findings

Core rotation significantly affects $ ext{α}$-cluster excited states.

Core deformation and cluster breaking have minor effects.

Cluster states are near the $^{28}$Si+$ ext{α}$ threshold energy.

Abstract

$\alpha$-cluster excited states in $^{32}$S are investigated with an extended $^{28}$Si+$\alpha$ cluster model, in which the $^{28}$Si core deformation and rotation, and the $\alpha$-cluster breaking are incorporated. In the GCM calculation with the extended $^{28}$Si+$\alpha$ cluster model, the $\alpha$-cluster excited states are obtained near the $^{28}$Si+$\alpha$ threshold energy. The $^{28}$Si core deformation and rotation effects, and also the $\alpha$-clusters breaking in the $^{28}$Si+$\alpha$ system are discussed. It is found that the rotation of the oblately deformed $^{28}$Si core gives a significant effect to the $\alpha$-cluster excited states whereas the $\alpha$-cluster breaking gives only a minor effect.