$α$-cluster excited states in $^{32}$S

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

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