Clustering and Triaxial Deformations of $^{40}$Ca

Details Clustering and Triaxial Deformations of $^{40}$Ca Clustering and Triaxial Deformations of $^{40}$Ca

2007-07-05

arxiv.org/abs/0707.0723v1

Phys.Rev.C76:044317,2007

Physics

Nuclear Physics

Nuclear Theory

11pages, 9 figures

Scientific paper

10.1103/PhysRevC.76.044317

We have studied the positive-parity states of $^{40}$Ca using antisymmetrized molecular dynamics (AMD) and the generator coordinate method (GCM). Imposing two different kinds of constraints on the variational calculation, we have found various kinds of $^{40}{\rm Ca}$ structures such as a deformed-shell structure, as well as $\alpha$-$^{36}$Ar and $^{12}$C-$^{28}$Si cluster structures. After the GCM calculation, we obtained a normal-deformed band and a superdeformed band together with their side bands associated with triaxial deformation. The calculated $B(E2)$ values agreed well with empirical data. It was also found that the normal-deformed and superdeformed bands have a non-negligible $\alpha$-$^{36}$Ar cluster component and $^{12}$C-$^{28}$Si cluster component, respectively. This leads to the presence of an $\alpha$-$^{36}$Ar higher-nodal band occurring above the normal-deformed band.

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