Quadrupole Deformation β and γ Constraint in a Framework of Antisymmetrized Molecular Dynamics

Abstract

We propose a new method of the β-γ constraint for quadrupole deformation in antisymmetrized molecular dynamics (AMD) to describe various cluster and shell-model structures in the ground and excited states of light nuclei. We apply this method to N=6 isotones, 10Be, 12C, 9Li, and 11B, and find various structures as functions of the deformation parameters, β and γ. In these nuclei, shell-model-like structures appear in the small β region, while cluster structures develop well in the large β region where various geometric configurations of clusters are obtained depending on the γ parameter. For 10Be and 12C, we superpose the basis AMD wave functions obtained by the β-γ constraint method to calculate energy spectra, and prove the advantages of the present method of the two-dimensional β-γ constraint in the framework of AMD.

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