{ "id": "0909.2218", "version": "v3", "published": "2009-09-11T19:54:04.000Z", "updated": "2010-03-05T06:05:15.000Z", "title": "Quadrupole Deformation $β$ and $γ$ Constraint in a Framework of Antisymmetrized Molecular Dynamics", "authors": [ "Tadahiro Suhara", "Yoshiko Kanada-En'yo" ], "comment": "23pages, 14 figures", "journal": "Prog. Theor. Phys. 123 (2009), 303-325", "doi": "10.1143/PTP.123.303", "categories": [ "nucl-th" ], "abstract": "We propose a new method of the $\\beta$-$\\gamma$ 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, $^{10}$Be, $^{12}$C, $^{9}$Li, and $^{11}$B, and find various structures as functions of the deformation parameters, $\\beta$ and $\\gamma$. In these nuclei, shell-model-like structures appear in the small $\\beta$ region, while cluster structures develop well in the large $\\beta$ region where various geometric configurations of clusters are obtained depending on the $\\gamma$ parameter. For $^{10}$Be and $^{12}$C, we superpose the basis AMD wave functions obtained by the $\\beta$-$\\gamma$ constraint method to calculate energy spectra, and prove the advantages of the present method of the two-dimensional $\\beta$-$\\gamma$ constraint in the framework of AMD.", "revisions": [ { "version": "v3", "updated": "2010-03-05T06:05:15.000Z" } ], "analyses": { "keywords": [ "antisymmetrized molecular dynamics", "quadrupole deformation", "constraint", "basis amd wave functions", "deformation parameters" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 23, "language": "en", "license": "arXiv", "status": "editable", "inspire": 830992 } } }