{ "id": "nucl-th/0703035", "version": "v2", "published": "2007-03-13T03:20:50.000Z", "updated": "2007-04-17T00:35:35.000Z", "title": "Origin of $2_1^+$ Excitation Energy Dependence on Valence Nucleon Numbers", "authors": [ "Eunja Ha", "Dongwoo Cha" ], "comment": "9 pages, 5 figures", "journal": "Phys.Rev.C75:057304,2007", "doi": "10.1103/PhysRevC.75.057304", "categories": [ "nucl-th" ], "abstract": "It has been shown recently that a simple formula in terms of the valence nucleon numbers and the mass number can describe the essential trends of excitation energies of the first $2^+$ states in even-even nuclei. By evaluating the first order energy shift due to the zero-range residual interaction, we find that the factor which reflects the effective particle number participating in the interaction from the Fermi orbit governs the main dependence of the first $2^+$ excitation energy on the valence nucleon numbers.", "revisions": [ { "version": "v2", "updated": "2007-04-17T00:35:35.000Z" } ], "analyses": { "subjects": [ "23.20.Lv", "21.10.Re" ], "keywords": [ "valence nucleon numbers", "excitation energy dependence", "first order energy shift", "fermi orbit governs", "zero-range residual interaction" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. C" }, "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "inspire": 746412 } } }