{ "id": "1106.2961", "version": "v1", "published": "2011-06-15T12:51:00.000Z", "updated": "2011-06-15T12:51:00.000Z", "title": "Microscopic and non-adiabatic Schrödinger equation derived from the Generator Coordinate Method based on 0 and 2 quasiparticle HFB states", "authors": [ "Rémi Bernard", "Heloise Goutte", "Daniel Gogny", "Walid Younes" ], "comment": "27 pages, 12 figures, submitted to Phys. Rev. C", "categories": [ "nucl-th" ], "abstract": "A new approach called the Schr\\\"odinger Collective Intrinsic Model (SCIM) has been developed to achieve a microscopic description of the coupling between collective and intrinsic excitations. The derivation of the SCIM proceeds in two steps. The first step is based on a generalization of the symmetric moment expansion of the equations derived in the framework of the Generator Coordinate Method (GCM), when both Hartree-Fock-Bogoliubov (HFB) states and two-quasi-particle excitations are taken into account as basis states. The second step consists in reducing the generalized Hill and Wheeler equation to a simpler form to extract a Schr\\\"odinger-like equation. The validity of the approach is discussed by means of results obtained for the overlap kernel between HFB states and two-quasi-particle excitations at different deformations.", "revisions": [ { "version": "v1", "updated": "2011-06-15T12:51:00.000Z" } ], "analyses": { "subjects": [ "21.60.Jz", "21.10.Pc", "24.75.+i", "21.10.Re" ], "keywords": [ "generator coordinate method", "non-adiabatic schrödinger equation", "quasiparticle hfb states", "microscopic", "two-quasi-particle excitations" ], "tags": [ "journal article" ], "publication": { "doi": "10.1103/PhysRevC.84.044308", "journal": "Physical Review C", "year": 2011, "month": "Oct", "volume": 84, "number": 4, "pages": "044308" }, "note": { "typesetting": "TeX", "pages": 27, "language": "en", "license": "arXiv", "status": "editable", "inspire": 913723, "adsabs": "2011PhRvC..84d4308B" } } }