{
  "id": "nucl-th/0602035",
  "version": "v2",
  "published": "2006-02-10T21:44:59.000Z",
  "updated": "2006-05-27T13:55:53.000Z",
  "title": "Gamow shell model and realistic nucleon-nucleon interactions",
  "authors": [
    "G. Hagen",
    "M. Hjorth-Jensen",
    "N. Michel"
  ],
  "comment": "17 pages, revtex. Revised manuscript. Physical Review C, in press",
  "journal": "Phys.Rev.C73:064307,2006",
  "doi": "10.1103/PhysRevC.73.064307",
  "categories": [
    "nucl-th"
  ],
  "abstract": "We present a new and efficient method to obtain a Gamow shell-model basis and matrix elements generated by realistic nucleon-nucleon interactions. We derive a self-consistent Hartree-Fock potential from the renormalized N3LO interaction model. The corresponding Gamow one-body eigenstates are generated in a plane wave basis in order to build a Gamow shell-model set of basis states for the closed shell nuclei 4He and 16O. We address also the problem of representing a realistic nucleon-nucleon interaction in a two-particle Berggren basis in the laboratory frame. To achieve this, an expansion of matrix elements of the residual nucleon-nucleon interaction in a finite set of harmonic oscillator wave functions is used. We show that all loosely bound and narrow resonant states converge surprisingly fast. Even broad resonances in these two-particle valence systems converge within a reasonable number of harmonic oscillator functions. Examples of 6He and 18O Gamow shell-model calculations using 4He and 16}O as closed shell cores are presented. This procedure allows Gamow shell-model calculations to be performed with all realistic nucleon-nucleon interactions and with either momentum or position space representations for the Gamow basis. The possibility to remove the center of mass spuriosity of Gamow shell-model nuclear states with this method is also discussed. Perspectives for nuclear structure calculations of dripline nuclei are outlined.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-05-27T13:55:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "24.30.Gd",
      "21.60.Cs",
      "24.10.Cn",
      "21.10.-k"
    ],
    "keywords": [
      "realistic nucleon-nucleon interaction",
      "gamow shell model",
      "states converge surprisingly fast",
      "gamow shell-model calculations",
      "resonant states converge"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. C"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 710470
    }
  }
}