{
  "id": "nucl-th/0412004",
  "version": "v2",
  "published": "2004-12-02T00:57:57.000Z",
  "updated": "2005-03-19T23:00:54.000Z",
  "title": "Effective operators within the ab initio no-core shell model",
  "authors": [
    "Ionel Stetcu",
    "Bruce R. Barrett",
    "Petr Navratil",
    "James P. Vary"
  ],
  "comment": "9 pages, figure added, clarified discussion, to be published in Phys. Rev. C",
  "journal": "Phys.Rev. C71 (2005) 044325",
  "doi": "10.1103/PhysRevC.71.044325",
  "categories": [
    "nucl-th"
  ],
  "abstract": "We implement an effective operator formalism for general one- and two-body operators, obtaining results consistent with the no-core shell model (NCSM) wave functions. The Argonne V8' nucleon-nucleon potential was used in order to obtain realistic wave functions for 4He, 6Li and 12C. In the NCSM formalism, we compute electromagnetic properties using the two-body cluster approximation for the effective operators and obtain results which are sensitive to the range of the bare operator. To illuminate the dependence on the range, we employ a Gaussian two-body operator of variable range, finding weak renormalization of long range operators (e.g., quadrupole) in a fixed model space. This is understood in terms of the two-body cluster approximation which accounts mainly for short-range correlations. Consequently, short range operators, such as the relative kinetic energy, will be well renormalized in the two-body cluster approximation.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-03-19T23:00:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "27.20.+n",
      "21.60.Cs",
      "23.20.Js",
      "27.10.+h"
    ],
    "keywords": [
      "ab initio no-core shell model",
      "effective operator",
      "two-body cluster approximation",
      "wave functions",
      "two-body operator"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. C"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 665914
    }
  }
}