{
  "id": "nucl-th/0408070",
  "version": "v1",
  "published": "2004-08-27T14:58:07.000Z",
  "updated": "2004-08-27T14:58:07.000Z",
  "title": "Extrapolation method in shell model calculations with deformed basis",
  "authors": [
    "Takahiro Mizusaki"
  ],
  "comment": "5 pages, 2 figures, accepted for publication in Phys. Rev. C",
  "journal": "Phys.Rev. C70 (2004) 044316",
  "doi": "10.1103/PhysRevC.70.044316",
  "categories": [
    "nucl-th"
  ],
  "abstract": "An extrapolation method in shell model calculations with deformed basis is presented, which uses a scaling property of energy and energy variance for a series of systematically approximated wave functions to the true one. Such approximated wave functions are given by variation-after-projection method concerning the full angular momentum projection. This extrapolation needs energy variance, which amounts to the calculation of expectation value of square of Hamiltonian $\\hat{H}^2$. We present the method to evaluate this matrix element and show that large reduction of its numerical computation can be done by taking an advantage of time-reversal symmetry. The numerical tests are presented for $fp$ shell calculations with a realistic residual interaction.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-08-27T14:58:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "21.60.Cs",
      "21.60.Ev"
    ],
    "keywords": [
      "shell model calculations",
      "extrapolation method",
      "deformed basis",
      "approximated wave functions",
      "extrapolation needs energy variance"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. C"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 657570
    }
  }
}