{
  "id": "1503.07144",
  "version": "v1",
  "published": "2015-03-24T19:23:00.000Z",
  "updated": "2015-03-24T19:23:00.000Z",
  "title": "Infrared length scale and extrapolations for the no-core shell model",
  "authors": [
    "K. A. Wendt",
    "C. Forssén",
    "T. Papenbrock",
    "D. Sääf"
  ],
  "comment": "7 pages, 4 figures",
  "categories": [
    "nucl-th"
  ],
  "abstract": "We precisely determine the infrared (IR) length scale of the no-core shell model (NCSM). In the NCSM, the $A$-body Hilbert space is truncated by the total energy, and the IR length can be determined by equating the intrinsic kinetic energy of $A$ nucleons in the NCSM space to that of $A$ nucleons in a $3(A-1)$-dimensional hyper-radial well with a Dirichlet boundary condition for the hyper radius. We demonstrate that this procedure indeed yields a very precise IR length by performing large-scale NCSM calculations for $^{6}$Li. We apply our result and perform accurate IR extrapolations for bound states of $^{4}$He, $^{6}$He, $^{6}$Li, $^{7}$Li. We also attempt to extrapolate NCSM results for $^{10}$B and $^{16}$O with bare interactions from chiral effective field theory over tens of MeV.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-24T19:23:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "21.60.De",
      "21.10.Dr",
      "03.65.Aa"
    ],
    "keywords": [
      "no-core shell model",
      "infrared length scale",
      "perform accurate ir extrapolations",
      "ir length",
      "dirichlet boundary condition"
    ],
    "publication": {
      "doi": "10.1103/PhysRevC.91.061301"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1355419
    }
  }
}