{
  "id": "1301.3450",
  "version": "v1",
  "published": "2013-01-15T18:45:52.000Z",
  "updated": "2013-01-15T18:45:52.000Z",
  "title": "Unified ab initio approach to bound and unbound states: no-core shell model with continuum and its application to 7He",
  "authors": [
    "Simone Baroni",
    "Petr Navratil",
    "Sofia Quaglioni"
  ],
  "comment": "16 pages, 10 figures",
  "doi": "10.1103/PhysRevC.87.034326",
  "categories": [
    "nucl-th",
    "quant-ph"
  ],
  "abstract": "We introduce a unified approach to nuclear bound and continuum states based on the coupling of the no-core shell model (NCSM), a bound-state technique, with the no-core shell model/resonating group method (NCSM/RGM), a nuclear scattering technique. This new ab initio method, no-core shell model with continuum (NCSMC), leads to convergence properties superior to either NCSM or NCSM/RGM while providing a balanced approach to different classes of states. In the NCSMC, the ansatz for the many-nucleon wave function includes: i) a square-integrable A-nucleon component expanded in a complete harmonic oscillator basis; ii) a binary-cluster component with asymptotic boundary conditions that can properly describe weakly-bound states, resonances and scattering; and, in principle, iii) a three-cluster component suitable for the description of, e.g., Borromean halo nuclei and reactions with final three-body states. The Schroedinger equation is transformed into a system of coupled-channel integral-differential equations that we solve using a modified microscopic R-matrix formalism within a Lagrange mesh basis. We demonstrate the usefulness of the approach by investigating the unbound 7He nucleus.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-01-15T18:45:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "21.60.De",
      "25.10.+s",
      "27.20.+n",
      "24.10.Cn"
    ],
    "keywords": [
      "no-core shell model",
      "unified ab initio approach",
      "unbound states",
      "shell model/resonating group method",
      "application"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review C",
      "year": 2013,
      "month": "Mar",
      "volume": 87,
      "number": 3,
      "pages": "034326"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1210924,
      "adsabs": "2013PhRvC..87c4326B"
    }
  }
}