{
  "id": "nucl-th/0207013",
  "version": "v1",
  "published": "2002-07-04T18:45:49.000Z",
  "updated": "2002-07-04T18:45:49.000Z",
  "title": "Tensor correlations in the Unitary Correlation Operator Method",
  "authors": [
    "Thomas Neff",
    "Hans Feldmeier"
  ],
  "comment": "73 pages, 65 figures",
  "journal": "Nucl.Phys. A713 (2003) 311-371",
  "doi": "10.1016/S0375-9474(02)01307-6",
  "categories": [
    "nucl-th"
  ],
  "abstract": "We present a unitary correlation operator that explicitly induces into shell model type many-body states short ranged two-body correlations caused by the strong repulsive core and the pronounced tensor part of the nucleon-nucleon interaction. Alternatively an effective Hamiltonian can be defined by applying this unitary correlator to the realistic nucleon-nucleon interaction. The momentum space representation shows that realistic interactions which differ in their short range behaviour are mapped on the same correlated Hamiltonian, indicating a successful provision for the correlations at high momenta. Calculations for He4 using the one- and two-body part of the correlated Hamiltonian compare favorably with exact many-body methods. For heavier nuclei like O16 and Ca40 where exact many-body calculations are not possible we compare our results with other approximations. The correlated single-particle momentum distributions describe the occupation of states above the Fermi momentum. The Unitary Correlation Operator Method (UCOM) can be used in mean-field and shell model configuration spaces that are not able to describe these repulsive and tensor correlations explicitly.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-07-04T18:45:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "21.30.Fe",
      "21.60.-n"
    ],
    "keywords": [
      "unitary correlation operator method",
      "tensor correlations",
      "model type many-body states",
      "type many-body states short",
      "states short ranged two-body"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nucl. Phys. A"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 73,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 589892
    }
  }
}