{
  "id": "1805.01188",
  "version": "v1",
  "published": "2018-05-03T09:43:05.000Z",
  "updated": "2018-05-03T09:43:05.000Z",
  "title": "Localization of pairing correlations in nuclei within relativistic mean field models",
  "authors": [
    "R. -D. Lasseri",
    "J. -P. Ebran",
    "E. Khan",
    "N. Sandulescu"
  ],
  "comment": "8 pages, 7 figures",
  "categories": [
    "nucl-th"
  ],
  "abstract": "We analyze the localization properties of two-body correlations induced by pairing in the framework of relativistic mean field (RMF) models. The spatial properties of two-body correlations are studied for the pairing tensor in coordinate space and for the Cooper pair wave function. The calculations are performed both with Relativistic-Hatree-Bogoliubov (RHB) and RMF+Projected-BCS (PBCS) models and taking as examples the nuclei $^{66}$Ni, $^{124}$Sn and $^{200}$Pb. It is shown that the coherence length have the same pattern as in previous non-relativistic HFB calculations, i.e., it is maximum in the interior of the nucleus and drops to a minimum in the surface region. In the framework of RMF+PBCS we have also analysed, for the particular case of $^{120}$Sn, the dependence of the coherence length on the intensity of the pairing force. This analysis indicates that pairing is reducing the coherence length by about 25-30 $\\%$ compared to the RMF limit.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-03T09:43:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "relativistic mean field models",
      "pairing correlations",
      "coherence length",
      "localization",
      "cooper pair wave function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}