{
  "id": "nucl-th/0703009",
  "version": "v2",
  "published": "2007-03-02T16:25:01.000Z",
  "updated": "2007-09-04T14:34:57.000Z",
  "title": "On the ground--state energy of finite Fermi systems",
  "authors": [
    "Jérôme Roccia",
    "Patricio Leboeuf"
  ],
  "comment": "10 pages, 5 figures, 2 tables",
  "journal": "Phys.Rev.C76:014301,2007",
  "doi": "10.1103/PhysRevC.76.014301",
  "categories": [
    "nucl-th"
  ],
  "abstract": "We study the ground--state shell correction energy of a fermionic gas in a mean--field approximation. Considering the particular case of 3D harmonic trapping potentials, we show the rich variety of different behaviors (erratic, regular, supershells) that appear when the number--theoretic properties of the frequency ratios are varied. For self--bound systems, where the shape of the trapping potential is determined by energy minimization, we obtain accurate analytic formulas for the deformation and the shell correction energy as a function of the particle number $N$. Special attention is devoted to the average of the shell correction energy. We explain why in self--bound systems it is a decreasing (and negative) function of $N$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-09-04T14:34:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "21.10.Dr",
      "21.60.-n",
      "03.65.Sq"
    ],
    "keywords": [
      "finite fermi systems",
      "ground-state energy",
      "ground-state shell correction energy",
      "self-bound systems",
      "3d harmonic trapping potentials"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. C"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 745678
    }
  }
}