{
  "annotation_id": "2b5d2810-57d9-4460-9b5f-8356e070ec97",
  "date_created": "2026-03-02T18:00:11.602000Z",
  "date_modified": "2026-03-02T18:00:11.602000Z",
  "file_hash": "118ff26a863b280abe274553ca811a3f2136a4e5375a209f6a117b4d0f18b288",
  "private": false,
  "record": {
    "abstract": "We study the ground--state shell correction energy of a fermionic gas in a\nmean--field approximation.\n  Considering the particular case of 3D harmonic trapping potentials, we show\nthe rich variety of different behaviors (erratic, regular, supershells) that\nappear when the number--theoretic properties of the frequency ratios are\nvaried. For self--bound systems, where the shape of the trapping potential is\ndetermined by energy minimization, we obtain accurate analytic formulas for the\ndeformation and the shell correction energy as a function of the particle\nnumber $N$. Special attention is devoted to the average of the shell correction\nenergy. We explain why in self--bound systems it is a decreasing (and negative)\nfunction of $N$.",
    "arxiv_id": "nucl-th/0703009",
    "authors": [
      "J\u00e9r\u00f4me Roccia",
      "Patricio Leboeuf"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1103/PhysRevC.76.014301",
    "journal_ref": "Phys.Rev.C76:014301,2007",
    "title": "On the ground--state energy of finite Fermi systems",
    "url": "https://arxiv.org/abs/nucl-th/0703009"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c07e49fc-4442-43c1-b249-9a79eb52ad41",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}