{
  "annotation_id": "abbf5301-64db-4b0e-8e74-cd593646c92d",
  "date_created": "2026-03-02T18:00:18.886000Z",
  "date_modified": "2026-03-02T18:00:18.886000Z",
  "file_hash": "fdc94fa435749cea8c196e208929bebfd1fc6940e969518e419967fcadd4fb38",
  "private": false,
  "record": {
    "abstract": "The $\\sigma$-$\\omega$ model of nuclei is studied at leading order in the\n$1/N$ expansion thereby introducing the self consistent Hartree approximation,\nthe Dirac sea corrections and the one fermion loop meson self energies in a\nunified way. For simplicity, the Dirac sea is further treated within a\nsemiclassical expansion to all orders. The well-known Landau pole vacuum\ninstability appearing in this kind of theories is removed by means of a scheme\nrecently proposed in this context. The effect of such removal on the low\nmomentum effective parameters of the model, relevant to describe nuclear matter\nand finite nuclei, is analyzed. The one fermion loop meson self energies are\nfound to have a sizeable contribution to these parameters. However, such\ncontribution turns out to come mostly from the Landau poles and is thus\nspurious. We conclude that the fermionic loop can only be introduced\nconsistently in the $\\sigma$-$\\omega$ nuclear model if the Landau pole problem\nis dealt with properly.",
    "arxiv_id": "nucl-th/9609031",
    "authors": [
      "J. Caro",
      "E. Ruiz Arriola",
      "L. L. Salcedo"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1103/PhysRevC.55.1767",
    "journal_ref": "Phys.Rev.C55:1767-1780,1997",
    "title": "Elimination of the vacuum instability for finite nuclei in the   relativistic $\\sigma$-$\\omega$ model",
    "url": "https://arxiv.org/abs/nucl-th/9609031"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e36c29d3-ef03-4962-b0c9-086a2578d253",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}