{
  "annotation_id": "c14acad6-07b8-4529-88d0-3c62644a62e6",
  "date_created": "2026-03-02T18:00:01.370000Z",
  "date_modified": "2026-03-02T18:00:01.370000Z",
  "file_hash": "7b0a13d4fe6d77616a8fc144c80aa35fb7ee4f4c446309dca7ff1d3b9d999506",
  "private": false,
  "record": {
    "abstract": "We show that relativistic mean fields theories with scalar, $S$, and vector,\n$V$, quadratic radial potentials can generate a harmonic oscillator with exact\npseudospin symmetry {\\it and positive energy bound states} when $S=-V$. The\neigenenergies are quite different from those of the non-relativistic harmonic\noscillator. We also discuss a mechanism for perturbatively breaking this\nsymmetry by introducing a tensor potential. Our results shed light into the\nintrinsic relativistic nature of the pseudospin symmetry, which might be\nimportant in high density systems such as neutron stars.",
    "arxiv_id": "nucl-th/0410096",
    "authors": [
      "R. Lisboa",
      "M. Malheiro",
      "A. S. de Castro",
      "P. Alberto",
      "M. Fiolhais"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1142/S0218271804005675",
    "journal_ref": "Int.J.Mod.Phys. D13 (2004) 1447-1451",
    "title": "Perturbative breaking of the pseudospin symmetry in the relativistic   harmonic oscillator",
    "url": "https://arxiv.org/abs/nucl-th/0410096"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "64b1df21-8079-4a92-aeb1-b34e1aaf5668",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}