{
  "annotation_id": "2542d2ab-2829-412e-8f6b-07f78fc4f8e0",
  "date_created": "2026-03-02T18:00:08.026000Z",
  "date_modified": "2026-03-02T18:00:08.026000Z",
  "file_hash": "dae5508efda2dacb7c252648002a2d0948ab88361e3d21ba4f54c59603c2e2b4",
  "private": false,
  "record": {
    "abstract": "We show that a Dirac Hamiltonian with equal scalar and vector harmonic\noscillator potentials has not only a spin symmetry but an U(3) symmetry and\nthat a Dirac Hamiltonian with scalar and vector harmonic oscillator potentials\nequal in magnitude but opposite in sign has not only a pseudospin symmetry but\na pseudo-U(3) symmetry. We derive the generators of the symmetry for each case.",
    "arxiv_id": "nucl-th/0512050",
    "authors": [
      "Joseph N. Ginocchio"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1103/PhysRevLett.95.252501",
    "journal_ref": "Phys.Rev.Lett. 95 (2005) 252501",
    "title": "U(3) and Pseudo-U(3) Symmetry of the Relativistic Harmonic Oscillator",
    "url": "https://arxiv.org/abs/nucl-th/0512050"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3ebb3593-14f0-4f3d-b1b1-55a33023a901",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}