{
  "annotation_id": "7b65fdcc-c473-4c44-b9d0-819b56c0be01",
  "date_created": "2026-03-02T18:00:01.597000Z",
  "date_modified": "2026-03-02T18:00:01.597000Z",
  "file_hash": "32afe9724373ac2e402d87cb33848f999bcbca6afd06fdeedaa066e83af3afe7",
  "private": false,
  "record": {
    "abstract": "We study the relativistic Hartree approach with the exact treatment of the\nvacuum polarization in the Walecka sigma-omega model. The contribution from the\nvacuum polarization of nucleon-antinucleon field to the source term of the\nmeson fields is evaluated by performing the energy integrals of the Dirac Green\nfunction along the imaginary axis. With the present method of the vacuum\npolarization in finite system, the total binding energies and charge radii of\n16O and 40Ca can be reproduced. On the other hand, the level-splittings in the\nsingle-particle level, in particular the spin-orbit splittings, are not\ndescribed nicely because the inclusion of vacuum effect provides a large\neffective mass with small meson fields. We also show that the derivative\nexpansion of the effective action which has been used to calculate the vacuum\ncontribution for finite nuclei gives a fairly good approximation.",
    "arxiv_id": "nucl-th/0408069",
    "authors": [
      "Akihiro Haga",
      "Setsuo Tamenaga",
      "Hiroshi Toki",
      "Yataro Horikawa"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1103/PhysRevC.70.064322",
    "journal_ref": "Phys.Rev. C70 (2004) 064322",
    "title": "Relativistic Hartree approach with exact treatment of vacuum   polarization for finite nuclei",
    "url": "https://arxiv.org/abs/nucl-th/0408069"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "db1469c0-74f0-40a5-a1a5-17d72991dba0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}