{
  "annotation_id": "1fe3f19a-3a16-4d08-8429-38da2fac8ffe",
  "date_created": "2026-03-02T18:01:11.168000Z",
  "date_modified": "2026-03-02T18:01:11.168000Z",
  "file_hash": "90fa01ba529e5e57e8687305c8fc0e422e271cceab9f0210d18e02388e20fbc3",
  "private": false,
  "record": {
    "abstract": "Effects of vacuum polarization modify the energy levels in atoms with an\norbiting particle heavier than an electron. The dominant effect is due to the\nUehling potential. In this paper we consider the relativistic corrections to\nthe energy levels caused by the Uehling potential and in particular the fine\nstructure in muonic and antiprotonic atoms. We derive general expressions and\nconsider in detail specific regions of parameters which allow simple asymptotic\nexpansion. We take into account the recoil effects and anomalous magnetic\nmoment in the case of an antiproton as the orbiting particle.",
    "arxiv_id": "physics/0608177",
    "authors": [
      "E. Yu. Korzinin",
      "V. G. Ivanov",
      "S. G. Karshenboim"
    ],
    "categories": [
      "physics.atom-ph"
    ],
    "doi": "10.1140/epjd/e2006-00181-4",
    "journal_ref": "Eur.Phys.J. D41 (2007) 1-7",
    "title": "Vacuum polarization in muonic and antiprotonic atoms: the fine structure   at medium Z",
    "url": "https://arxiv.org/abs/physics/0608177"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "100dab26-8615-4648-b9c0-3d90c2700061",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}