{
  "annotation_id": "639fe371-32b9-468c-a458-8ef4e42c4b3b",
  "date_created": "2026-03-02T18:00:50.253000Z",
  "date_modified": "2026-03-02T18:00:50.253000Z",
  "file_hash": "8ea83913dbf871c23d91d393066f8c15401e0d2a10475a41e484d2c35d7bc9f8",
  "private": false,
  "record": {
    "abstract": "Corrections of order $\\alpha^3(Z\\alpha)^5m$ to the Lamb shift and corrections\nof order $\\alpha^3(Z\\alpha)E_F$ to hyperfine splitting generated by the\ninsertions of the three-loop one-particle reducible diagrams with radiative\nphotons in the electron line are calculated. The calculations are performed in\nthe Yennie gauge.",
    "arxiv_id": "physics/0405039",
    "authors": [
      "Michael I. Eides",
      "Valery A. Shelyuto"
    ],
    "categories": [
      "physics.atom-ph",
      "hep-ph"
    ],
    "doi": "10.1103/PhysRevA.70.022506",
    "journal_ref": "Phys.Rev. A70 (2004) 022506",
    "title": "Three-Loop Reducible Radiative Photon Contributions to Lamb Shift and   Hyperfine Splitting",
    "url": "https://arxiv.org/abs/physics/0405039"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b8aaa638-5f61-47fc-92bc-922601e704e0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}