{
  "annotation_id": "f7c10e5e-d8b5-4dcc-a88c-fdecfa249ddb",
  "date_created": "2026-03-02T18:02:44.906000Z",
  "date_modified": "2026-03-02T18:02:44.906000Z",
  "file_hash": "fe0a00fb2dad0b95a8fe71305ce5e02c71d765322fecc6c019c409a966dabcbf",
  "private": false,
  "record": {
    "abstract": "A calculation of the simplest part of the second-order electron self-energy\n(loop after loop irreducible contribution) for hydrogen-like ions with nuclear\ncharge numbers $3 \\leq Z \\leq 92$ is presented. This serves as a test for the\nmore complicated second-order self-energy parts (loop inside loop and crossed\nloop contributions) for heavy one-electron ions. Our results are in strong\ndisagreement with recent calculations of Mallampalli and Sapirstein for low $Z$\nvalues but are compatible with the two known terms of the analytical\n$Z\\alpha$-expansion.",
    "arxiv_id": "quant-ph/9904035",
    "authors": [
      "I. Goidenko",
      "L. Labzowsky",
      "A. Nefiodov",
      "G. Plunien",
      "G. Soff"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevLett.83.2312",
    "journal_ref": "Phys.Rev.Lett.83:2312,1999",
    "title": "The second-order electron self-energy in hydrogen-like ions",
    "url": "https://arxiv.org/abs/quant-ph/9904035"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e19cfdd2-186d-4583-89e8-f84f819b44af",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}