{
  "annotation_id": "78a0f7bd-d144-47a3-8508-b594c641cc65",
  "date_created": "2026-03-02T18:02:41.345000Z",
  "date_modified": "2026-03-02T18:02:41.345000Z",
  "file_hash": "ba373329bc882717e7b58c0f9a50fa6bba42feb5336b512d58b90bb4a7758b4a",
  "private": false,
  "record": {
    "abstract": "We present a calculation scheme for the two-loop vacuum polarization\ncorrection of order $\\alpha^2$ to the Lamb shift of hydrogen-like high-Z atoms.\nThe interaction with the external Coulomb field is taken into account to all\norders in $(Z\\alpha)$. By means of a modified potential approach the problem is\nreduced to the evaluation of effective one-loop vacuum polarization potentials.\nAn expression for the energy shift is deduced within the framework of partial\nwave decomposition performing appropriate subtractions. Exact results for the\ntwo-loop vacuum polarization contribution to the Lamb shift of K- and L-shell\nelectron states in hydrogen-like Lead and Uranium are presented.",
    "arxiv_id": "quant-ph/9707008",
    "authors": [
      "G. Plunien",
      "T. Beier",
      "G. Soff",
      "H. Persson"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Exact two-loop vacuum polarization correctionto the Lamb shift in   hydrogen-like ions",
    "url": "https://arxiv.org/abs/quant-ph/9707008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ce24ceca-7cc3-4db1-a26b-1eac4ec20a01",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}