{
  "annotation_id": "61f20b76-c88e-459d-996f-4835b9511225",
  "date_created": "2026-03-02T18:01:07.073000Z",
  "date_modified": "2026-03-02T18:01:07.073000Z",
  "file_hash": "dfd4782a5c1222d845e10f2643de3389c156d33abdd2bb8d77682080de0cab66",
  "private": false,
  "record": {
    "abstract": "General expressions for quantum electrodynamic corrections to the one-loop\nself-energy [of order alpha(Zalpha)^6] and for the two-loop Lamb shift [of\norder alpha^2(Z\\alpha)^] are derived. The latter includes all diagrams with\nclosed fermion loops. The general results are valid for arbitrary excited non-S\nhydrogenic states and for the normalized Lamb shift difference of S states,\ndefined as Delta_n = n^3 DeltaE(nS) - DeltaE(1S). We present numerical results\nfor one-loop and two-loop corrections for excited S, P and D states. In\nparticular, the normalized Lamb shift difference of S states is calculated with\nan uncertainty of order 0.1 kHz.",
    "arxiv_id": "physics/0603120",
    "authors": [
      "Andrzej Czarnecki",
      "Ulrich D. Jentschura",
      "Krzysztof Pachucki"
    ],
    "categories": [
      "physics.atom-ph"
    ],
    "doi": "10.1103/PhysRevLett.95.180404",
    "journal_ref": "Phys.Rev.Lett. 95 (2005) 180404",
    "title": "Calculation of the One- and Two-Loop Lamb Shift for Arbitrary Excited   Hydrogenic States",
    "url": "https://arxiv.org/abs/physics/0603120"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ca49f379-ac90-4b44-96fd-1513779eb6e8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}