{
  "annotation_id": "5b58df2b-1797-421e-b2c4-6350379e586c",
  "date_created": "2026-03-02T18:01:07.083000Z",
  "date_modified": "2026-03-02T18:01:07.083000Z",
  "file_hash": "8eba191ded91a7c45098d7f276fcbc53df82ba71d56c48573c3e386c69d11262",
  "private": false,
  "record": {
    "abstract": "We calculate the one- and two-loop corrections of order alpha(Zalpha)^6 and\nalpha^2(Zalpha)^6 respectively, to the Lamb shift in hydrogen-like systems\nusing the formalism of nonrelativistic quantum electrodynamics. We obtain\ngeneral results valid for all hydrogenic states with nonvanishing orbital\nangular momentum and for the normalized difference of S-states. These results\ninvolve the expectation value of local effective operators and relativistic\ncorrections to Bethe logarithms. The one-loop correction is in agreement with\nprevious calculations for the particular cases of S, P, and D states. The\ntwo-loop correction in the order alpha^2(Zalpha)^6 includes the pure two-loop\nself-energy and all diagrams with closed fermion loops. The obtained results\nallow one to obtain improved theoretical predictions for all excited hydrogenic\nstates.",
    "arxiv_id": "physics/0603123",
    "authors": [
      "Ulrich D. Jentschura",
      "Andrzej Czarnecki",
      "Krzysztof Pachucki"
    ],
    "categories": [
      "physics.atom-ph"
    ],
    "doi": "10.1103/PhysRevA.72.062102",
    "journal_ref": "Phys.Rev.A 72 (2005) 062102",
    "title": "Nonrelativistic QED approach to the Lamb shift",
    "url": "https://arxiv.org/abs/physics/0603123"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "65d0f30e-7b2d-4ec2-a4d4-dfe7ac98775f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}