{
  "annotation_id": "30bfe3c1-01b9-4a07-8bc6-4ee13b7d2387",
  "date_created": "2026-03-02T18:00:32.603000Z",
  "date_modified": "2026-03-02T18:00:32.603000Z",
  "file_hash": "b10e2680e86fbb8e24188a11193974f7b35dd8c81b9085e82f033b1a8aed94e0",
  "private": false,
  "record": {
    "abstract": "We present an improved calculation of higher-order corrections to the\none-loop self energy of 2P states in hydrogen-like systems with small nuclear\ncharge Z. The method is based on a division of the integration with respect to\nthe photon energy into a high- and a low-energy part. The high-energy part is\ncalculated by an expansion of the electron propagator in powers of the Coulomb\nfield. The low-energy part is simplified by the application of a\nFoldy-Wouthuysen transformation. This transformation leads to a clear\nseparation of the leading contribution from the relativistic corrections and\nremoves higher order terms. The method is applied to the 2P_{1/2} and 2P_{3/2}\nstates in atomic hydrogen. The results lead to new theoretical values for the\nLamb shifts and the fine structure splitting.",
    "arxiv_id": "physics/0011008",
    "authors": [
      "U. D. Jentschura",
      "K. Pachucki"
    ],
    "categories": [
      "physics.atom-ph"
    ],
    "doi": "10.1103/PhysRevA.54.1853",
    "journal_ref": "Phys.Rev. A54 (1996) 1853-1861",
    "title": "Higher-order binding corrections to the Lamb shift of 2P states",
    "url": "https://arxiv.org/abs/physics/0011008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "016ee224-00eb-4152-9171-f5750bd1fecc",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}