{
  "annotation_id": "d81cd6a1-f7dc-4f9e-b2ae-6c295f98f133",
  "date_created": "2026-03-02T18:01:11.174000Z",
  "date_modified": "2026-03-02T18:01:11.174000Z",
  "file_hash": "cc1835bfd489c3d95e3c0da8acac6a8d36166e3802bd40cf568c9fa3e442366f",
  "private": false,
  "record": {
    "abstract": "Sum rules for the energy levels of a hyperfine multiplet in a constant\nuniform magnetic field is presented. It is found that for any values of the\nelectron angular moment and the nuclear spin there are certain linear\ncombinations of energy levels which do not depend on the magnetic field and can\nbe used to determine the unperturbated hfs separation in the presence of\nperturbing magnetic field. It is also demonstrated that there are other linear\ncombinations which are linear with the external magnetic field and hence can be\nused to determine bound values of the electron and nuclear magnetic moments.\nThe accuracy of the approximation within which the result is valid is also\ndiscussed.",
    "arxiv_id": "physics/0609110",
    "authors": [
      "Savely G. Karshenboim"
    ],
    "categories": [
      "physics.atom-ph"
    ],
    "doi": "10.1139/P06-077",
    "title": "Sum rules for an atomic hyperfine structure in a magnetic field",
    "url": "https://arxiv.org/abs/physics/0609110"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f2cbd524-838e-41ee-b169-f82f893259c8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}