{
  "annotation_id": "a917a2f2-f042-41f0-b033-b29f9ab87762",
  "date_created": "2026-03-02T18:00:50.135000Z",
  "date_modified": "2026-03-02T18:00:50.135000Z",
  "file_hash": "21179aa0a1626ee786773743e01f562b17bf504fec776f5bf12e440229be3bac",
  "private": false,
  "record": {
    "abstract": "The asymptotic form of the plane wave decomposition into spherical waves,\nwhich is used to express the scattering amplitude in terms of phase shifts, is\nincorrect. We explain why and show how to circumvent the mathematical\ninconsistency.",
    "arxiv_id": "physics/0401063",
    "authors": [
      "Radoslaw Maj",
      "Stanislaw Mrowczynski"
    ],
    "categories": [
      "physics.ed-ph",
      "nucl-th"
    ],
    "doi": "10.1119/1.1688785",
    "journal_ref": "Am.J.Phys. 72 (2004) 922-923",
    "title": "Inaccurate use of asymptotic formulas",
    "url": "https://arxiv.org/abs/physics/0401063"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d843d985-64fe-4864-b157-51bed77c0806",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}