{
  "annotation_id": "de6bed8a-21ac-4cf7-a432-80e596038744",
  "date_created": "2026-03-02T18:01:00.850000Z",
  "date_modified": "2026-03-02T18:01:00.850000Z",
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  "record": {
    "abstract": "The closed form of the first order non-linear differential equation that is\nsatisfied by the effective range within the variable phase formulation of\nscattering theory is discussed. It is shown that the conventional method of\ndetermining the effective range, by fitting a numerical solution of the\nSchr\\\"odinger equation to known asymptotic boundary conditions, can be modified\nto include the first order contribution of a long range interaction.",
    "arxiv_id": "physics/0509147",
    "authors": [
      "H. Ouerdane",
      "M. J. Jamieson"
    ],
    "categories": [
      "physics.atom-ph"
    ],
    "doi": "10.1088/0953-4075/37/18/016",
    "journal_ref": "J. Phys. B: At. Mol. Opt. Phys. 37 pp. 3765-3769 (2004)",
    "title": "A note on the calculation of the effective range",
    "url": "https://arxiv.org/abs/physics/0509147"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "34d58b7a-345c-4566-a0ab-8e651be2db94",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}