{
  "annotation_id": "20a96fa7-49a0-4781-a524-4d4cfdc764d0",
  "date_created": "2026-03-02T18:00:59.944000Z",
  "date_modified": "2026-03-02T18:00:59.944000Z",
  "file_hash": "e9694556ca35a31bd628eb320e39dab2ce61bf0f55da202b20586fb356581f48",
  "private": false,
  "record": {
    "abstract": "It is shown that the scattering length can be obtained by solving a Riccati\nequation derived from variable phase theory. Two methods of solving it are\npresented. The equation is used to predict how long-range interactions\ninfluence the scattering length, and upper and lower bounds on the scattering\nlength are determined. The predictions are compared with others and it is shown\nhow they may be obtained from secular perturbation theory.",
    "arxiv_id": "physics/0509155",
    "authors": [
      "H. Ouerdane",
      "M. J. Jamieson",
      "D. Vrinceanu",
      "M. J. Cavagnero"
    ],
    "categories": [
      "physics.atom-ph"
    ],
    "doi": "10.1088/0953-4075/36/19/013",
    "journal_ref": "J. Phys. B: At. Mol. Opt. Phys. 36 pp. 4055-4063 (2003)",
    "title": "The variable phase method used to calculate and correct scattering   lengths",
    "url": "https://arxiv.org/abs/physics/0509155"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "23099158-14ff-45cc-b6df-9216b2726686",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}