{
  "annotation_id": "5977aa00-53e1-48a4-a807-ed46f3e187cc",
  "date_created": "2026-03-02T18:01:24.168000Z",
  "date_modified": "2026-03-02T18:01:24.168000Z",
  "file_hash": "19a066d6d75d05b1c30414c905f8427bb52a612730976be38bf05b03f60cb997",
  "private": false,
  "record": {
    "abstract": "Three different numerical techniques for solving a coupled channel\nSchroedinger equation are compared. This benchmark equation, which describes\nthe collision between two ultracold atoms, consists of two channels, each\ncontaining the same diagonal Lennard-Jones potential, one of positive and the\nother of negative energy. The coupling potential is of an exponential form. The\nmethods are i) a recently developed spectral type integral equation method\nbased on Chebyshev expansions, ii) a finite element expansion, and iii) a\ncombination of an improved Numerov finite difference method and a Gordon\nmethod. The computing time and the accuracy of the resulting phase shift is\nfound to be comparable for methods i) and ii), achieving an accuracy of ten\nsignificant figures with a double precision calculation. Method iii) achieves\nseven significant figures. The scattering length and effective range are also\nobtained.",
    "arxiv_id": "physics/9909005",
    "authors": [
      "G. H. Rawitscher",
      "B. D. Esry",
      "E. Tiesinga",
      "J. P. Burke"
    ],
    "categories": [
      "physics.atom-ph",
      "physics.comp-ph"
    ],
    "doi": "10.1063/1.480431",
    "title": "Comparison of numerical methods for the calculation of cold atom   collisions",
    "url": "https://arxiv.org/abs/physics/9909005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cc16adef-cde4-464c-b210-f39696fe000d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}