{
  "annotation_id": "6c62426b-bf31-423b-a895-1ca9f8ffb484",
  "date_created": "2026-03-02T18:00:18.797000Z",
  "date_modified": "2026-03-02T18:00:18.797000Z",
  "file_hash": "c261b55de2005b60e53f5d86e358bd83560cc055910791c21b762822e92f881d",
  "private": false,
  "record": {
    "abstract": "The angular part of the Faddeev equations is solved analytically for s-states\nfor two-body square-well potentials. The results are, still analytically,\ngeneralized to arbitrary short-range potentials for both small and large\ndistances. We consider systems with three identical bosons, three non-identical\nparticles and two identical spin-1/2 fermions plus a third particle with\narbitrary spin. The angular wave functions are in general linear combinations\nof trigonometric and exponential functions. The Efimov conditions are obtained\nat large distances. General properties and applications to arbitrary potentials\nare discussed. Gaussian potentials are used for illustrations. The results are\nuseful for numerical calculations, where for example large distances can be\ntreated analytically and matched to the numerical solutions at smaller\ndistances. The saving is substantial.",
    "arxiv_id": "nucl-th/9608034",
    "authors": [
      "A. S. Jensen",
      "E. Garrido",
      "D. V. Fedorov"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1007/s006010050060",
    "journal_ref": "Few Body Systems 22 (1997) 193-236",
    "title": "Square-well solution to the three-body problem",
    "url": "https://arxiv.org/abs/nucl-th/9608034"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "671b3d8d-9857-4394-814c-367b150d2204",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}