{
  "annotation_id": "a5bd276e-0f7a-477b-9d36-bbea31c93a23",
  "date_created": "2026-03-02T18:00:25.831000Z",
  "date_modified": "2026-03-02T18:00:25.831000Z",
  "file_hash": "0947d42df912d09c9628f16e7258c9b2061f46aacdd10e51aaa29c9a7359e035",
  "private": false,
  "record": {
    "abstract": "We discuss renormalization of the non-relativistic three-body problem with\nshort-range forces. The problem is non-perturbative at momenta of the order of\nthe inverse of the two-body scattering length. An infinite number of graphs\nmust be summed, which leads to a cutoff dependence that does not appear in any\norder in perturbation theory. We argue that this cutoff dependence can be\nabsorbed in one local three-body force counterterm and compute the running of\nthe three-body force with the cutoff. This allows a calculation of the\nscattering of a particle and the two-particle bound state if the corresponding\nscattering length is used as input. We also obtain a model-independent relation\nbetween binding energy of a shallow three-body bound state and this scattering\nlength. We comment on the power counting that organizes higher-order\ncorrections and on relevance of this result for the effective field theory\nprogram in nuclear and molecular physics.",
    "arxiv_id": "nucl-th/9811046",
    "authors": [
      "P. F. Bedaque",
      "H. -W. Hammer",
      "U. van Kolck"
    ],
    "categories": [
      "nucl-th",
      "hep-ph",
      "physics.atm-clus"
    ],
    "doi": "10.1016/S0375-9474(98)00650-2",
    "journal_ref": "Nucl.Phys. A646 (1999) 444-466",
    "title": "The Three-Boson System with Short-Range Interactions",
    "url": "https://arxiv.org/abs/nucl-th/9811046"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4d148732-36b8-4377-ba8f-0d28eed962f5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}