{
  "annotation_id": "c50a1757-a262-4228-996e-56fe38be2d8c",
  "date_created": "2026-03-02T18:00:15.419000Z",
  "date_modified": "2026-03-02T18:00:15.419000Z",
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  "record": {
    "abstract": "A proof is given for the explicit representations which have been formulated\nin the author\u0027s previous work (nucl-th/9505028) for the Faddeev components of\nthree-body T-matrix continued analytically on unphysical sheets of the energy\nRiemann surface. Also, the analogous representations for analytical\ncontinuation of the three-body scattering matrices and resolvent are proved. An\nalgorithm to search for the three-body resonances on the base of the Faddeev\ndifferential equations is discussed.",
    "arxiv_id": "nucl-th/9505029",
    "authors": [
      "A. K. Motovilov"
    ],
    "categories": [
      "nucl-th",
      "funct-an",
      "math.FA"
    ],
    "doi": "10.1007/BF02070387",
    "journal_ref": "Theor. Math. Phys. 107 (1996) 807-824; Teor. Mat. Fiz. 107:3\n  (1996) 478-500",
    "title": "Representations for Three-Body T-Matrix on Unphysical Sheets: Proofs",
    "url": "https://arxiv.org/abs/nucl-th/9505029"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9acdc530-08fb-4cd7-94c7-9be33009ca09",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}