{
  "annotation_id": "e1b5bac5-d5f7-423b-9722-8cb15775f27f",
  "date_created": "2026-03-02T18:00:15.418000Z",
  "date_modified": "2026-03-02T18:00:15.418000Z",
  "file_hash": "8cae6e9d3aa4f9b673211cb5d0b7b49c2c34536fc33dccc17633a920f6565363",
  "private": false,
  "record": {
    "abstract": "Explicit representations are formulated for the Faddeev components of\nthree-body T-matrix continued analytically on unphysical sheets of the energy\nRiemann surface. According to the representations, the T-matrix on unphysical\nsheets is obviously expressed in terms of its components taken on the physical\nsheet only. The representations for T-matrix are used then to construct similar\nrepresentations for analytical continuation of three-body scattering matrices\nand resolvent. Domains on unphysical sheets are described where the\nrepresentations obtained can be applied.",
    "arxiv_id": "nucl-th/9505028",
    "authors": [
      "A. K. Motovilov"
    ],
    "categories": [
      "nucl-th",
      "funct-an",
      "math.FA"
    ],
    "doi": "10.1007/BF02070386",
    "journal_ref": "Theor. Math. Phys. 107 (1996) 784-806; Teor. Mat. Fiz. 107:3\n  (1996) 450-477",
    "title": "Representations for Three-Body T-Matrix on Unphysical Sheets",
    "url": "https://arxiv.org/abs/nucl-th/9505028"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a05bdc09-6710-4151-bd4e-f9d97be96bfe",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}