{
  "annotation_id": "8a4e5e38-b8ea-4990-8071-bbc05b88fb6a",
  "date_created": "2026-03-02T18:01:48.485000Z",
  "date_modified": "2026-03-02T18:01:48.485000Z",
  "file_hash": "b761bc257670d3ba8ee95c1a0ff3c4dd0720b142002c6fc9ed5398ac4c21fa44",
  "private": false,
  "record": {
    "abstract": "We formulate the three-body problem in one dimension in terms of the\n(Faddeev-type) integral equation approach. As an application, we develop a\nspinless, one-dimensional (1-D) model that mimics three-nucleon dynamics in one\ndimension. Using simple two-body potentials that reproduce the deuteron\nbinding, we obtain that the three-body system binds at about 7.5 MeV. We then\nconsider two types of residual pionic corrections in the dynamical equation;\none related to the 2PI-exchange three-body diagram, the other to the\n1PI-exchange three-body diagram. We find that the first contribution can\nproduce an additional binding effect of about 0.9 MeV. The second term produces\nsmaller binding effects, which are, however, dependent on the uncertainty in\nthe off-shell extrapolation of the two-body t-matrix. This presents interesting\nanalogies with what occurs in three dimensions. The paper also discusses the\ngeneral three-particle quantum scattering problem, for motion restricted to the\nfull line.",
    "arxiv_id": "quant-ph/0203021",
    "authors": [
      "T. Melde",
      "L. Canton",
      "J. P Svenne"
    ],
    "categories": [
      "quant-ph",
      "nucl-th"
    ],
    "doi": "10.1007/s00601-002-0114-4",
    "journal_ref": "Few Body Syst. 32 (2002) 143-168",
    "title": "Three-body dynamics in one dimension: A test model for the 3-Nucleon   system with irreducible pionic diagrams",
    "url": "https://arxiv.org/abs/quant-ph/0203021"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b2155b4d-6884-4917-9319-fdcfb06123fa",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}