{
  "annotation_id": "052a6abc-cf22-4a25-a56d-ed4b665110d5",
  "date_created": "2026-03-02T18:01:07.904000Z",
  "date_modified": "2026-03-02T18:01:07.904000Z",
  "file_hash": "a5208cebe464887e17b340f6d91c8e3772d8396e700d02093d809a1abcd7dce9",
  "private": false,
  "record": {
    "abstract": "Universal low-energy properties are studied for three identical bosons\nconfined in two dimensions. The short-range pair-wise interaction in the\nlow-energy limit is described by means of the boundary condition model. The\nwave function is expanded in a set of eigenfunctions on the hypersphere and the\nsystem of hyper-radial equations is used to obtain analytical and numerical\nresults. Within the framework of this method, exact analytical expressions are\nderived for the eigenpotentials and the coupling terms of hyper-radial\nequations. The derivation of the coupling terms is generally applicable to a\nvariety of three-body problems provided the interaction is described by the\nboundary condition model. The asymptotic form of the total wave function at a\nsmall and a large hyper-radius $\\rho$ is studied and the universal logarithmic\ndependence $\\sim \\ln^3 \\rho$ in the vicinity of the triple-collision point is\nderived. Precise three-body binding energies and the $2 + 1$ scattering length\nare calculated.",
    "arxiv_id": "physics/0606013",
    "authors": [
      "O. I. Kartavtsev",
      "A. V. Malykh"
    ],
    "categories": [
      "physics.atom-ph"
    ],
    "doi": "10.1103/PhysRevA.74.042506",
    "journal_ref": "Phys. Rev. A74 (2006) 042506",
    "title": "Universal low-energy properties of three two-dimensional particles",
    "url": "https://arxiv.org/abs/physics/0606013"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b7301a28-4e4b-49fc-bb70-0c1786e46e72",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}