{
  "annotation_id": "e8864289-9a15-4dbc-a665-ade5597e374b",
  "date_created": "2026-03-02T18:00:39.708000Z",
  "date_modified": "2026-03-02T18:00:39.708000Z",
  "file_hash": "2c57e83f8349425bfcb1e06411ce2b410d56f626e213e65931d3c37500ff9f72",
  "private": false,
  "record": {
    "abstract": "Three bosonic, spin-polarized atoms in a spherical oscillator potential\nconstitutes the simplest nontrivial Bose-Einstein condensate (BEC). The present\npaper develops the tools needed to understand the nature of the complete J=0\nenergy spectrum for this prototype system, assuming a sum of two-body\npotentials. The resulting spectrum is calculated as a function of the two-body\nscattering length a_sc, which documents the evolution of certain many-body\nlevels that evolve from BEC-type to molecular-type as the scattering length is\ndecreased. Implications for the behavior of the condensate excited-state\nspectrum and for condensate formation and decay are elucidated. The energy\nlevels evolve smoothly, even through the regime where the number of two-body\nbound states N_b increases by 1, and a_{sc} switches from -infinity to\ninfinity. We point out the possibility of suppressing three-body recombination\nby tuning the two-body scattering length to values that are larger than the\nsize of the condensate ground state. Comparisons with mean-field treatments are\npresented.",
    "arxiv_id": "physics/0202060",
    "authors": [
      "D. Blume",
      "Chris H. Greene"
    ],
    "categories": [
      "physics.atom-ph"
    ],
    "doi": "10.1103/PhysRevA.66.013601",
    "journal_ref": "Phys.Rev.A66:013601,2002",
    "title": "Three particles in an external trap: Nature of the complete J=0 spectrum",
    "url": "https://arxiv.org/abs/physics/0202060"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c28a749b-894e-4b3d-9917-8a75144756e3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}