{
  "annotation_id": "613c81ed-344f-49c4-833f-c7fece0c0576",
  "date_created": "2026-03-02T18:02:02.740000Z",
  "date_modified": "2026-03-02T18:02:02.740000Z",
  "file_hash": "c8fbd285aad14a2a9443e7b165b51a600408968e79bbfa70f0846ee15d72709e",
  "private": false,
  "record": {
    "abstract": "Using the method of quantum-defect theory, we calculate the ultralong-range\nmolecular vibrational states near the dissociation threshold of a diatomic\nmolecular potential which asymptotically varies as $-1/R^3$. The properties of\nthese states are of considerable interest as they can be formed by\nphotoassociation (PA) of two ground state atoms. The Franck-Condon overlap\nintegrals between the harmonically trapped atom-pair states and the\nultralong-range molecular vibrational states are estimated and compared with\ntheir values for a pair of untrapped free atoms in the low-energy scattering\nstate. We find that the binding between a pair of ground-state atoms by a\nharmonic trap has significant effect on the Franck-Condon integrals and thus\ncan be used to influence PA. Trap-induced binding between two ground-state\natoms may facilitate coherent PA dynamics between the two atoms and the\nphotoassociated diatomic molecule.",
    "arxiv_id": "quant-ph/0309094",
    "authors": [
      "B. Deb",
      "L. You"
    ],
    "categories": [
      "quant-ph",
      "cond-mat"
    ],
    "doi": "10.1103/PhysRevA.68.033408",
    "journal_ref": "Phys. Rev. A 68, 033408 (2003)",
    "title": "Model study on the photoassociation of a pair of trapped atoms into an   ultralong-range molecule",
    "url": "https://arxiv.org/abs/quant-ph/0309094"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0a923fb0-b1da-4597-97b7-bf2e3b45d731",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}