{
  "annotation_id": "51dc6958-85be-4663-9a4b-639dcd3ae08e",
  "date_created": "2026-03-02T18:00:21.095000Z",
  "date_modified": "2026-03-02T18:00:21.095000Z",
  "file_hash": "68037b12a6a98ae5ccd217717b826e8289f8368473ce34d02ac1e81875657afa",
  "private": false,
  "record": {
    "abstract": "Large amplitude collective motion is investigated for a model pairing\nHamiltonian containing an avoided level crossing. A classical theory of\ncollective motion for the adiabatic limit is applied utilising either a\ntime-dependent mean-field theory or a direct parametrisation of the\ntime-dependent Schr\\\"odinger equation. A modified local harmonic equation is\nformulated to take account of the Nambu-Goldstone mode. It turns out that in\nsome cases the system selects a diabatic path. Requantizing the collective\nHamiltonian, a reasonable agreement with an exact calculation for the low-lying\nlevels are obtained for both weak and strong pairing force. This improves on\nresults of the conventional Born-Oppenheimer approximation.",
    "arxiv_id": "nucl-th/9710037",
    "authors": [
      "Takashi Nakatsukasa",
      "Niels R. Walet"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1103/PhysRevC.57.1192",
    "journal_ref": "Phys.Rev.C57:1192-1203,1998",
    "title": "Diabatic and Adiabatic Collective Motion in a Model Pairing System",
    "url": "https://arxiv.org/abs/nucl-th/9710037"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b465c37b-2e08-4f85-aa1f-05089ffe6724",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}