{
  "annotation_id": "d0d39d14-09b0-4f8a-b747-53e5bbf5b971",
  "date_created": "2026-03-02T18:00:01.362000Z",
  "date_modified": "2026-03-02T18:00:01.362000Z",
  "file_hash": "a0504bd41e4333029403fe36239c8e2b62d7f6d6c3f8787ae80b7dd513a1f627",
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  "record": {
    "abstract": "A non-convergent difficulty near level-repulsive region is discussed within\nthe self-consistent mean-field theory. It is shown by numerical and analytic\nstudies that the mean-field is not realized in the many-fermion system when\nquantum fluctuations coming from two-body residual interaction and quadrupole\ndeformation are larger than an energy difference between two avoided crossing\norbits. An analytic condition indicating a limitation of the mean-field concept\nis derived for the first time.",
    "arxiv_id": "nucl-th/0407031",
    "authors": [
      "Lu Guo",
      "Fumihiko Sakata",
      "En-Guang Zhao",
      "J. A. Maruhn"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1142/S0218301306004739",
    "journal_ref": "Int. J. Mod. Phys. E15 (2006) 1141-1148",
    "title": "To what extent does the self-consistent mean-field exist?",
    "url": "https://arxiv.org/abs/nucl-th/0407031"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1c6b6637-c384-44c3-b1a0-8ee5764bcd11",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}