{
  "annotation_id": "b83d32aa-6fd1-4b62-84fb-1738c7d8da62",
  "date_created": "2026-03-02T18:00:01.585000Z",
  "date_modified": "2026-03-02T18:00:01.585000Z",
  "file_hash": "e2b42cce9743e870bbbad1f5847a82071531a38a0c1775bf90791687f938a500",
  "private": false,
  "record": {
    "abstract": "We develop a perturbative model to treat the off-diagonal components in the\nHartree-Fock-Bogoliubov (HFB) transformation matrix, which are neglected in the\nBCS approximation. Applying the perturbative model to a weakly bound nucleus\n$^{84}$Ni, it is shown that the perturbative approach reproduces well the\nsolutions of the HFB method both for the quasi-particle energies and the radial\ndependence of quasi-particle wave functions. We find that the non-resonant part\nof the continuum single-particle state can acquire an appreciable occupation\nprobability when there exists a weakly bound state close to the Fermi surface.\nThis result originates from the strong coupling between the continuum particle\nstate and the weakly bound state, and is absent in the BCS approximation. The\nlimitation of the BCS approximation is pointed out in comparison with the HFB\nand the present perturbative model.",
    "arxiv_id": "nucl-th/0411017",
    "authors": [
      "K. Hagino",
      "H. Sagawa"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1103/PhysRevC.71.044302",
    "journal_ref": "Phys.Rev. C71 (2005) 044302",
    "title": "Perturbative HFB model for many-body pairing correlations",
    "url": "https://arxiv.org/abs/nucl-th/0411017"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a649619e-77c6-46cb-934e-e2408df597ae",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}