{
  "annotation_id": "e6391aec-e0b9-4795-b9cd-b089198a7072",
  "date_created": "2026-03-02T18:00:04.394000Z",
  "date_modified": "2026-03-02T18:00:04.394000Z",
  "file_hash": "299815b9da9a0f289a4df3c4208d46956088bf5bcf05bed91072f3a8300665ca",
  "private": false,
  "record": {
    "abstract": "The gap equation in the $^1S_0$-channel is solved for a nuclear slab with the\nseparable form of the Paris potential. The gap equation is considered in the\nmodel space in terms of the effective pairing interaction which is found in the\ncomplementary subspace. The absolute value of the gap $\\Delta$ turned out to be\nvery sensitive to the cutoff $K_{max}$ in the momentum space in the equation\nfor the effective interaction. It is necessary to take $K_{max}=160-180\nfm^{-1}$ to guarantee 1% accuracy for $\\Delta$. The gap equation itself is\nsolved directly, without any additional approximations. The solution reveals\nthe surface enhancement of the gap $\\Delta$ which was earlier found with an\napproximate consideration. A strong surface-volume interplay was found also\nimplying a kind of the proximity effect. The diagonal matrix elements of\n$\\Delta$ turned out to be rather close to the empirical values for heavy atomic\nnuclei.",
    "arxiv_id": "nucl-th/0509025",
    "authors": [
      "S. S. Pankratov",
      "M. Baldo",
      "U. Lombardo",
      "E. E. Saperstein",
      "M. V. Zverev"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1016/j.nuclphysa.2005.10.010",
    "journal_ref": "Nucl.Phys. A765 (2006) 61-74",
    "title": "Solution of the microscopic gap equation for a slab of nuclear matter   with the Paris NN-potential",
    "url": "https://arxiv.org/abs/nucl-th/0509025"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ca66a925-71dc-4df8-8f3e-4d50ab7aa2c7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}