{
  "annotation_id": "e88e0246-33a6-4c7e-ae90-9e407a942770",
  "date_created": "2026-03-02T18:00:14.923000Z",
  "date_modified": "2026-03-02T18:00:14.923000Z",
  "file_hash": "86240c6704c80f944fdf44369757363387001e0af411bd69b8a300f08d378c1a",
  "private": false,
  "record": {
    "abstract": "Using an exactly solvable pairing model Hamiltonian in the static path\napproximation together with small-amplitude quantal fluctuation corrections in\nrandom phase approximation (SPA+RPA), we have analyzed the behaviour of\ncanonical (number projected) and grandcanonical treatments of nuclear level\ndensities as a function of temperature and number of particles. For small\nparticle numbers at a low temperature, we find that though the grandcanonical\npartition function in SPA+RPA approach is quite close to its exact value, the\nsmall errors in its estimation causes significant suppression of level density\nobtained using number projected partition function. The results are also\ncompared with the smoothed out exact values of level density. Within this model\nstudy, it appears that due to saddle point approximation to multiple\nLaplace-back transform, the grandcanonical treatment of level density at low\ntemperature may be reliable only for relatively large number of particles.",
    "arxiv_id": "nucl-th/9504008",
    "authors": [
      "B. K. Agrawal",
      "P. K. Sahu"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1016/0370-2693(95)00406-B",
    "title": "SPA+RPA approach to canonical and grandcanonical treatments of nuclear   level densities",
    "url": "https://arxiv.org/abs/nucl-th/9504008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4b259fb7-295f-4489-b6a7-205330e5f157",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}