{
  "annotation_id": "bf3550e5-1867-4a8f-a102-96265a9d106b",
  "date_created": "2026-03-02T18:00:21.982000Z",
  "date_modified": "2026-03-02T18:00:21.982000Z",
  "file_hash": "77f60fc7cd04912a4a181c57fb9b8d3ee5942bfde33656816a0e5fe48198d609",
  "private": false,
  "record": {
    "abstract": "A quantum-mechanical calculation of the single-particle level (s.p.l.)\ndensity $g(\\epsilon)$ is carried on by using the connection with the\nsingle-particle Green\u0027s function. The relation between the imaginary part of\nGreen\u0027s function and single-particle wave functions is used separately for the\ndiscrete and continuous states. Within the bound-states region the imaginary\npart of the Green\u0027s function is calculated by using the wronskian theorem. The\nGreen\u0027s function corresponding to the continuum is written by using the regular\nand Jost solutions of the radial Schrodinger equation. The smooth part of the\nrapidly fluctuating s.p.l. density is calculated by means of the Strutinski\nprocedure. The continuum component of the s.p.l. density has rather close\nvalues within either exact quantum-mechanical calculations with the Woods-Saxon\n(WS) potential, or Thomas-Fermi approximation with WS as well as finite-square\npotential wells, provided that the free-gas contribution is subtracted. A\nsimilar trend is obtained by means of the simple FGM formula for the s.p.l.\ndensity if the continuum effect is taken into account.",
    "arxiv_id": "nucl-th/9711007",
    "authors": [
      "I. Stetcu"
    ],
    "categories": [
      "nucl-th"
    ],
    "title": "Quantum-Mechanical Analysis of Single-Particle Level Density",
    "url": "https://arxiv.org/abs/nucl-th/9711007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d7032bb1-24ee-42f6-ad31-cc4f9ac62e77",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}