dorsal/arxiv
View SchemaParticle-hole state densities with non-equidistant single-particle levels
| Authors | A. Harangozo, I. Stetcu, M. Avrigeanu, V. Avrigeanu |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9804074 |
| URL | https://arxiv.org/abs/nucl-th/9804074 |
| DOI | 10.1103/PhysRevC.58.295 |
| Journal | Phys.Rev.C58:295-306,1998 |
Abstract
The correct use of energy-dependent single-particle level (s.p.l.) densities within particle-hole state densities based on the equidistant spacing model (ESM) is analysed. First, an analytical expression is obtained following the convolution of energy-dependent excited-particle and hole densities. Next, a comparison is made with results of the ESM formula using average s.p.l. densities for the excited particles and holes, respectively. The Fermi-gas model (FGM) s.p.l. densities calculated at the corresponding average excitation energies are used in both cases. The analysis concerns also the density of particle-hole bound states. The pairing correlations are taken into account while the comparison of various effects includes the exact correction for the Pauli exclusion principle. Quantum-mechanical s.p.l. densities and the continuum effect can also match a corresponding FGM formula, suitable for use within the average energy-dependent partial state density in multistep reaction models.
{
"annotation_id": "9015ce88-1c3f-45fa-89e4-39561f02a70c",
"date_created": "2026-03-02T18:00:21.710000Z",
"date_modified": "2026-03-02T18:00:21.710000Z",
"file_hash": "0cf59958f3a2e5e0ec0789afd4c4a39773ebf65489c795f7f8b87dd2b5e93667",
"private": false,
"record": {
"abstract": "The correct use of energy-dependent single-particle level (s.p.l.) densities\nwithin particle-hole state densities based on the equidistant spacing model\n(ESM) is analysed. First, an analytical expression is obtained following the\nconvolution of energy-dependent excited-particle and hole densities. Next, a\ncomparison is made with results of the ESM formula using average s.p.l.\ndensities for the excited particles and holes, respectively. The Fermi-gas\nmodel (FGM) s.p.l. densities calculated at the corresponding average excitation\nenergies are used in both cases. The analysis concerns also the density of\nparticle-hole bound states. The pairing correlations are taken into account\nwhile the comparison of various effects includes the exact correction for the\nPauli exclusion principle. Quantum-mechanical s.p.l. densities and the\ncontinuum effect can also match a corresponding FGM formula, suitable for use\nwithin the average energy-dependent partial state density in multistep reaction\nmodels.",
"arxiv_id": "nucl-th/9804074",
"authors": [
"A. Harangozo",
"I. Stetcu",
"M. Avrigeanu",
"V. Avrigeanu"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.58.295",
"journal_ref": "Phys.Rev.C58:295-306,1998",
"title": "Particle-hole state densities with non-equidistant single-particle levels",
"url": "https://arxiv.org/abs/nucl-th/9804074"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "80ecc1c1-6be1-4fa4-a2d5-1f2cc42eb196",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}