dorsal/arxiv
View SchemaNuclear level statistics: extending the shell model theory to higher temperatures
| Authors | Y. Alhassid, G. F. Bertsch, L. Fang |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0303040 |
| URL | https://arxiv.org/abs/nucl-th/0303040 |
| DOI | 10.1103/PhysRevC.68.044322 |
| Journal | Phys.Rev. C68 (2003) 044322 |
Abstract
The Shell Model Monte Carlo (SMMC) approach has been applied to calculate level densities and partition functions to temperatures up to ~ 1.5 - 2 MeV, with the maximal temperature limited by the size of the configuration space. Here we develop an extension of the theory that can be used to higher temperatures, taking into account the large configuration space that is needed. We first examine the configuration space limitation using an independent-particle model that includes both bound states and the continuum. The larger configuration space is then combined with the SMMC under the assumption that the effects on the partition function are factorizable. The method is demonstrated for nuclei in the iron region, extending the calculated partition functions and level densities up to T ~ 4 MeV. We find that the back-shifted Bethe formula has a much larger range of validity than was suspected from previous theory. The present theory also shows more clearly the effects of the pairing phase transition on the heat capacity.
{
"annotation_id": "baac560b-1d86-4e03-9e25-73b77e8c86d1",
"date_created": "2026-03-02T17:59:57.800000Z",
"date_modified": "2026-03-02T17:59:57.800000Z",
"file_hash": "3ca13e9d079ba327788f8434f7a69775d7f7b0a2e357b2e95b68ac63bf3e3b24",
"private": false,
"record": {
"abstract": "The Shell Model Monte Carlo (SMMC) approach has been applied to calculate\nlevel densities and partition functions to temperatures up to ~ 1.5 - 2 MeV,\nwith the maximal temperature limited by the size of the configuration space.\nHere we develop an extension of the theory that can be used to higher\ntemperatures, taking into account the large configuration space that is needed.\nWe first examine the configuration space limitation using an\nindependent-particle model that includes both bound states and the continuum.\nThe larger configuration space is then combined with the SMMC under the\nassumption that the effects on the partition function are factorizable. The\nmethod is demonstrated for nuclei in the iron region, extending the calculated\npartition functions and level densities up to T ~ 4 MeV. We find that the\nback-shifted Bethe formula has a much larger range of validity than was\nsuspected from previous theory. The present theory also shows more clearly the\neffects of the pairing phase transition on the heat capacity.",
"arxiv_id": "nucl-th/0303040",
"authors": [
"Y. Alhassid",
"G. F. Bertsch",
"L. Fang"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.68.044322",
"journal_ref": "Phys.Rev. C68 (2003) 044322",
"title": "Nuclear level statistics: extending the shell model theory to higher temperatures",
"url": "https://arxiv.org/abs/nucl-th/0303040"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "3a3d9a0f-28fa-4b14-98af-9d402c3ee6d8",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}