Reliable calculations of level densities using statistical spectroscopy

dc.creatorNabi, Jameel-Un
dc.creatorJohnson, Calvin W.
dc.creatorOrmand, W. Erich
dc.date2001-11-23
dc.date.accessioned2026-07-07T05:38:49Z
dc.date.available2026-07-07T05:38:49Z
dc.descriptionNucleosynthesis calculations require nuclear level densities for hundreds or even thousands of nuclides. Ideally one would like to constrain these level densities by microscopically motivated yet computationally cheap models. A statistical approach suggests that low moments of the Hamiltonian might be sufficient. Recently Zuker proposed a simple combinatoric formula for level densities based upon the binomial distribution. We rigorously test the binomial formula against full scale shell-model diagonalization calculations for selected $sd$- and $pf$-shell nuclides and also against Monte Carlo path integration calculations. We find that the fourth moment is as important as the third moment to a good description of the level density, as well as partitioning of the model space into subspaces.
dc.description21 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/nucl-th/0111067
dc.identifierhttp://arxiv.org/abs/nucl-th/0111067
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/81751
dc.subjectNuclear Theory
dc.titleReliable calculations of level densities using statistical spectroscopy
dc.typetext

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