Abstract
An expression for the nuclear level density has been obtained for fixed number of particlesp and holesh taking into account the energy dependence of the single-particle state density for a gas model of noninteracting particles. The applicability of the equidistant spacing model (g=const.) is analyzed for the casesp≃h andp− h≫1. The possibility of factorization of the angular momentum dependence is studied provided g≠const. A semi-classical expression for the dependence of the single-particle density on angular momentum projection has been obtained without specifying the nuclear potential. Them-dependence ofg(ɛ, m) is shown to be close to a Gaussian for the infinite square well potential. A simple expression which takes into account the effect of the Pauli exclusion principle is proposed for the angular momentum dispersion of the level density distribution.
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The authors are grateful to Dr. N.V. Petrovsky for editing the draft of this paper.
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Bogila, Y.A., Kolomietz, V.M. & Sanzhur, A.I. Nuclear level density with fixed exciton number. Z. Physik A - Hadrons and Nuclei 341, 373–381 (1992). https://doi.org/10.1007/BF01301380
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DOI: https://doi.org/10.1007/BF01301380