Level density of a Fermi gas: average growth and fluctuations |
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Authors: | Leboeuf Patricio Roccia Jérôme |
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Institution: | Laboratoire de Physique Théorique et Modèles Statistiques, Batiment 100, Université de Paris-Sud, 91405 Orsay Cedex, France. |
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Abstract: | We compute the level density of a two-component Fermi gas as a function of the number of particles, angular momentum, and excitation energy. The result includes smooth low-energy corrections to the leading Bethe term (connected to a generalization of the partition problem and Hardy-Ramanujan formula) plus oscillatory corrections that describe shell effects. When applied to nuclear level densities, the theory provides a unified formulation valid from low-lying states up to levels entering the continuum. The comparison with experimental data from neutron resonances gives excellent results. |
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