Level density of a Fermi gas: average growth and fluctuations

Details Level density of a Fermi gas: average growth and fluctuations Level density of a Fermi gas: average growth and fluctuations

2006-02-13

arxiv.org/abs/nucl-th/0602044v1

Phys.Rev.Lett.97:010401,2006; Erratum-ibid.99:169901,2007

Physics

Nuclear Physics

Nuclear Theory

4 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.97.010401 10

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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