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New method is developed for calculation of single-particle occupation numbersin finite Fermi systems of interacting particles. It is more accurate than thecanonical distribution method and gives the Fermi-Dirac distribution in thelimit of large number of particles. It is shown that statistical effects of theinteraction are absorbed by an increase of the effective temperature. Criteriafor quantum chaos and statistical equilibrium are considered. All results areconfirmed by numerical experiments in the two-body random interaction model.Comment: 4 pages, Latex, 4 figures in the form of PS-file

Distribution of occupation numbers in finite Fermi systemsand role of interaction in chaos and thermalization