Abstract
A method to calculate the effect of the Pauli exclusion principle in multiparticle and hole state densities is proposed. The model-independent method can be essentially extended to any multi-fermion system. For an application to the exciton model, both the strict expression of state densities and the exact Pauli exclusion correction have been obtained in the equidistant spacing model. The enhancement of the exact Pauli exclusion correlation implies that the Pauli exclusion principle plays a quite important role in state densities.
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We are grateful to Prof. Y.Z. Zhuo for bringing [13] to our attention. This started the present investigation. One of the outhers (J.S.Z.) wishes to express his appreciation to Prof. H. Weidenmüller for helpful corrections on this manuscript.