The boson-fermion model is studied within the mean-field approximation
including Pauli principle effects in the boson energy renormalization
and Coulomb short-range repulsion among fermions and bosons. It is sh
own that there is a finite critical temperature at which Cooper pairin
g occurs accompanied by the divergence of the renormalized boson propa
gator at q = 0 and w = 0. The chemical potential, the entropy and the
specific heat are also discussed. (C) 1998 Elsevier Science B.V. All r
ights reserved.