An analytical formulation was developed for the case where one takes into account effects of correlations for the system consisting of the sed bands, of the intra-atomic interaction between the electrons of the hybridization of the bands if d. The excitation energies of a system particle are related to the poles of the Green functions and are determined by the three roots of a cubic equation. Our treatment generalizes the previous ones to the case in which the intra-atomic parameter between the electrons gives finite.
