SATURATION AND HADRONIC CROSS-SECTIONS AT VERY HIGH ENERGIES

We propose a simple model for the total pp/p (p) over bar cross-section, which is a generalization of the minijet model with the inclusion of a window in the pT-spectrum associated to the saturation physics. Our model implies a natural cutoff for the perturbative calculations which modifies the energy behavior of this component, so that it satisfies the Froissart bound. Including the saturated component, we obtain a satisfactory description of the very high energy experimental data.