On the basis of the experimental data on diffractive processes in πp, pp and pp collisions at intermediate, moderately high and high energies, we restore the scattering amplitude related to the t-channel exchange by vacuum quantum numbers by taking account of the diffractive s-channel rescatterings. At intermediate and moderately high energies, the t-channel exchange amplitude turns, with a good accuracy, into an effective pomeron which renders the results of the additive quark model. At superhigh energies the scattering amplitude provides a Froissart-type behaviour, with an asymptotic universality of cross sections such as σ tot πp /σ tot pp → 1 at s → ∞. The quark structure of hadrons being taken into account at the level of constituent quarks, the cross sections of pion and proton (antiproton) in the impact parameter space of quarks, σ π ( r 1⊥ , r 2⊥ ; s) and σ p ( r 1⊥ , r 2⊥ , r 3⊥ ; s), are found as functions of s. These cross sections implicate the phenomenon of colour screening: they tend to zero at | r i⊥ − r k⊥ | → 0. The effective colour screening radius for pion (proton) is found for different s. The predictions for the diffractive cross sections at superhigh energies are presented.