Abstract
Hadron scattering at large and small distances is simultaneously described in the framework of the unitarization method based on a generalized reaction matrix. The assumed dynamics of hadron interactions is inspired by the ideas of the chiral quark models. The proposed model for hadron interactions is based on geometrical notions of the interactions of constituent quarks similar to those used by Chou and Yang for the description of hadronic interactions. This model allows us to reproduce the ${\mathrm{ln}}^{2}s$ growth of the total cross sections as well as regularities in the behavior of differential cross sections, in particular, its power-law falloff at fixed angles. It also allows us to get the correct values for the total cross-section ratios of hyperon-proton and proton-proton interactions and to estimate the total cross-section values for interactions of the hadrons containing heavy quarks.
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