  In this paper a measure of complexity of the system of angle-angular momentum
quantum states produced in hadronic scattering is introduced in terms of the
scattering entropies. We presented strong experimental evidence for the
saturation of the entropic optimal limits in the pion-nucleon and kaon-nucleon
scatterings. The validity of a principle of minimum complexity in hadronic
interaction is supported with high accuracy (CL>99%) by the experimental data
on pion-nucleon especially at energies higher than 2 GeV.
