Saturation of optimality limits in hadron-hadron scatterings

In this paper the optimal unitarity lower bound on logarithmic slope of the diffraction peak is investigated. It is shown that the unitarity lower bound is just the optimal logarithmic slopes predicted by the principle of least distance in space of states. A systematic tendency towards the saturation of the most forward-peaked limit is observed from all the available experimental data of all principal hadron-hadron (e.g., antiproton-proton, proton-proton, kaon-proton, pion-proton) scatterings practically at all laboratory momenta.