Abstract :
In this paper the principle of minimum distance (PMD) in the space of the scattering states, is investigated. The PMD in the space of states give a satisfactory account for the description of a universal quantum diffraction of any material particle: displaying a pronounced forward diffraction peak, as well as periodic side maxima and minima. It was proved that the optimal states obtained via PMD are the most forward-peaked states. The experimental tests of the principle of minimum distance in the space of states, are presented. Then, a systematics of the actual experimental data of all PP, PP, K±P, π±P, scatterings at all energies higher than 2 GeV, via PMD predictions on optimal scaling functions and optimal logarithmic slopes, is obtained.
