Description of quantum scattering via principle of minimum distance in the space of states

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.