Analytical Description of Hadron-hadron Scattering via Principle of Minimum Distance in Space of States

In this paper an analytical description of the hadron-hadron scattering is presented by using PMD-SQS-optimum principle in which the differential cross sections in the forward and backward c.m. angles are considered fixed from the experimental data. Experimental tests of the PMD-SQSoptimal predictions, obained by using the available phase shifts, as well as from direct experimental data, are presented. It is shown that the actual experimental data for the differential cross sections of all principal hadron-hadron [nucleon-nucleon, antiproton-proton, mezon-nucleon] scatterings at all energies higher than 2 GeV, can be well systematized by PMD-SQS predictions. Introduction The mathematician Leonhard Euler (1707-1783) appears to have been a philosophical optimist having written: ”For since the fabric of the universe is most perfect and the work of a most wise Creator, nothing at all takes place in the universe in which some rule of maximum or minimum does not appear. Wherefore, there is absolutely no doubt that every effect in universe can be explained as satisfactory from final causes themselves the aid of the method of Maxima and Minima, as can from the effective causes”. Yet this brilliant idea produced many strikingly simple formulations of certain complex laws of nature. From historical point of view the earliest optimum principle was proposed by Heron of Alexandria (125 B.C.) in connection with the behavior of light. Thus, Heron proved mathematically the following first genuine scientific minimum principle of physics: that light travels between two