On the behaviour of total cross sections of hadrons at high energies

Data on the total cross-sections of hadron interaction at high energies have been analyzed in the framework of the model allowing Fruassar saturation, and also of the model of geometric scaling. It is concluded that the data available may satisfy different models varying essentially in the dynamics of interaction. However predictions for high energies (of the order of 103 GeV) deviate noticeably. Experimental data are analyzed only from the ratios obtained in the framework of dynamic symmetries. The majority of ratios between total cross-sections are shown to be satisfied better with an energy increase