High-energy hadron interaction

The results of recent investigations of hi-gh energy hadron interaction are discussed. The accuracy of determination of tiotal cross sections of hadron interaction with protons nowadays constitutes about 0.3%, while the accuracy of proton-proton cross sections measurement - about 1%. Experimental data testify to the growth of total cross sections with energy but they provide no possibility to judge the character of asymptotic behaviour of total cross sections. For this purpose one should move forward into the field of essentially higher energies. Dispersion relations permit to estimate the total cross sections behaviour outside the energies reached by modern accelerators. The investigations have shown that the contemplated in the accelerating energies field total cross sections growth will continue at higher energies as well. The total πr-scattering cross section will increase at least up to momentum values of colliding particles p=2000 GeV/c, while total pp-scattering cross section up to p=40000 GeV/c. One of the information sources on pp interaction total cross sections at superhigh energies are cosmic radiations. Main results are pertaining to the 102-105 GeV energy range and are in a satisfactory agreement with accelerating data. Using the one-pomeron exchange model, V. Gribov in 1961 predicted the logarithmic growth of hadrons interaction radius with energy increase-diffraction cone narrowing. The existing experimental data are in agreement with the hypothesis of universal diffraction cone narrowing in the high energies field