Possible test of asymptotic behaviours from sum rules

Theoretical technique using the sum rules to test asymptotic behaviour of pp-bar-scattering total cross section (TCS) and relation of real part of pp-bar-scattering amplitude to its imaginary part ρ pp-bar at 546 GeV energy, measured in different world laboratories is suggested. Sum rules for crossing-odd (spin averaged) forward amplitudes of pp-bar- and pp-scattering are considered. Theoretical evaluations of TCS and ρ pp-bar are presented within the frameworks of reggeon, odderon models and reggeon-odderon model and dispersion relations for the investigated values. Satisfactory result of dispersion relation technique which describes well the Regge asymptotics of ρ pp-bar value is obtained