Narrow Results

The LHC energies are those at which the asymptotic regime in hadron–hadron diffractive collisions (pp, πp, ππ) might be switched on. Based on results of the Dakhno–Nikonov eikonal model which is a generalization of the Good–Walker eikonal approach for a continuous set of channels, we present a picture for transformation of the constituent quark mode to the black disk one. In the black disk mode , we have a growth of the logarithm squared type for total and elastic cross-sections, σ_tot ~ ln² s and σ_el ~ ln² s and -scaling for diffractive scattering and diffractive dissociation of hadrons. The diffractive dissociation cross-section grows as σ_D ~ ln s, σ_DD ~ ln s, and their relative contribution tends to zero: σ_D/σ_tot → 0, σ_DD/σ_tot → 0. Asymptotic characteristics of diffractive and total cross-sections are universal, and this results in the asymptotical equality of cross-sections for all types of hadrons (the Gribov universality). The energy scale for switching on the asymptotic mode is estimated for different processes.