Abstract
Large rapidity gap diffraction processes are considered in multi-channel eikonal models. It is shown that shadow corrections to over-fast rising contribution of the input supercritical pomeron (with $\alpha(0)>1$), originating from the pomeron rescatterings or, equivalently, accounting survival probability factor, do not solve the Finkelstein-Kajantie problem. Therefore, in our opinion, another methods of unitarization of supercritical pomeron should be developed.
Highlights
Nowadays we are once again witnessing as recent exciting results of the TOTEM experiment on total cross sections of proton-proton interactions at maximal LHC energies [1] have inspired the big splash of interest in reviving several pending problems unresolved in the past [2,3,4,5]
An over unitarity growth of the input simple diffraction dissociation (SDD) cross section is not compensated by survival probability factor
III B: An over unitarity growth of the input central diffraction production (CDP) cross section is not compensated by survival probability factor
Summary
Nowadays we are once again witnessing as recent exciting results of the TOTEM experiment on total cross sections of proton-proton interactions at maximal LHC energies [1] have inspired the big splash of interest in reviving several pending problems unresolved in the past [2,3,4,5] One of those is a notorious problem of unitarizing the Pomeron input in various amplitudes of hadronic processes. It has been launched for intensive discussion by studying the BFKL Pomeron [6] having an intercept larger than one in perturbative QCD.
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