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Large rapidity gap diffraction processes are considered in multi-channeleikonal models. It is shown that shadow corrections to over-fast risingcontribution of the input supercritical pomeron (with $\alpha(0)>1$),originating from the pomeron rescatterings or, equivalently, accountingsurvival probability factor, do not solve the Finkelstein-Kajantie problem.Therefore, in our opinion, another methods of unitarization of supercriticalpomeron should be developed.

Multigap diffraction cross sections. Problems in eikonal methods for the pomeron unitarization