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It is shown that in a supercritical pomeron model the contribution of the tirple-pomeron diagrams violates the unitarity bound for cross-section even with account of the multiple pomeron exchanges between the initial hadrons. Asymptotic behaviour of the single diffractive dissociation cross-section is calculated in the approximation where every pomeron in the 3P -diagram is eikonalized as well as an elastic interaction of initial hadrons is taken into account. In this approximation σ SD /σ totdoi:10.1103/physrevd.53.r1018 pmid:10020168 fatcat:3szuwijxcvabfiuoyalumb2eeu