Unitarized model of hadronic diffractive dissociation

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 dissoci\-ation 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 $\sigma^{SD}/\sigma_{tot}\rightarrow 0$ at $s\rightarrow \infty.$