Es. Martynov et Bv. Struminsky, UNITARIZED MODEL OF HADRONIC DIFFRACTIVE DISSOCIATION, Physical review. D. Particles and fields, 53(3), 1996, pp. 1018-1022
It is shown that in a supercritical Pomeron model the contribution of
the triple-Pomeron diagrams violates the unitarity bound for the cross
section even when taking into account the multiple Pomeron exchanges
between the initial hadrons. The asymptotic behavior of the single dif
fractive dissociation cross section is calculated in the approximation
where every Pomeron in the 3P diagram is eikonalized as well as an el
astic interaction of initial hadrons is taken into account. In this ap
proximation sigma(SD)/sigma(tot)-->0, at s-->infinity.