Es. Martynov et Bv. Struminsky, EIKONAL APPROXIMATION FOR THE DIFFRACTIVE DISSOCIATION OF HADRONS, Physics of atomic nuclei, 59(10), 1996, pp. 1755-1760
In the supercritical-Pomeron model, the contribution of the triple-Pom
eron diagram violates the unitarity bound on the cross section even if
multiple Pomeron exchanges between initial hadrons are taken into acc
ount. The asymptotic behavior of the cross section for single diffract
ive dissociation is found in the approximation where each Pomeron in t
he triple-Pomeron diagram is eikonalized and where elastic interaction
s of initial hadrons are taken into account. In this approximation, th
e result is sigma(SD)/sigma(tot) proportional to ln(-1/2) s for s -->
infinity.