Non-diffractive Pomeron renormalization, multiplicities, and the topological expansion

The renormalization of the Pomeron due to nondiffractive Kanti K, Banti B production thresholds is considered within a simple generalization of the Chew-Rosenzweig multiperipheral realization of Veneziano's topological expansion. The results are consistent with the existence of both the 'low-energy' bare pomeron with intercept α=0.85 and Gribov bare Pomeron with intercept above one. The vacuum exchange part of 2sigmasub(KN)-sigmasub(πN) basically rises with energy. Qualitatively correct features of shrinkage and breaks of dsigma/dt emerge. The multiplicity of product clusters (n) increases with energy faster than lns and agrees with experiment for an average number of particles per cluster of 3-4. Independently of this model the Harari-Freund multiperipheral realization of the topological expansion is shown to be in serious difficulty with multiplicities, requiring around 20 particles per cluster. (Auth.)