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

Abstract

The renormalization of the Pomeron due to nondiffractive K K , B 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 2 σ KN− σ πN basically rises with energy. Qualitatively correct features of shrinkage and breaks of dσ dt emerge. The multiplicity of product clusters ( n) increases with energy faster than 1n s and agrees with experiment for an average number of particles per cluster of 3–4. Independently of our 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.