Possible restriction on internal symmetry from unitarity and the strength of hadronic cross-sections

Abstract

We study the role of the self-consistent, nonlinear unitarity equation in the « 1/N dual unitarization » approach with at-dependent factorizable model, without and with inelastic diffraction. In the impact parameter representation of the unitarity equation, the input is the « cylinder » (nondiffractive) mechanism,i.e. the bare pomeron, which is strongly constrained by the planar bootstrap. A nontrivial lower bound is obtained for the (effective) quark flavour numberN in terms of the space-time properties of the model. We also investigate the dependence of the strength of hadronic cross-sections, and especially the ratioσel/σT, on bothN and the energy. Satisfactory numerical estimates are derived for the above physical quantities, in the NAL-ISR regime, by using our previous quantitative study of the « cylinder ».