Analytic Amplitudes for Hadronic Forward Scattering and the Heisenberg ln**2 Behaviour of Total Cross Section

Abstract

The ln**2 behaviour of total cross sections, first obtained by Heisenberg 50 years ago, receives now increased interest both on phenomenological and theoretical levels. We present a modification of the Heisenberg's model in connection with the presence of glueballs and we show that it leads to a realistic description of all existing hadron total cross-section data, in agreement with the COMPETE analysis.

Comments: 5 pages, 1 figure, 4 tables Invited talk at the QCD International Conference QCD03, Montpellier, France, July 2-9, 2003