Heisenberg's Universal (lns)**2 Increase of Total Cross Sections

Abstract

The (lns)**2 behaviour of total cross-sections, first obtained by Heisenberg 50 years ago, receives now increased interest both on phenomenological and theoretical levels. In this paper 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.

6 pages, 3 figures

References in corpus (2)

• Froissart Bound from Gluon Saturation
• Instanton-induced Semi-hard Parton Interactions and Phenomenology of High Energy Hadron Collisions

Cited by in corpus (12)

• Heisenberg saturation of the Froissart bound from AdS-CFT
• Evidence for a Constant `Edge' in Proton-Proton Scattering at Very High Energies
• Asymptotic Energy Dependence of Hadronic Total Cross Sections from Lattice QCD
• Proton-proton cross-sections: the interplay between density and radius
• Comments on high-energy total cross sections in QCD
• Studies of Quantum Chromodynamics at the LHC
• Behavior Of Very High Energy Hadronic Cross Sections
• The Froissart--Martin Bound for $\pi \pi$ Scattering in QCD
• Generalized upper bound for inelastic diffraction
• Anatomy of QCD Strings and Saturation Effects in High-Energy Scattering
• The universal ${\ln }^{2}s$ increase in total cross sections
• High-energy behavior of hadronic total cross sections from lattice QCD