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26 April 2024

» arxiv » hep-ph/0103283

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Investigation of the Role of Elastic Unitarity in High-Energy Scattering: Gribov's Theorem and the Froissart Bound
Andre Martin ; Jean-Marc Richard ;
Date:	27 Mar 2001
Subject:	hep-ph
Affiliation:	CERN) and Jean-Marc Richard (Grenoble
Abstract:	We re-examine V. Gribov’s theorem of 1960 according to which the total cross-section cannot approach a finite non-zero limit with, at the same time, a diffraction peak having a finite slope. We are very close to proving by an explicit counter-example that elastic unitarity in the elastic region is an essential ingredient of the proof. By analogy, we raise the question of the saturation of the Froissart-Martin bound, for which no examples incorporating elastic unitarity exist at the present time.
Source:	arXiv, hep-ph/0103283
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