English

Can one improve the Froissart bound?

High Energy Physics - Phenomenology 2009-11-13 v3

Abstract

We explain why we hope that the Froissart bound can be improved, either qualitatively or, more likely, quantitatively, by making a better use of unitarity, in particular elastic unitarity. In other instances (Gribov's theorem) elastic unitarity played a crucial role. A preliminary requirement for this is to work with an appropriate average of the cross-section, to make the problem well defined. This is possible, without destroying the Lukaszuk--Martin bound.

Cite

@article{arxiv.0812.0680,
  title  = {Can one improve the Froissart bound?},
  author = {Andre Martin},
  journal= {arXiv preprint arXiv:0812.0680},
  year   = {2009}
}

Comments

4 pages, latex with AIP style, Talk given at "Diffraction 2008", Lalonde-les-Maures, France, September 2008. Missing square root restored p. 3. pi^2->pi corrected in eq. (1)

R2 v1 2026-06-21T11:47:52.380Z