Unitarization of elastic amplitude on SO_mu(2.1) group
High Energy Physics - Phenomenology
2010-08-05 v1
Abstract
We obtain the solution of the unitarity equation for the elastic processes in terms of the expansion coefficients of the amplitude as a function on the SO_mu(2.1) group. This approach is a generalization of the eikonal representation to the case of small impact parameters and large transverse momenta. We show how the unitarity relation is modified when the contributions of the backward scattering are taken into account. We discuss the simplest models of the profile functions in the following cases: full reflection, full absorption and the combination of these two cases.
Keywords
Cite
@article{arxiv.0805.2296,
title = {Unitarization of elastic amplitude on SO_mu(2.1) group},
author = {O. N. Soldatenko and A. N. Vall and A. A. Vladimirov},
journal= {arXiv preprint arXiv:0805.2296},
year = {2010}
}
Comments
12 pages, 3 figures