Unitarization of elastic amplitude on SO_mu(2.1) group

Details Unitarization of elastic amplitude on SO_mu(2.1) group Unitarization of elastic amplitude on SO_mu(2.1) group

2008-05-15

arxiv.org/abs/0805.2296v1

Eur.Phys.J.A38:71-76,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 3 figures

Scientific paper

10.1140/epja/i2008-10641-3

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.

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