Nonlinear QCD Evolution: Saturation without Unitarization

Details Nonlinear QCD Evolution: Saturation without Unitarization Nonlinear QCD Evolution: Saturation without Unitarization

2001-12-10

arxiv.org/abs/hep-ph/0112140v1

Phys.Rev. D66 (2002) 051502

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, RevTeX

Scientific paper

10.1103/PhysRevD.66.051502

We consider the perturbative description of saturation based on the nonlinear QCD evolution equation of Balitsky and Kovchegov (BK). Although the nonlinear corrections lead to saturation of the scattering amplitude locally in impact parameter space, we show that they do not unitarize the total cross section. The total cross section for the scattering of a strongly interacting probe on a hadronic target is found to grow exponentially with rapidity. The origin of this violation of unitarity is the presence of long range Coulomb fields away from the saturation region. The growth of these fields with rapidity is not tempered by the nonlinearity of the BK equation.

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