On solutions of the Balitsky-Kovchegov equation with impact parameter

Details On solutions of the Balitsky-Kovchegov equation with impact parameter On solutions of the Balitsky-Kovchegov equation with impact parameter

2003-06-27

arxiv.org/abs/hep-ph/0306279v2

Nucl.Phys.B668:345-363,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, 11 figures, LaTeX. References updated

Scientific paper

10.1016/j.nuclphysb.2003.07.011

We numerically analyze the Balitsky-Kovchegov equation with the full dependence on impact parameter b. We show that due to a particular b-dependence of the initial condition the amplitude decreases for large dipole sizes r. Thus the region of saturation has a finite extension in the dipole size r, and its width increases with rapidity. We also calculate the b-dependent saturation scale and discuss limitations on geometric scaling. We demonstrate the instant emergence of the power-like tail in impact parameter, which is due to the long range contributions. Thus the resulting cross section violates the Froissart bound despite the presence of a nonlinear term responsible for saturation.

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