Impact Parameter Dependence in the Balitsky-Kovchegov Equation

Details Impact Parameter Dependence in the Balitsky-Kovchegov Equation Impact Parameter Dependence in the Balitsky-Kovchegov Equation

2004-10-26

arxiv.org/abs/hep-ph/0410345v1

Nucl.Phys. A756 (2005) 385-398

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 7 figures

Scientific paper

10.1016/j.nuclphysa.2005.03.119

We study the impact parameter dependence of solutions to the Balitsky-Kovchegov (BK) equation. We argue that if the kernel of the BK integral equation is regulated to cutoff infrared singularities, then it can be approximated by an equation without diffusion in impact parameter. For some purposes, when momentum scales large compared to $\Lambda_{QCD}$ are probed, the kernel may be approximated as massless. In particular, we find that the Froissart bound limit is saturated for physical initial conditions and seem to be independent of the cutoff so long as the cutoff is sufficiently large compared to the momentum scale associated with the large distance falloff of the impact parameter distribution.

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