Impact parameter dependence in the Balitsky-Kovchegov equation

摘要

We study an impact parameter dependence of solutions of 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 as long as the cutoff is sufficiently large compared to the momentum scale associated with the large distance falloff of the impact parameter distribution. (c) 2005 Elsevier B.V. All rights reserved.