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Nonlinear QCD evolution: Saturation without unitarization

Alexander Kovner and Urs Achim Wiedemann
Phys. Rev. D 66, 051502(R) – Published 30 September 2002
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Abstract

We consider the perturbative description of saturation based on the nonlinear QCD evolution equation of Balitsky and Kovchegov. 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 t=ln(s/s0), σexp{(αsNc/2π)εt} where ε is a number of order unity. 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 Balitsky-Kovchegov equation.

  • Received 17 December 2001

DOI:https://doi.org/10.1103/PhysRevD.66.051502

©2002 American Physical Society

Authors & Affiliations

Alexander Kovner

  • Department of Mathematics and Statistics, University of Plymouth, 2 Kirkby Place, Plymouth, PL4 8AA, United Kingdom

Urs Achim Wiedemann

  • Theory Division, CERN, CH-1211 Geneva 23, Switzerland

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Issue

Vol. 66, Iss. 5 — 1 September 2002

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