On solutions of the Balitsky-Kovchegov equation with impact parameter

K. Golec-Biernat, A. M. Staśto

Research output: Contribution to journalArticle

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Abstract

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.

Original languageEnglish (US)
Pages (from-to)345-363
Number of pages19
JournalNuclear Physics B
Volume668
Issue number1-2
DOIs
StatePublished - Sep 22 2003

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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