On solutions of the Balitsky-Kovchegov equation with impact parameter

K. Golec-Biernat, Anna Stasto

Research output: Contribution to journalArticle

110 Citations (Scopus)

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

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saturation
dipoles
scaling
cross sections

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

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On solutions of the Balitsky-Kovchegov equation with impact parameter. / Golec-Biernat, K.; Stasto, Anna.

In: Nuclear Physics B, Vol. 668, No. 1-2, 22.09.2003, p. 345-363.

Research output: Contribution to journalArticle

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AB - 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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