## 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 language | English (US) |
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Pages (from-to) | 345-363 |

Number of pages | 19 |

Journal | Nuclear Physics B |

Volume | 668 |

Issue number | 1-2 |

DOIs | |

State | Published - Sep 22 2003 |

## All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics