Traveling waves and geometric scaling at nonzero momentum transfer

2005/02/28 by Cyrille Marquet, C. Marquet, R. Peschanski +2
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/j.nuclphysa.2005.03.089

published as Nucl.Phys.A756:399-418,2005 · 14 pages, 2 figures, minor changes and misprints corrected, version to be published

openalex publication_date 2005/04/22 · arxiv created 2005/05/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We extend the search for traveling-wave asymptotic solutions of the non-linear Balitsky-Kovchegov (BK) saturation equation to non-forward dipole-target amplitudes. Making use of conformal invariant properties of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) kernel, we exhibit traveling-wave solutions in momentum space in the region where the momentum transfer q is smaller than the characteristic scale Q of the projectile. We prove geometric scaling in the variable Q/(q Omega_s(Y)) where Omega_s(Y) has the same energy dependence as in the forward analysis.

Citations

• Universality and tree structure of high-energy QCD
• Traveling wave fronts and the transition to saturation
• Onium-onium scattering at fixed impact parameter: exact equivalence between the color dipole model and the BFKL pomeron
• Impact parameter dependent S-matrix for dipole–proton scattering from diffractive meson electroproduction
• Tables of Integrals, Series, and Products