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Traveling waves and geometric scaling at non-zero momentum transfer

arXiv:hep-ph/0502020 · doi:10.1016/j.nuclphysa.2005.03.089

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.

14 pages, 2 figures, minor changes and misprints corrected, version to be published