Dipole-dipole scattering amplitude in the CGC approach

Eugene Levin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


In this paper we propose recurrence relations for the dipole densities in QCD, which allows us to find these densities from the solution to the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation. We resolve these relations in the diffusion approximation for the BFKL kernel. Based on this solution, we found the sum of large Pomeron loops. This sum generates the scattering amplitude that decreases at large values of rapidity Y. It turns out that such behavior of the scattering amplitudes is an artifact of diffusion approximation. This approximation leads to the unitarization without saturation both in deep inelastic scattering and in dipole-dipole interaction at high energies.

Original languageEnglish
Article number054012
JournalPhysical Review D
Issue number5
StatePublished - 1 Mar 2023


FundersFunder number
Fondo Nacional de Desarrollo Científico y Tecnológico1180118
Tel Aviv University5731
Agencia Nacional de Investigación y DesarrolloPIA/APOYO AFB180002


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