English

Dipole-dipole scattering amplitude in CGC approach

High Energy Physics - Phenomenology 2023-03-29 v2

Abstract

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 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 YY. It turns out that such behaviour 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.

Keywords

Cite

@article{arxiv.2209.07095,
  title  = {Dipole-dipole scattering amplitude in CGC approach},
  author = {Eugene Levin},
  journal= {arXiv preprint arXiv:2209.07095},
  year   = {2023}
}

Comments

15pp, two figures in pdf files