English

Soft Pomeron in the Colour Glass Condensate approach

High Energy Physics - Phenomenology 2022-08-31 v1

Abstract

In this paper we suggest a new approach to the structure of the soft Pomeron: based on the tt-channel unitarity, we expressed the exchange of the soft Pomeron through the interaction of the dipole of small size of the order of 1/Qs(Y)1/Q_s(Y) (Qs(Y)Q_s(Y) is the saturation momentum) with the hadrons. Therefore, it is shown that the typical distances in soft processes are small r1/Qs\Lb\hY\Rbr \sim 1/Q_s\Lb \h Y \Rb , where Y=lnsY \,=\,ln s. The saturation momentum, which determines the energy dependence of the scattering amplitude is proportional to Qs2\Lb\hY\Rbexp\Lb\hλY\Rb Q^2_s\Lb \h Y \Rb \propto\,\exp\Lb\h \lambda\,Y\Rb, with λ0.2\lambda \approx\,0.2, and this behaviour is in perfect agreement with phenomenological Donnachie-Landshoff Pomeron. We demonstrate that the saturation models could describe the experimental data for σtot,σel,σdiff\sigma_{tot},\sigma_{el},\sigma_{diff} and BelB_{el}. Hence our approach is a good first approximation to start discussion of the soft processes in CGC approach on the solid theoretical basis.

Keywords

Cite

@article{arxiv.2203.10296,
  title  = {Soft Pomeron in the Colour Glass Condensate approach},
  author = {Carlos Contreras and Eugene Levin and Michael Sanhueza},
  journal= {arXiv preprint arXiv:2203.10296},
  year   = {2022}
}

Comments

19pp 28 figures in pdf files