4.7 Article

Soft pomeron in the color glass condensate approach

Journal

PHYSICAL REVIEW D
Volume 106, Issue 3, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.106.034011

Keywords

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Funding

  1. Agencia Nacional de Investigacion y Desarrollo (ANID) Programa de Investigacion Asociativa (PIA)/APOYO (Chile) [AFB180002]
  2. Fondecyt (Chile) [1180118, 1191434]
  3. Conicyt Becas (Chile)
  4. PIIC, DPP, Universidad Tecnica Federico Santa Maria [009/2021]

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In this paper, a new approach to the structure of the soft Pomeron is suggested. Based on the t-channel unitarity, the exchange of the soft Pomeron is expressed through the interaction of a small-sized dipole with the hadrons. Experimental data for various scattering amplitudes are shown to be described well by the proposed saturation models. Therefore, this approach provides a good starting point to discuss soft processes in the color glass condensate approach on a solid theoretical basis.
In this paper we suggest a new approach to the structure of the soft Pomeron: based on the t-channel unitarity, we expressed the exchange of the soft Pomeron through the interaction of the dipole of small size of the order of 1/Q(s)(Y) [Q(s)(Y) is the saturation momentum] with the hadrons. Therefore, it is shown that the typical distances in soft processes are small r similar to 1/Q(s)(1/2Y), where Y = lns. The saturation momentum, which determines the energy dependence of the scattering amplitude, is proportional to Q(s)(2)(1/2Y) proportional to exp (1/2 lambda Y), with lambda approximate to 0.2, and this behavior is in perfect agreement with the phenomenological Donnachie-Landshoff Pomeron. We demonstrate that the saturation models could describe the experimental data for sigma(tot), sigma(el), sigma(diff) and B-e(l). Hence, our approach is a good first approximation to start discussion of the soft processes in the color glass condensate approach on the solid theoretical basis.

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