Soft Pomeron in the Colour Glass Condensate approach

Abstract

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 \sim 1/Q_s\Lb \h Y \Rb $, where $Y=lns$. The saturation momentum, which determines the energy dependence of the scattering amplitude is proportional to $ Q^2_s\Lb \h Y \Rb \propto\,\exp\Lb\h λ\,Y\Rb$, with $\lambda \approx 0.2$, and this behaviour is in perfect agreement with phenomenological Donnachie-Landshoff Pomeron. We demonstrate that the saturation models could describe the experimental data for ${\sigma }_{tot},{\sigma }_{el},{\sigma }_{diff}$ and $B_{el}$. Hence our approach is a good first approximation to start discussion of the soft processes in CGC approach on the solid theoretical basis.

19pp 28 figures in pdf files

References in corpus (19)

• Analysis of combined HERA data in the Impact-Parameter dependent Saturation model
• Impact parameter dependent colour glass condensate dipole model
• Nuclear enhancement and suppression of diffractive structure functions at high energies
• Exclusive diffractive processes in electron-ion collisions
• Non-linear evolution in QCD at high-energy beyond leading order
• CGC predictions for p+A collisions at the LHC and signature of QCD saturation
• Measurement of diffraction dissociation cross sections in pp collisions at sqrt(s) = 7 TeV
• First measurement of elastic, inelastic and total cross-section at $\sqrt{s}=13$ TeV by TOTEM and overview of cross-section data at LHC energies
• Summing Pomeron loops in the dipole approach
• QCD Reggeon Field Theory for every day: Pomeron loops included
• A zero-dimensional model for high-energy scattering in QCD
• From bubbles to foam: dilute to dense evolution of hadronic wave function at high energy
• Multiparticle production in the mean field approximation of high density QCD
• CGC/saturation approach: a new impact-parameter dependent model in the next-to-leading order of perturbative QCD
• Large $\mathbf{b}$ behaviour in the CGC/saturation approach: BFKL equation with pion loops
• Dynamics of diffractive dissociation
• Large impact parameter behaviour in the CGC/saturation approach: a new non-linear equation
• Non-linear evolution in the re-summed next-to-leading order of perturbative QCD:\confronting the experimental data
• Non-linear equation in the re-summed next-to-leading order of perturbative QCD: the leading twist approximation

Cited by in corpus (1)

• CGC and saturation approach: Impact-parameter dependent model of perturbative QCD and combined HERA data