Nonlinear evolution of pomeron and odderon in momentum space

Abstract

The small x evolution of the QCD pomeron and the QCD odderon is investigated in the mean field limit of the Color Glass Condensate. The resulting system of coupled nonlinear evolution equations is transformed to the momentum space and analyzed at a very small momentum transfer. The main properties of the C-even and C-odd dipole densities in momentum space are obtained analytically. The critical scaling dimension is found for the odderon and the universal asymptotic behavior of the solutions is determined for small and large gluon momenta. We find that the same saturation scale characterizes both the pomeron and the odderon and both densities depend on the momentum only through the geometric scaling variable. The absorptive effects are found to cause a strong suppression of the odderon exchange amplitude for momenta below saturation scale and only a moderate suppression for larger momenta.

12+1 pages, 2 eps figures

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Cited by in corpus (13)

• Exclusive J/psi and Upsilon hadroproduction and the QCD odderon
• ${\eta }_c$ production in photon - induced interactions at the AFTER@LHC experiment as a probe of the Odderon
• Solving effective field theory of interacting QCD pomerons in the semi-classical approximation
• Probing the Odderon in coherent hadron - hadron interactions at CERN LHC
• Exclusive ${\eta }_c$ production from small-$x$ evolved Odderon at a electron-ion collider
• Regge Field Theory in zero transverse dimensions: loops versus "net" diagrams
• Odderon in baryon-baryon scattering from the AdS/CFT correspondence
• Photon-Odderon interference in exclusive ${\chi }_c$ charmonium production at the Electron-Ion Collider
• Local one-dimensional reggeon model of the interaction of pomerons and odderons
• BFKL ansatz for BK equation in conformal basis
• Pomeron fan diagrams in perturbative QCD
• Single spin asymmetry in forward $pA$ collisions from Pomeron-Odderon interference
• Small-$x$ evolution of dipole amplitude in momentum space: forward--off-forward correspondence