CGC/saturation approach: a new impact-parameter dependent model

Abstract

{In this paper we propose a new impact-parameter dependent CGC/saturation model. We introduce two new features in the model that make it consistent with what we know theoretically about the deep inelastic scattering. They are: the use of the exact form of the solution to the non-linear (BK) equation, whereas in all previous attempts only the form of $r^2{Q}_s^2$ dependence, has been taken into account; and the large impact parameter dependence, through the $b$-dependence of the saturation momentum which reproduce the correct behaviour of the amplitude at large impact parameters $b$ ($A \propto \exp\Lb - μb\Rb$) as well as at large momentum transferred $Q_T$ ($A$ decreases as a power of $Q_T$ as it follows from perturbative QCD). These improvement compared to all previous attempts to build such models, allows us to claim, that the experimental data are in accord with the prediction of CGC/saturation approach while previously, based on similar models, we could only conclude that the DIS data, perhaps, can be described by introducing the shadowing corrections at small photon virtualities.

19 pages, 20 figures in eps files

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• Testing the running coupling $k_T$-factorization formula for the inclusive gluon production
• Thermal radiation and inclusive production in the CGC/saturation approach at high energies
• A CGC/saturation approach for angular correlations in proton-proton scattering
• 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
• DGLAP evolution for DIS diffraction production of high masses
• Soft Pomeron in the Colour Glass Condensate approach
• Homotopy solution to non-linear evolution for heavy nuclei
• CGC and saturation approach: Impact-parameter dependent model of perturbative QCD and combined HERA data
• Azimuthal angle correlations at large rapidities: revisiting density variation mechanism
• CGC/saturation approach: an impact-parameter dependent model for diffraction production in DIS