Geometric scaling behavior of the scattering amplitude for DIS with nuclei

Abstract

The main question, that we answer in this paper, is whether the initial condition can influence on the geometric scaling behavior of the amplitude for DIS at high energy. We re-write the non-linear Balitsky-Kovchegov equation in the form which is useful for treating the interaction with nuclei. Using the simplified BFKL kernel, we find the analytical solution to this equation with the initial condition given by the McLerran-Venugopalan formula. This solution does not show the geometric scaling behavior of the amplitude deeply in the saturation region. On the other hand, the BFKL Pomeron calculus with the initial condition at $x_A=1/m{R}_A$ given by the solution to Balitsky-Kovchegov equation, leads to the geometric scaling behavior. The McLerran - Venugopalan formula is the natural initial condition for the Color Glass Condensate (CGC) approach. Therefore, our result gives a possibility to check experimentally which approach: CGC or BFKL Pomeron calculus, is more adequate.

19pp, 11 figures in .eps files

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Cited by in corpus (7)

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• CGC/saturation approach: a new impact-parameter dependent model in the next-to-leading order of perturbative QCD
• Thermal radiation and inclusive production in the KLN model for ion-ion collisions
• Non linear evolution: revisiting the solution in the saturation region
• Homotopy solution to non-linear evolution for heavy nuclei
• Gluon saturation: survival probability for leading neutrons in DIS
• CGC/saturation approach: re-visiting the problem of odd harmonics in angular correlations