Geometric scaling behavior of the scattering amplitude for DIS with nuclei

Andrey Kormilitzin*, Eugene Levin, Sebastian Tapia

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

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 xA=1/mRA 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 satisfactory.

Original languageEnglish
Pages (from-to)245-264
Number of pages20
JournalNuclear Physics A
Volume872
Issue number1
DOIs
StatePublished - Dec 2011

Funding

FundersFunder number
Fondo Nacional de Desarrollo Científico y Tecnológico1100648

    Keywords

    • BFKL Pomeron calculus
    • Color Glass Condensate
    • Geometric scaling behavior
    • Gluon saturation
    • Non-linear evolution

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