Cronin momentum behavior in saturation model for $p+A$, $d+A$, $A+A$ collisions

Abstract

In this paper we consider Cronin momentum behaviour for $p+A$, $d+A$ and $A+A$ collisions in saturation model. Our analysis shows that Cronin momentum behavior at different rapidities and energies, can be related with scaling law using simple dimensional consideration. Using exact numerical solution of Balitsky-Kovchegov equation we show that although this dependence is slightly different for McLerran-Venugopalan and Balitsky-Kovchegov definition of gluon distribution function in simple model in this case dependencies is almost the same (i.e ratio of Cronin momentum calculated using these gluon distribution functions is big constant). This can be used to experimentally distinguish this two variant of gluon distribution function definition in saturation model and choose the right one.

15 pages, 6 figures

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