Nucleus-nucleus interaction in the perturbative QCD

The nucleus-nucleus interaction is studied in the framework of the perturbative QCD with \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$N_c\to\infty$\end{document} and a fixed coupling constant. The pomeron tree diagrams are summed by an effective field theory. The classical field equations are solved by an iteration procedure, which is found to be convergent in a restricted domain of not too high energies and atomic numbers. The found gluon distributions do not scale, have their maxima close to 2 GeV\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\!/c$\end{document} independent of rapidity and fall towards the central rapidity region. The cross-sections slowly grow with energy due to the contribution from peripheral collisions, where evolution remains linear. Simple variational estimates at higher rapidities confirm this tendency.