Nucleus-nucleus cross-sections and long-range correlations with a local supercritical pomeron

Nucleus-nucleus scattering is studied in the local Reggeon Field Theory in the quasi-classical approximation with non-eikonal boundary conditions corresponding to the Glauber picture at low energies. Comparison with the commonly used eikonal boundary conditions shows that the new conditions make both the action and nucleus-nucleus total cross-sections lower by 3-5%. They substantially change the behaviour of the solutions of the equations of motion at low energies and small values of the impact parameter. Using expressions for the double inclusive cross-sections derived earlier in the Reggeon Field Theory [M. Ciafaloni, G. Marchesini, Nucl. Phys. B 109 (1976) 261] long-range rapidity correlations are calculated for the RHIC and LHC energies.