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

Abstract

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.