Hadron Production in d-Au, p-Pb, Pb-Pb and Xe-Xe collisions at RHIC and LHC: Onset of Color Glass Condensate in Light of BK Evolution

An exact analytical solution to the Balitsky-Kovchegov equation is proposed incorporating Mellin transformation with saddle point approximation. The theoretical significance of this solution is its simplicity in form which requires a very small number of parameters. At pre asymptotic rapidities the solution is found to reconstruct the characteristic linear BFKL behavior. The feasibility of the solution is tested at both RHIC and LHC energies. Using this solution along with the idea of gluon saturation in color glass condensate, a very good description of RHIC and LHC data on differential yield is obtained for d-Au, p-p and p-Pb collisions at forward rapidities. Quantitative prediction for the charged particle transverse momentum pt and centrality dependencies of nuclear medication factors for p-Pb, Pb-Pb and Xe-Xe collisions relevant for recent LHC run 2 is yielded.