Unitarity corrections to the Drell-Yan process in the target rest frame

The unitarity correction effects encoded in the Glauber-Mueller approach are taken into account to calculate the differential cross sections in the Drell-Yan process in the rest frame. A detailed study of the Drell-Yan process in terms of the ${\gamma }^{*}q$ transverse separation and the color dipole size, and of the effective dipole cross section, is performed and compared with the available small x data. Estimates for the Drell-Yan cross section at BNL RHIC energies are presented and discussed.