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We use a diagrammatic approach to study color-neutral heavy particleproduction in nucleus-nucleus collisions in a quasi-classical approximationwithout small-$x$ evolution. In order to treat the two nuclei symmetrically, weuse the Coulomb gauge which gives the appropriate light cone gauge for eachnucleus. The resulting cross section is factorized into a product of twoWeizs\"{a}cker-Williams gluon distributions of the two nuclei when thetransverse momentum of the produced scalar particle is around the saturationmomentum. We confirm our results in covariant gauge where the transversemomentum broadening of hard gluons can be described as a diffusion process. Thetransverse momentum factorization manifests itself in light cone gauge but notso clearly in covariant gauge.

Color-neutral heavy particle production in nucleus-nucleus collisions in the quasi-classical approximation