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The nuclear suppression of forward $J/\psi$ production in high energyproton-nucleus collisions can be used as a probe of gluon saturation at small$x$. In an earlier work we studied this suppression in minimum bias collisionsin the Color Glass Condensate formalism, relying on the optical Glauber modelto obtain the dipole cross section of the nucleus from the one of the protonfitted to HERA DIS data. Here we study how the impact parameter dependence ofthis model can be used to compare our results with recent LHC data on thecentrality dependence of this suppression.

Forward $J/\psi$ production in pA collisions: centrality dependence