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We study the impact of different cold nuclear matter effects both on J/\psi\and \psi' production, among them the modification of the gluon distribution inbound nucleons, commonly known as gluon shadowing, and the survival probabilityfor a bound state to escape the nucleus --the nuclear absorption. Lessconventional effects such as saturation and fractional energy loss are alsodiscussed. We pay a particular attention to the recent PHENIX preliminary dataon \psi' production in dAu collisions at sqrt{s}=200 GeV, which show a strongsuppression for central collisions, 5 times larger than the one obtained forJ/\psi\ production at the same energy. We conclude that none of theabovementioned mechanisms can explain this experimental result.

J/\psi\ and \psi' production in proton(deuteron)-nucleus collisions: lessons from RHIC for the proton-lead LHC run