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We argue that hadron production in coherent diffraction of proton on a heavynucleus provides a very sensitive probe of the low-x QCD dynamics. This processprobes the BFKL dynamics in proton and the non-linear gluon evolution innucleus. We calculate the diffractive hadron production cross sections in theRHIC and LHC kinematic regions. To study the nuclear effects we introduce thediffractive nuclear modification factor. We show that unlike the nuclearmodification factor for inclusive hadron production that has a very interestingdynamics at RHIC but is expected to be almost completely saturated at the LHC,the nuclear modification factor for diffractive production exhibits anon-trivial behavior both at RHIC and LHC.

Probing the low-x structure of nuclear matter with diffractive hadron production in pA collisions