Diffractive production of charm in DIS and gluon nuclear shadowing

We evaluate nuclear shadowing of the total cross section of charm particles production in DIS within the framework of Gribov theory of nuclear shadowi ng generalized to account for the QCD evolution. We use as an input the rec ent QCD Pomeron parton density analysis of the HERA diffractive data. Assum ing that the QCD factorization theorem is applicable to the charm productio n off nuclei we also calculate shadowing of the gluon densities in nuclei a nd find it sufficiently large for heavy nuclei: G(A similar to 200)(x, Q(2) )/AG(N)(x, Q(2)) similar to 0.45 - 0.5 . (A/200)(-0.15) for x similar to 10 (-3 divided by-4), Q(2) similar to 20 divided by 40GeV(2) to influence sign ificantly the physics of heavy ion collisions at LHC. We evaluate also supp ression of minijet and hidden charm production in the central AA collisions . We also discuss some properties of the find states for gamma*A processes dominated by the scattering off small x gluons like the high p(t) jet and c harm production.