We evaluate the large momentum transfer $J/psi$ photoproduction with rapidity gaps in ultraperipheral proton-ion collisions at the LHC which provides an effective method of probing dynamics of large t elastic hard QCD Pomeron interactions. It is shown that the experimental studies of this process would allow to investigate the energy dependence of cross section of elastic scattering of a small $cbar c$ dipole off the gluon over a wide range of invariant energies 10^3 < s_{cbar c - gluon} < 10^6 GeV^2. The accessible energy range exceeds the one reached in gamma p at HERA by a factor of 10 and allows the kinematic cuts which improve greatly sensitivity to the Pomeron dynamics as compared to the HERA measurements. The cross section is expected to change by a factor ge 20 throughout this interval and our estimates predict quite reasonable counting rates for this process with the several of the LHC detectors.
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