  We calculate production rates for several hard processes in ultraperipheral
proton-nucleus and nucleus-nucleus collisions at the LHC. The resulting high
rates demonstrate that some key directions in small $x$ research proposed for
HERA will be accessible at the LHC through these ultraperipheral processes.
Indeed, these measurements can extend the HERA $x$ range by roughly a factor of
10 for similar virtualities. Nonlinear effects on the parton densities will
thus be significantly more important in these collisions than at HERA.
