Predictions of the generalized Glauber model for the coherent [Formula Presented] production at relativistic and ultrarelativistic energies

We calculate the rapidity distribution and the total cross section of coherent and incoherent [Formula Presented] production in heavy ion ultraperipheral collisions at [Formula Presented] using the generalized vector dominance model and the Gribov-Glauber approach. We find the coherent cross section of ρ-production [Formula Presented] compared to [Formula Presented] recently reported by the STAR collaboration at RHIC. The predicted cross section inside the acceptance of the experiment, [Formula Presented] agrees with the data within half a standard deviation. It is emphasized that measurements of the rapidity distribution will provide a much more stringent test of the used approach.