Diffractive Production at the TEVATRON and the LHC

We give the predictions for the diffractive production cross-sections of χ mesons based on the Bialas-Landshoff formalism in the central rapidity region. We use of the DPEMC Monte Carlo simulation with the appropriate kinematics for small-mass diffractive production. We compare generator level results with a CDF measurement for exclusive χ production, and study the background including the contribution of inclusive χ production. We show that the results agree with Tevatron data. We also highlight the exclusive χc0 production at LHC energies, and we investigate a possible measurement at the Tevatron using the D0 forward proton detectors. (author)