The photoproduction of isolated photons has been measured in diffractive events recorded by
the ZEUS detector at HERA. Cross sections are evaluated in the photon transverse-energy and
pseudorapidity ranges 5 < ET(γ) <15 GeV and −0.7 < η(γ) < 0.9 inclusively and also with a jet
with transverse energy and pseudorapidity in the ranges 4< ET(jet) < 35 GeV and -1.5< η(jet) < 1.8, using a total integrated electron–proton luminosity of 374 pb−1. A number of kinematic variables were studied and compared to predictions from the RAPGAP Monte Carlo model. An excess of data is observed above the RAPGAP predictions for zP(meas) > 0.9, where zP(meas) is the fraction of the longitudinal momentum of the colourless “Pomeron” exchange that is transferred to the photon–jet final state, giving evidence for direct Pomeron interactions.