A fresh look at diffractive $J/ψ$ photoproduction at HERA, with predictions for THERA

Abstract

We quantify perturbative and non-perturbative QCD effects in the exclusive $J/ψ$-photoproduction cross section, and in the shrinkage of the differential cross section with respect to momentum transfer, $t$. We predict that in the high energy THERA region there will always be a significant contribution to this process that rises quickly with energy. This implies that the taming of the rise of the cross section with energy, due to both the expansion of spatially-small fluctuations in the photon and to higher twist effects, is rather gradual.

Published version, 29 pages, 16 figures, uses JHEP.cls. Substantially rewritten to better emphasize the generality of the results in response to the referee's comments. Predictions for MRST LO partons added, calculations and discussion of the real part of the amplitude and of alpha prime improved. Five of the original figures modified. Two new plots, of the dipole cross section for two different values of parameter lambda, and of energy dependence of alpha prime, added. Three additional references included