Deeply Virtual Compton Scattering on nucleons and nuclei in the Generalized Vector Meson Dominance model

We consider Deeply Virtual Compton Scattering (DVCS) on nucleons and nuclei in the framework of the Generalized Vector Meson Dominance (GVMD) model. We demonstrate that the GVMD model provides a good description of the HERA data on the dependence of the proton DVCS cross-section on Q(2), W (at Q(2) = 4GeV(2)) and t. At Q(2) = 8GeV(2), the soft W-behavior of the GVMD model somewhat underestimates the W-dependence of the DVCS cross-section due to the hard contribution not present in the GVMD model. We estimate 1/Q(2) power-suppressed corrections to the DVCS amplitude and the DVCS cross-section and find them large. We also make predictions for the nuclear DVCS amplitude and cross-section in the kinematics of the future Electron-Ion Collider. We predict significant nuclear shadowing, which matches well predictions of the leading-twist nuclear shadowing in DIS on nuclei.