Deeply virtual Compton scattering at small-$x$ in future Electron - Ion Colliders

Abstract

The study of exclusive processes in the future electron-ion ($eA$) colliders will be an important tool to investigate the QCD dynamics at high energies as they are in general driven by the gluon content of the target which is strongly subject to parton saturation effects. In this paper we compute the coherent and incoherent cross sections for the deeply virtual Compton scattering (DVCS) process relying on the color dipole approach and considering different models for the dipole - proton scattering amplitude. The dependencies of the cross sections with the energy, photon virtuality, nuclear mass number and squared momentum transfer are analysed in detail. We demonstrate that the ratio between the incoherent and coherent cross sections decreases at smaller values of $Q^2$ and increases at smaller values of $A$. We show that the coherent cross section dominates at small $t$ and exhibits the typical diffractive pattern, with the number of dips in the range $|t|\le 0.3$ GeV${}^2$ increasing with the mass atomic number. Our results indicate that the position of the dips are independent of the model used to treat the dipole - proton interaction as well as of the center-of-mass energy.

11 pages, 10 figures. Improved version to be published in Physical Review C

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Cited by in corpus (9)

• Investigating the impact of the gluon saturation effects on the momentum transfer distributions for the exclusive vector meson photoproduction in hadronic collisions
• Coherent and incoherent vector meson electroproduction in the future electron-ion colliders: the hot-spot predictions
• Diffractive deeply inelastic scattering in future electron-ion colliders
• Nuclear effects in Drell-Yan pair production in high-energy $pA$ collisions
• Exclusive vector meson production in electron-ion collisions at the EIC, LHeC and FCC-$eh$
• Exclusive processes in $ep$ collisions at the EIC and LHeC: A closer look on the predictions of saturation models
• Diffractive $\rho$ production at small $x$ in future Electron - Ion Colliders
• Coulomb corrections to inclusive cross sections at the future Electron - Ion Collider
• Gluon imaging using azimuthal correlations in diffractive scattering at the Electron-Ion Collider