Predictions for nuclear structure functions from the impact-parameter dependent Balitsky-Kovchegov equation

Abstract

In this work we present dipole scattering amplitudes, including the dependence on the impact-parameter, for a variety of nuclear targets of interest for the electron-ion colliders (EICs) being currently designed. These amplitudes are obtained by numerically solving the Balitsky-Kovchegov equation with the collinearly improved kernel. Two different cases are studied: initial conditions representing the nucleus under consideration and the solutions based on an initial condition representing a proton complemented by a Glauber-Gribov prescription to obtain dipole-nucleus amplitudes. We find that the energy evolution of these two approaches differ. We use the obtained dipole scattering amplitudes to predict ($i$) nuclear structure functions that can be measured in deep-inelastic scattering at EICs and ($ii$) nuclear suppression factors that reveal the energy evolution of shadowing for the different cases we studied. We compare our predictions with the available data.

arXiv comment17 pages, 7 figures

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Cited by in corpus (7)

• Color charge correlations in the proton at NLO: beyond geometry based intuition
• Photonuclear $J/\psi$ production at the LHC: proton-based versus nuclear dipole scattering amplitudes
• Finite-size effects on small-$x$ evolution and saturation in proton and nuclear targets
• Momentum transfer squared dependence of exclusive quarkonia photoproduction in UPCs
• Solutions to the Balitsky-Kovchegov equation including the dipole orientation
• Determination of the initial condition for the Balitsky-Kovchegov equation with transformers
• Probing nuclear structure with the Balitsky-Kovchegov equation in full impact-parameter dependence