Exclusive vector meson production in electron – ion collisions at the EIC, LHeC and FCC–$eh$

The exclusive vector meson production in electron – ion collisions for the energies of the future colliders is investigated. We present predictions for the coherent and incoherent ϕ and J/ψ production in eAu collisions considering the possible states of nucleon configurations in the nuclear wave function and taking into account of the non - linear corrections to the QCD dynamics. The cross sections and transverse momentum distributions are estimated assuming the energies of the Electron - Ion Collider (EIC), Large Hadron Electron Collider (LHeC) and Future Circular Collider (FCC – eh ). Our results indicate that a future experimental analysis of these processes can shed light on the modeling of the gluon saturation effects and constrain the description of the QCD dynamics at high energies.