Coherent and incoherent $J/\Psi $ photoproduction in $Pb - Pb$ collisions at the LHC, HE-LHC and FCC

The coherent and incoherent $J/\Psi $ photoproduction in $Pb - Pb$ collisions are investigated by considering the possible states of nucleon configurations in the nuclear wave function and of the non-linear corrections to the QCD dynamics. The cross sections and the differential rapidity and transverse momentum distributions are estimated for the energies of the future runs of the LHC, High-Energy LHC and Future Circular Collider. Our results indicate that a future experimental analysis of these processes will be useful to discriminate between different approaches for the QCD dynamics as well to improve our description of the gluon saturation effects.