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

The coherent and incoherent $$J/\\Psi $$\n photoproduction in $$Pb - Pb$$\n 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.