  In this paper, we discuss the exclusive photoproduction of ground and excited
states of $\psi(1S,2S)$ and $\Upsilon(1S,2S)$ in ultraperipheral collisions
(UPCs). Using the potential model in order to obtain the vector meson wave
function, we find a good agreement of our calculations with data from the LHC
and HERA colliders for $J/\psi (1S,2S) $ and $\Upsilon(1S)$ in $\gamma p$
collisions. We extend the calculations to the nuclear target case applying them
to $AA$ UPCs with the use of the shadowing and finite coherence length effects
fitted to the data. Our results are compared to the recent LHC data, in both
incoherent ($J/\Psi(1S)$ at 2.76 TeV) and coherent ($J/\Psi(1S)$ at 2.76 and
5.02 TeV) processes. We also show the corresponding predictions for the excited
states, in the hope that future measurements could provide more detailed
information about the vector meson wave functions and nuclear effects.
