Comparison of $\psi (2S)$ and $J\mathrm{/}\psi$ photoproduction cross sections in Pb-Pb ultraperipheral collisions at the LHC

Within the leading logarithmic approximation of perturbative QCD and the leading twist approach to nuclear shadowing, we compare the cross sections of photoproduction of $J\mathrm{/}\psi$ and $\psi (2S)$ mesons on nuclei in Pb-Pb UPCs in the LHC kinematics. We find that the nuclear suppression of these cross sections due to the nuclear gluon shadowing is large and rather similar in the $J\mathrm{/}\psi$ and $\psi (2S)$ cases.