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The cross section for coherent photonuclear production of J/$\psi$ ispresented as a function of the electromagnetic dissociation (EMD) of Pb. Themeasurement is performed with the ALICE detector in ultra-peripheral Pb-Pbcollisions at a centre-of-mass energy per nucleon pair of$\sqrt{s_{\mathrm{NN}}}=5.02$ TeV. Cross sections are presented in fivedifferent J/$\psi$ rapidity ranges within $|y|<4$, with the J/$\psi$reconstructed via its dilepton decay channels. In some events the J/$\psi$ isnot accompanied by EMD, while other events do produce neutrons from EMD at beamrapidities either in one or the other beam direction, or in both. The crosssections in a given rapidity range and for different configurations of neutronsfrom EMD allow for the extraction of the energy dependence of this process inthe range $17 < W_{\gamma\, \mathrm{Pb, n}} <920$ GeV, where $W_{\gamma\,\mathrm{Pb, n}}$ is the centre-of-mass energy per nucleon of the$\gamma\,\mathrm{Pb}$ system. This range corresponds to a Bjorken-$x$ intervalspanning about three orders of magnitude: $ 1.1\times10^{-5}<x<3.3\times10^{-2}$. In addition to the ultra-peripheral and photonuclear cross sections,the nuclear suppression factor is obtained. These measurements point to astrong depletion of the gluon distribution in Pb nuclei over a broad,previously unexplored, energy range. These results, together with previousALICE measurements, provide unprecedented information to probe quantumchromodynamics at high energies.

Energy dependence of coherent photonuclear production of J/$\psi$ mesons in ultra-peripheral Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$=5.02 TeV