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An excess of J/$\psi$ yield at very low transverse momentum ($p_{\rm T} <0.3$ GeV/$c$), originating from coherent photoproduction, is observed inperipheral and semicentral hadronic Pb$-$Pb collisions at a center-of-massenergy per nucleon pair of $\sqrt{s_{\rm NN}} = 5.02$ TeV. The measurement isperformed with the ALICE detector via the dimuon decay channel at forwardrapidity ($2.5<y<4$). The nuclear modification factor at very low $p_{\rm T}$and the coherent photoproduction cross section are measured as a function ofcentrality down to the 10% most central collisions. These results extend theprevious study at $\sqrt{s_{\rm NN}} = 2.76$ TeV, confirming the clear excessover hadronic production in the $p_{\rm T}$ range 0$-$0.3 GeV/$c$ and thecentrality range 70$-$90%, and establishing an excess with a significancegreater than 5$\sigma$ also in the 50$-$70% and 30$-$50% centrality ranges. Theresults are compared with earlier measurements at $\sqrt{s_{\rm NN}} = 2.76$TeV and with different theoretical predictions aiming at describing howcoherent photoproduction occurs in hadronic interactions with nuclear overlap.

Photoproduction of low-$p_{\rm T}$ J/$\psi$ from peripheral to central Pb$-$Pb collisions at 5.02 TeV