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The inclusive J/$\psi$ meson production in Pb-Pb collisions at acenter-of-mass energy per nucleon-nucleon collision of $\sqrt{s_{\rm NN}}$ =5.02 TeV at midrapidity ($|y|$ < 0.9) is reported by the ALICE Collaboration.The measurements are performed in the dielectron decay channel, as a functionof event centrality and J/$\psi$ transverse momentum $p_{\rm T}$, down to$p_{\rm T}$ = 0 GeV/$c$. The J/$\psi$ mean transverse momentum $\langle p_{\rmT} \rangle$ and $r_{\rm AA}$ ratio, defined as $\langle p^{\rm 2}_{\rm T}\rangle_{\rm PbPb}/\langle p^{\rm 2}_{\rm T} \rangle_{\rm pp}$, are evaluated.Both observables show a centrality dependence decreasing towards central(head-on) collisions. The J/$\psi$ nuclear modification factor $R_{\rm AA}$exhibits a strong $p_{\rm T}$ dependence with a large suppression at high$p_{\rm T}$ and an increase to unity for decreasing $p_{\rm T}$. Whenintegrating over the measured momentum range $p_{\rm T}$ < 10 GeV/$c$, theJ/$\psi$ $R_{\rm AA}$ shows a weak centrality dependence. Each measurement iscompared with results at lower center-of-mass energies and with ALICEmeasurements at forward rapidity, as well as to theory calculations. Allreported features of the J/$\psi$ production at low $p_{\rm T}$ are consistentwith a dominant contribution to the J/$\psi$ yield originating from charm quark(re)combination.

Centrality and transverse momentum dependence of inclusive J/$\psi$ production at midrapidity in Pb-Pb collisions at $\sqrt{s_{\rm NN}}$ = 5.02 TeV