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Secondary Charmonium Production at LHC Energy

We consider the production of charmonium by $D\bar D$ annihilation during the mixed and hadronic phase of Pb-Pb collision at LHC energy. The calculations for secondary $J/ψ$ and $ψ^,$ production are performed within a kinetic model taking into account the space-time evolution of a longitudinally and transversely expanding medium. It is shown that the yield of secondary $J/ψ$ mesons depends strongly on the $J/ψ$ dissociation cross section with co-moving hadrons. Within the most likely scenario for the dissociation cross section it will be negligible. The secondary production of $ψ^,$ mesons, however, due to their large cross section above the threshold, can substantially exceed the primary yield.