  We present calculations for the incoherent photoproduction of J/$\psi$ vector
mesons in ultra-peripheral heavy ion collisions (UPC) in terms of hadronic
interactions. This study was carried out using the recently developed Monte
Carlo model CRISP extended to include UPCs at LHC energies. A careful study of
re-scattering and destruction of the J/$\psi$ particles is presented for PbPb
collisions at $\sqrt{s_{NN}} = 2.76$ TeV. We have also compared our method to
AuAu collisions at $\sqrt{s_{NN}} = 200$ GeV measured at RHIC.
