Nucleon-χcJ dissociation cross sections obtained in the quark exchange mechanism are applied to study χcJ suppression in hadronic matter created in central Pb+Pb and S+Pb collisions.Thermal average of the product of the dissociation cross section and the relative velocity of nucleon and χcJ is discussed.The survival probabilities of χcJ in the central Pb+Pb and S+Pb collisions show that the suppression caused by the collisi...