We predict that xcJ mesons at low transverse momentum in the central rapidity region are almost dissociated by nucleons and antinucleons in hadronic matter produced in central Au+Au collisions at relativistic high-ion collider (RHIC) energies √SNN = 130 and 200 GeV. In the calculations the nucleon and antinucleon distributions in hadronic matter are results of evolution from their freeze-out distributions which well fit the experimental transverse momentum spectra of proton and antiproton.