We evaluate the cross sections for the dissociation of $J/\psi$ and ${\psi }^{\prime }$ by $\pi$ and $\rho$ at low collision energies, using the quark-interchange model of Barnes and Swanson. The dissociation cross section for $J/\psi$ by $\pi$ is found to be relatively small with a maximum of about 1 mb and a kinetic energy threshold of 0.65 GeV. The pion-induced ${\psi }^{\prime }$ dissociation cross section is found to be much larger, with a maximum of about 5 mb and a lower threshold. Dissociation cross sections for $J/\psi$ and ${\psi }^{\prime }$ by $\rho$ mesons are also evaluated and are found to be large near threshold.

• Received 20 April 2000

DOI:https://doi.org/10.1103/PhysRevC.62.045201