Search for Muons Produced in Conjunction with theJψParticle

In a large-acceptance spectrometer at Fermilab, we have searched for multimuon events produced in collisions of 225-GeV/c protons and ${\pi }^{\pm }$ mesons with nuclei. In particular, additional muons accompanying the $\frac{J}{\psi }\to \mu \mu$ decay could signal charmed-particle production. For all data combined, the 90%-confidence limit on charmed-particle production in association with the $\frac{J}{\psi }$ is $\frac{{\sigma }_{\mathrm{JC}\overline{C}}}{{\sigma }_J}<0.01\mathrm{}$; the limit on production of $\frac{J}{\psi }$ pairs is $\frac{{\sigma }_{\mathrm{JJ}}}{{\sigma }_J}<0.021\mathrm{}$. Limits are also given for each beam particle separately.