Color-Octet Charmonium Production in Top Quark Decays

We calculate the direct production rate of $J/\psi$ in top quark decays. The color-octet $J/\psi$ production via $t\rightarrow W^+ b J/\psi$ is shown to have a large branching ratio of order $1.5\times 10^{-4}$, which is over an order of magnitude higher than that of the color-singlet $J/\psi$ production via $t\rightarrow W^+ b J/\psi~g~g $ or $t\rightarrow W^+ b~\chi_{cJ}~g$ followed by $\chi_{cJ}\rightarrow J/\psi~\gamma$. This result can be used as a powerful tool to test the importance of the color-octet mechanism in heavy quarkonium production.