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We study the $\Upsilon$ exclusive decay into double charmonium, specifically,the $S$-wave charmonium $ J/\psi$ plus the $P$-wave charmonium $\chi_{c0,1,2}$in the NRQCD factorization framework. Three distinct decay mechanisms, i.e.,the strong, electromagnetic and radiative decay channels are included and theirinterference effects are investigated. The decay processes$\Upsilon(1S,2S,3S)\to J/\psi+\chi_{c1,0}$ are predicted to have the branchingfractions of order $10^{-6}$, which should be observed in the prospective Super$B$ factory.

Exclusive decay of $\Upsilon$ into $J/\psi+\chi_{c0,1,2}$