D-wave charmonium production inBdecays

The calculation of $D$-wave charmonium production rates in $B$ meson decays under the NRQCD factorization formalism is presented. We find that the inclusion of the color-octet contributions permits us to detect the $D$-wave charmonium states in $B$ decays at present experimental facilities. The same amount of signals of the $2^{--}$ $D$-wave state as that of ${\psi }^{\prime }$ could be observed at CERN LEP and CESR. We also predict that the relative production rates for four $D$-wave states are ${\delta }^c:{\delta }_1^c:{\delta }_2^c:{\delta }_3^c=2.5:3:5:7\mathrm{}$, where ${\delta }^c,\hspace{0.5em}{\delta }_1^c,\hspace{0.5em}{\delta }_2^c,\hspace{0.5em}{\delta }_3^c$ represent, respectively, the $2^{-+},\hspace{0.5em}{1}^{--},\hspace{0.5em}{2}^{--},\hspace{0.5em}{3}^{--}$ states.