Abstract
The direct production rates of $D$-wave charmonia in the decays of ${Z}^{0}$ are evaluated. The color-octet production processes ${Z}^{0}{\ensuremath{\rightarrow}}^{3}{D}_{J}(c\overline{c})q\mathrm{q\ifmmode\bar\else\textasciimacron\fi{}}$ are shown to have distinctively large branching ratios as compared with other $D$-wave charmonium production mechanisms under a proper assumption. This may suggest a crucial channel to test the color-octet mechanism as well as to observe the $D$-wave charmonium states in ${Z}^{0}$ decays. In addition, a signal for the ${}^{3}{D}_{J}$ charmonium states with a large transverse momentum at the Fermilab Tevatron should be observed.
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