D-wave Charmonium Production in $e^{+}{e}^{-}$ Annihilation at $\sqrt{s}=10.6$ GeV

Abstract

We calculate the D-wave charmonium production in $e^{+}{e}^{-}$ annihilation at BELLE and BABAR at $\sqrt{s}=10.6$ GeV using the nonrelativistic QCD factorization formalism, including color singlet and color octet contributions. We analyze the contributions of various processes for ${\delta }_J(J=1,2)$ production. We find that both the color singlet and color octet channels may give substantial contributions, and the production rates are estimated to be $\sigma ({\delta }_1)\simeq 0.043-0.16pb$ and $\sigma ({\delta }_2)\simeq 0.094-0.29pb$, which, however, are very sensitive to the choice of the color octet matrix elements of the D-wave charmonium states. The measurement of D-wave charmonium production at BABAR and BELLE in the future will be very helpful to test the color octet mechanism and to determine the color octet matrix elements.

Comments: 9 pages, 1 figure, final version to appear in Physics Letters B