Color-octet mechanism in the inclusive D-wave charmonium productions in B decays

The inclusive D-wave charmonium production rates in B decays are considered in the Bodwin-Braaten-Lepage (BBL) approach. We find that the color-octet subprocesses B → cc̄(³S^(8)Ior ³P⁽⁸⁾_J) + s, d, followed by the transition cc̄(³S⁽⁸⁾_J, or ³P⁽⁸⁾_J) → ³D_J, strongly dominate over any other subprocess, due to the large Wilson coefficient for the ΔB = 1 effective lagrangian. Assuming that the numerical values of the matrix elements 〈0|O^3DJ(3S⁽⁸⁾_i)|0) and (0|O^3DJ(³P⁽⁸⁾_J)|0〉 are the same order of magnitudes with the 〈0|O^ψ1 (³S⁽⁸⁾_i)|0〉, we find that the ^1,3D₂ can be observed at future B-factories.