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 → cc(3S1(8) or 3PJ(80) + s, d, followed by the transition cc(3S1(8), or 3PJ(8)) → 3DJ, 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|O3DJ(3S1(8))|0〉 and 〈0|O3DJ(3PJ(8))|0〉 are the same order of magnitudes with the 〈0|Oψ′ (3S1(8))|0〉, we find that the 1,3D2 can be observed B-factories.