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

Abstract

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_(^3S_1^(8) or ^3P_J^(8))+s,d, followed by the transition cc_(^3S_1^(8) or ^3P_J^(8)) -> ^3D_J, strongly dominate over any other subprocess, due to the large Wilson coefficient for the \Delta B = 1 effective lagrangian. Assuming that the numerical values of the matrix elements <0|O^{^3D_J}(^3S_1^(8))|0> and <0|O^{^3D_J}(^3P_J^(8))|0> are the same order of magnitudes with the <0| O^{\psi^'}(^3S_1^(8))|0>, we find that the ^{1,3}D_{2} can be observed at future B-factories.