On the Colour Suppressed Decay Modes B^0 --> D_s^+ D_s^- and B_s^0 --> D^+ D^-

Abstract

We point out that the decay modes B^0 --> D_s^+ D_s^- and B_s^0 --> D^+ D^- have no factorized contribution. At quark level these dacays can only proceed through the annihilation mechanism, which in the factorized limit give zero amplitude due to current conservation. In this paper, we identify the dominating non-factorizable (colour suppressed) contributions in terms of two chiral loop contributions and one soft gluon emission contribution. The latter contribution can be calculated in terms of the (lowest dimension) gluon condensate within a recently developed heavy-light chiral quark model. We find braching ratios BR(B^0 --> D_s^+ D_s^-) = 7*10^-5 and BR(B^0_s --> D^+ D^-) = 1*10^-3.