The nonleptonic decays Bc->Ds antiD0 and Bc->Ds D0 in a relativistic quark model

In the wake of exploring CP-violation in the decays of B and Bc mesons, we perform the straightforward calculation of their nonleptonic decay rates within a relativistic quark model. We confirm that the decays Bc->Ds antiD0 and Bc->Ds D0 are well suited to extract the Cabibbo-Kobayashi-Maskawa angle \gamma through the amplitude relations because their decay widths are the same order of magnitude. In the b-c sector the decays B->D K and Bc->DD lead to squashed triangles which are therefore not so useful to determine the angle experimentally. We also determine the rates for other nonleptonic Bc-decays and compare our results with the results of other studies.