Non-leptonic decays of the Bc into tensor mesons

We have computed the branching ratios of the exclusive pseudoscalar (vector) + tensor modes that are allowed in the decays of the B-C meson. The dominant spectator and annihilation contributions in those decays are evaluated using the factorization hypothesis. We find that some of these decay channels, such as B-c(- -->) (rho(-), D-s(*-), D-s(-))chi(c2) and B-c(-) --> pi-<(B(s2)(*0))over bar>, have branching ratios of the order of 10-4, which seems to be within the reach of forthcoming experiments at the LHC. The inclusive branching fraction of the two-body B-c decays involving tensor particles is approximately 1.28 x 10(-3). At the dynamical level, it is interesting to observe that the exclusive decays B-c(-) --> K-(pi(-))<(D-2(*0))over bar>, pi(0)D(2)(*-), eta'D-s2(*-) dominated by the annihilation contributions.