Decays of B, Bs and Bc to D-wave heavy-light mesons

We study the weak decays of (B) over bar (( s)) and B-c into D-wave heavy-light mesons, including J(P) = 2(-)(D-(s)2, D'((s)2), B-(s)2, B'((s)2)) and 3-(D*((s)3), B*((s)3)) states. The weak decay hadronic matrix elements are obtained based on the instantaneous Bethe-Salpeter method. The branching ratios for the (B) over bar decays are B[(B) over bar -> D(2)e (nu) over bar (e)] = 1.1(+0.3)(-0.3) x10(-3), B[(B) over bar -> D'(2)e (nu) over bar (e)] = 4.1(+0.9)(-0.8) x 10(-4), and B[(B) over bar -> D-3*e (nu) over bar (e)] = 1.0(+0.2)(-0.2) x10(-3), respectively. For the semi-electronic decays of (B) over bar (s) to D-s2, D'(s2), and D*(s3), the corresponding branching ratios are 1.7(+0.5)(-0.5)x10(-3), 5.2(+1.6)(-1.5)x10(-4), and 1.5(+0.4)(-0.4) x10(-3), respectively. The branching ratios of the semi-electronic decays of B-c to D-wave D mesons are in the order of 10-5. We also obtained the forward-backward asymmetry, angular spectra, and lepton momentum spectra. In particular the distribution of decay widths for the 2-states D-2 and D-2' varying along with mixing angle are presented.