Remarks on Semileptonic B and D Decays into Orbitally Excited Mesons

Abstract

We have obtained the differential decay rate and calculated the branching ratios of the exclusive semileptonic decays $B(D)\to Xl\nu$, where $X$ is a p-wave meson, using the nonrelativistic ISGW quark model. Our results are compared with the predictions of the ISGW2 model. We have computed some branching ratios that were not reported or were reported with 0.00 in this model. For example, we find that $Br(B_c^{-}\to \overline{B_{s2}^{\ast 0}}{l}^{-}\bar{\nu })=4.03\times 10^{-5}$, $Br(B_c^{-}\to \overline{B_2^{\ast 0}}{l}^{-}\bar{\nu })=3.65\times 10^{-6}$ and $Br(D_s^{+}\to f_2{l}^{+}\nu )=2.7\times 10^{-5}$, which seems to be at the reach of forthcoming experiments. Furthermore, we have classified the $B_{u,d,s}\to Tl\nu$ decays in two groups and compared the semileptonic and nonleptonic decays including a tensor meson in the final state.

Comments: 11 pages, LaTeX