Testing the molecular nature of ${\mathbf{D}}_{\mathbf{s}0}^{\ast }(2317)$ and ${\mathbf{D}}_0^{\ast }(2400)$ in semileptonic ${\mathbf{B}}_{\mathbf{s}}$ and $\mathbf{B}$ decays

Abstract

We study the semileptonic $B_s$ and $B$ decays into the $D_{s0}^{\ast }(2317)$ and $D_0^{\ast }(2400)$ resonances, respectively. With the help of a chiral unitarity model in coupled channels we compute the ratio of the decay widths of both processes. Using current values of the width for the ${\bar{B}}^0\to D_0^{\ast }(2400{)}^{+}{\bar{\nu }}_l{l}^{-}$ decay we make predictions for the rate of the ${\bar{B}}_s^0\to D_{s0}^{\ast }(2317{)}^{+}{\bar{\nu }}_l{l}^{-}$ decay.

Comments: 16 pages, 7 figures, new references