Testing the molecular nature of $\bm{D_{s 0}^{\ast}(2317)}$ and $\bm{D_{0}^{\ast} (2400)}$ in semileptonic $\bm{B_s}$ and $\bm{B}$ decays

Abstract

We study the semileptonic $B_s$ and $B$ decays into the $D_{s 0}^{\ast} (2317)$ 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.