Numerical analysis of the production of $D^{(*)}(3000)$, $D_{sJ}(3040)$ and their partners through the semileptonic decays of $B_{(s)}$ mesons in terms of the light front quark model

Inspired by the newly observed $D^{(*)}(3000)$ and $D_{sJ}(3040)$ states, in this work we study the production of $D^{(*)}(3000)$, $D_{sJ}(3040)$, and their partners through the semileptonic decays of $B_{(s)}$ mesons, where the light-front quark model is applied to the whole calculation. Our numerical results indicate that the $B_{(s)}$ semileptonic decays into the $2P$ states of the charmed or charmed-strange meson family have considerable branching ratios, which shows that these semileptonic decays can be accessible at future experiments, especially LHCb and the forthcoming Belle II.

Figure 1

The Feynman diagram for the $B_{(s)}\to D_{(s)J}$ transition. The red point denotes the $V-A$ current vertex, while the $b$ and $c$ quark lines are blue and green, respectively.