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

Abstract

Inspired by the newly observed $D^{(\ast )}(3000)$, and $D_{sJ}(3040)$ states, in this work we study the production of $D^{(\ast )}(3000)$, $D_{sJ}(3040)$ 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.

Comments: 12 pages, 1 figure, and 6 tables. More discussions added. Accepted by Phys. Rev. D