Semi-leptonic Production of $D_{sJ}(3040)$ and $D_J(3000)$ in $B_s$ and $B$ Decays

Abstract

In this paper, we study the productions of the newly detected states $D_{sJ}(3040)$ and $D_J(3000)$ observed by BABAR Collaboration and LHCb Collaboration. We assume these states to be the $D_s(2P)$ and $D(2P)$ states with the quantum number $J^P=1^{+}$ in our work. The results of improved Bethe-Salpeter method indicate that the semi-leptonic decays via $B_s$ and $B$ into $D_{sJ}(3040)$ and $D_J(3000)$ have considerable branching ratios, for example, Br(${\bar{B}}_s^0\to D{}_{sJ}^{+}(3040)e^{-}\bar{\nu }{}_e$)=$5.79\times 10^{-4}$, Br(${\bar{B}}^0\to D_J^{+}(3000)e^{-}\bar{\nu }{}_e$)=$2.63\times 10^{-4}$, which shows that these semi-leptonic decays can be accessible in experiments.

Comments: 17 pages, 4 figures