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

TL;DR

This paper investigates the semi-leptonic production of the recently observed $D_{sJ}(3040)$ and $D_J(3000)$ states in $B_s$ and $B$ decays, predicting significant branching ratios that are experimentally accessible.

Contribution

The study models these states as $D_s(2P)$ and $D(2P)$ with $J^P=1^+$, providing improved Bethe-Salpeter calculations of their production rates in semi-leptonic decays.

Findings

Branching ratios are around 10^{-4} for key decay channels.

Semi-leptonic decays into these states are experimentally feasible.

Results support the identification of these states as $2P$ excitations.

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($\bar{B}_s^0 \rightarrow D{_{sJ}^+}(3040)e^-\bar{\nu}{_e}$)=$5.79\times10^{-4}$, Br($\bar{B}^0\rightarrow D_{J}^+(3000)e^-\bar{\nu}{_e}$)=$2.63\times10^{-4}$, which shows that these semi-leptonic decays can be accessible in experiments.