$D_{sJ}(2860)$ From The Semileptonic Decays Of $B_s$ Mesons

Long-Fei Gan, Jian-Rong Zhang, Ming-Qiu Huang, Hong-Bin Zhuo, Yan-Yun Ma, Qing-Jun Zhu, Jian-Xun Liu, Guo-Bo Zhang

Published 2014-12-26Version 1

In the framework of the heavy quark effective theory, the leading order Isgur-Wise form factors relevant to semileptonic decays of the ground $\bar{b}s$ meson $B_{s}$ into the orbitally excited $D$-wave $\bar{c}s$ mesons, including the newly observed narrow $D^{*}_{s1}(2860)$ and $D^{*}_{s3}(2860)$ states by the LHCb Collaboration, are calculated with the QCD sum rule method. With these universal form factors, the decay rates and branching ratios are estimated. We find that the decay widths are $\Gamma_{B_s\rightarrow D^{*}_{s1}\ell\overline{\nu}} =(3.2\pm 1.1)\times10^{-19} \mbox{GeV}$, $\Gamma_{B_s\rightarrow D^{'}_{s2}\ell\overline{\nu}} =(3.8\pm 1.3)\times10^{-19} \mbox{GeV}$, $\Gamma_{B_s\rightarrow D_{s2}\ell\overline{\nu}} =(4.9\pm 1.4)\times10^{-17} \mbox{GeV}$, and $\Gamma_{B_s\rightarrow D^{*}_{s3}\ell\overline{\nu}} =(1.6\pm 0.5)\times10^{-16} \mbox{GeV}$. The corresponding branching ratios are $\mathcal {B}(B_s\rightarrow D^{*}_{s1}\ell\overline{\nu}) =(7.3\pm 2.5)\times 10^{-6}$, $\mathcal {B}(B_s\rightarrow D^{'}_{s2}\ell\overline{\nu}) =(8.7\pm 3.0)\times10^{-6}$, $\mathcal {B}(B_{s}\rightarrow D_{s2}\ell\overline{\nu}) =(1.1\pm 0.3)\times10^{-4}$, and $\mathcal {B}(B_s\rightarrow D^{*}_{s3}\ell\overline{\nu}) =(3.7\pm 1.1)\times10^{-4}$. The decay widths and branching ratios of relative $B^{*}_{s}$ semileptonic processes are also predicted.