Analysis of the strong decays $D_{s3}^*(2860)\to DK$, $D^{*}K$ with QCD sum rules

Abstract: In this article, we assign the $D_{s3}^*(2860)$ to be a D-wave $c\bar{s}$ meson, study the hadronic coupling constants $G_{D_{s3}^*(2860)DK}$ and $G_{D_{s3}^*(2860)D^*K}$ with the three-point QCD sum rules, and calculate the partial decay widths $\Gamma\left(D_{s3}^*(2860)\to D^{*}K\right)$ and $\Gamma\left(D_{s3}^*(2860)\to DK\right)$. The predicted ratio $R=\Gamma\left(D_{s3}^*(2860)\to D^{}K\right)/\Gamma\left(D_{s3}^(2860)\to DK\right)=0.57\pm0.38$ cannot reproduce the experimental value $R={\rm Br}\left(D_{sJ}^*(2860)\to D^{*}K\right)/{\rm Br}\left(D_{sJ}^*(2860)\to DK\right)=1.10 \pm 0.15 \pm 0.19$.