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

Abstract

In this article, we assign the $D_{s3}^{\ast }(2860)$ to be a D-wave $c\bar{s}$ meson, study the hadronic coupling constants $G_{D_{s3}^{\ast }(2860)DK}$ and $G_{D_{s3}^{\ast }(2860)D^{\ast }K}$ with the three-point QCD sum rules, and calculate the partial decay widths $\Gamma \left(D_{s3}^{\ast }(2860)\to D^{\ast }K\right)$ and $\Gamma \left(D_{s3}^{\ast }(2860)\to DK\right)$. The predicted ratio $R=\Gamma \left(D_{s3}^{\ast }(2860)\to D^{\ast }K\right)/\Gamma \left(D_{s3}^{\ast }(2860)\to DK\right)=0.57\pm 0.38$ cannot reproduce the experimental value $R=\mathrm{Br}\left(D_{sJ}^{\ast }(2860)\to D^{\ast }K\right)/\mathrm{Br}\left(D_{sJ}^{\ast }(2860)\to DK\right)=1.10\pm 0.15\pm 0.19$.

Comments: 18 pages, 6 figures