Analysis of the strong decays D_s3 ^*(2860) $\rightarrow$ DK, D^*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 $\Gamma (D_{s3}^{\ast} (2860) \rightarrow D^{\ast}K)$ and $\Gamma (D_{s3}^{\ast}(2860) \rightarrow DK)$ . The predicted ratio $R = \Gamma (D_{s3}^{\ast} (2860)\rightarrow D^{\ast}K)/\Gamma (D_{s3}^{\ast} (2860)\rightarrow DK) = 0.57\pm 0.38$ cannot reproduce the experimental value $R = Br(D_{sJ}^{\ast} (2860)\rightarrow D^{\ast}K)/Br (D_{sJ}^{\ast} (2860)\rightarrow DK) = 1.10 \pm 0.15 \pm 0.19$.