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

TL;DR

This paper investigates the decay properties of the $D_{s3}^*(2860)$ meson using QCD sum rules, finding that theoretical predictions do not fully match experimental decay ratios.

Contribution

The study assigns the $D_{s3}^*(2860)$ as a D-wave $c\bar{s}$ meson and calculates its decay widths, providing insights into its structure and decay mechanisms.

Findings

Predicted decay ratio $R=0.57\pm0.38$ differs from experimental $1.10\pm0.19$.

Calculated partial decay widths for $D_{s3}^*(2860)$.

QCD sum rules used to estimate hadronic coupling constants.

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 $R={\rm Br}\left(D_{sJ}^*(2860)\to D^{*}K\right)/{\rm Br}\left(D_{sJ}^*(2860)\to DK\right)=1.10 \pm 0.15 \pm 0.19$.