Analysis of the $D_{s3}^{\ast }(2860)$ as a D-wave $c\bar{s}$ meson with QCD sum rules

Abstract

In this article, we assign the $D_{s3}^{\ast }(2860)$ to be a D-wave $c\bar{s}$ meson, and study the mass and decay constant of the $D_{s3}^{\ast }(2860)$ with the QCD sum rules by calculating the contributions of the vacuum condensates up to dimension-6 in the operator product expansion. The predicted mass $M_{D_{s3}^{\ast }}=(2.86\pm 0.10)\mathrm{GeV}$ is in excellent agreement with the experimental value $M_{D_{s3}^{\ast }}=(2860.5\pm 2.6\pm 2.5\pm 6.0)\mathrm{MeV}$ from the LHCb collaboration. The present prediction supports assigning the $D_{s3}^{\ast }(2860)$ to be the D-wave $c\bar{s}$ meson.

Comments: 14 pages, 20 figures