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

TL;DR

This paper uses QCD sum rules to analyze the $D_{s3}^*(2860)$ meson, predicting its mass as a D-wave $car{s}$ state, aligning well with experimental data, thus supporting its classification.

Contribution

The study provides a QCD sum rule calculation of the $D_{s3}^*(2860)$ mass and decay constant, supporting its assignment as a D-wave $car{s}$ meson.

Findings

Predicted mass $M_{D_{s3}^*}=(2.86 ext{ GeV})$ matches experimental data.

Supports the classification of $D_{s3}^*(2860)$ as a D-wave $car{s}$ meson.

QCD sum rules effectively describe the properties of this meson.

Abstract

In this article, we assign the $D_{s3}^*(2860)$ to be a D-wave $c\bar{s}$ meson, and study the mass and decay constant of the $D_{s3}^*(2860)$ 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 $M_{D_{s3}^*}=(2.86\pm0.10)\,\rm{GeV}$ is in excellent agreement with the experimental value $M_{D_{s3}^*}=(2860.5\pm 2.6 \pm 2.5\pm 6.0)\,\rm{ MeV}$ from the LHCb collaboration. The present prediction supports assigning the $D_{s3}^*(2860)$ to be the D-wave $c\bar{s}$ meson.