$D_s(0^\pm)$ Mesons spectroscopy in Gaussian Sum Rules

TL;DR

This paper uses Gaussian sum rules to calculate the masses of $D_s(0^ ext{-})$ mesons, achieving results that closely match experimental data, thereby providing a non-perturbative QCD approach to heavy-light meson spectroscopy.

Contribution

It introduces a Gaussian sum rule approach with Laplacian transformation for calculating $D_s(0^ ext{-})$ meson masses, offering improved theoretical predictions aligned with experiments.

Findings

Mass of $D_s(0^-)$ meson: 1.968 GeV

Mass of $D_s(0^+)$ meson: 2.320 GeV

Results agree with experimental data

Abstract

The masses of the $D_s(0^\pm)$ mesons are investigated from a view-point of ordinary light-heavy system in the framework of the Gaussian sum rules, which are worked out by means of the Laplacian transformation to the usual Borel sum rules. Using the standard input of QCD non-perturbative parameters, the corresponding mass spectra and couplings of the currents to the $D_s(0^\pm)$ mesons are obtained. Our results are $m_{D_s(0^-)}=1.968\pm0.016\pm0.003$ GeV and $m_{D_s(0^+)}=2.320\pm0.014\pm0.003$ GeV, which are in accordance well with the experimental data, 1.969 GeV and 2.317 GeV.