Analysis of the light $J^P = 3^-$ mesons in QCD sum rules

TL;DR

This paper uses QCD sum rules to analyze the masses and decay constants of light $J^P=3^-$ mesons, accounting for $SU(3)$ symmetry breaking, and finds good agreement with experimental data.

Contribution

It provides new QCD sum rule calculations for light $J^P=3^-$ mesons including $SU(3)$ violation effects, aligning theoretical predictions with experiments.

Findings

Predicted meson masses agree with experimental data.

Decay constants are calculated within the QCD sum rules framework.

$SU(3)$ violation effects are significant in the analysis.

Abstract

In this study, we investigate the masses and decay constants of the light mesons with $J^P = 3^-$ ( $\rho_3, \omega_3, K_3, \phi_3$) within the QCD sum rules method by taking into account $SU(3)$ violation effects. We state that our predictions on masses of the considered mesons are in good agreement with experimental data within the precision of the model.