Investigation of the $D^{\ast}_{s}D_{s} \eta^{(\prime)}$ and $B^{\ast}_{s}B_{s} \eta^{(\prime)}$ vertices via QCD sum rules

TL;DR

This paper calculates the strong coupling constants of specific meson vertices involving $ ext{D}_s^{ ext{*}}$, $ ext{B}_s^{ ext{*}}$, $ ext{D}_s$, $ ext{B}_s$, and $ ext{$oldsymbol{ exteta}$}( ext{ extprime})$ mesons using QCD sum rules, providing predictions for future experimental verification.

Contribution

The study introduces new calculations of meson vertex coupling constants using QCD sum rules, focusing on $ ext{D}_s^{ ext{*}} ext{D}_s ext{$oldsymbol{ exteta}$}( ext{ extprime})$ and $ ext{B}_s^{ ext{*}} ext{B}_s ext{$oldsymbol{ exteta}$}( ext{ extprime})$ vertices, which had not been previously evaluated.

Findings

Calculated coupling constants with uncertainties for each vertex.

Provided numerical results: $g_{D_s^*D_s exteta}=(1.46\u00b10.30)GeV^{-1}$, $g_{D_s^*D_s exteta^{ extprime}}=(0.74\u00b10.16)GeV^{-1}$, $g_{B_s^*B_s exteta}=(5.29\u00b11.06)GeV^{-1}$, $g_{B_s^*B_s exteta^{ extprime}}=(2.29\u00b10.48)GeV^{-1}$.

Abstract

The strong coupling constants among mesons are very important quantities as they can provide useful information on the nature of strong interaction among hadrons as well as the QCD vacuum. In this article, we investigate the strong vertices of the $D^{\ast}_{s}D_{s} \eta^{(\prime)}$ and $B^{\ast}_{s}B_{s} \eta^{(\prime)}$ in the framework of the QCD sum rule approach choosing the $\eta$ or $D_{s} (B_{s})$ meson as an off-shell state. We obtain the results $g_{D_s^*D_s\eta}=(1.46\pm 0.30)GeV^{-1}$, $g_{D_s^*D_s\eta^{\prime}}=(0.74\pm 0.16)GeV^{-1}$, $g_{B_s^*B_s\eta}=(5.29\pm 1.06)GeV^{-1}$ and $g_{B_s^*B_s\eta^{\prime}}=(2.29\pm 0.48)GeV^{-1}$ for the strong coupling constants under consideration, which can be checked in future experiments.