Obtaining the strong coupling constants g_{J/\psi D_s D_s} and g_{\phi D_s D_s} from QCD Sum Rules

TL;DR

This paper calculates the strong coupling constants for specific meson vertices using QCD Sum Rules, providing numerical values with uncertainties for the couplings involving J/ and  mesons.

Contribution

It introduces a method to determine coupling constants of meson vertices using three-point correlation functions within the QCD Sum Rules framework.

Findings

g_{J/ D_s D_s} = 6.20^{+0.97}_{-1.15}

g_{ D_s D_s} = 1.85^{+0.22}_{-0.23}

Two different form factors obtained for each vertex.

Abstract

The form factors and coupling constants of the meson vertices J/\psi D_s D_s and \phi D_s D_s were calculated using three point correlation functions within the QCD Sum Rules formalism. We have considered the cases where \phi, D_s and J/\psi mesons are off-shell obtaining, for each vertex, two different form factors and its corresponding coupling constants, namely g_{J/\psi D_s D_s} = 6.20^{+0.97}_{-1.15} and g_{\phi D_s D_s} = 1.85^{+0.22}_{-0.23}.