Form factors of $\eta_c$ in light front quark model

TL;DR

This paper investigates the form factors of the $ta_c$ meson using a light-front quark model, demonstrating consistency with experimental data and calculating decay constants based on different decay widths.

Contribution

The study provides a detailed analysis of $ta_c$ form factors and decay constants within the light-front quark model, aligning theoretical predictions with experimental and lattice QCD results.

Findings

Transition form factor matches BaBar data

Decay constant estimated around 230-304 MeV

Results consistent with lattice QCD calculations

Abstract

We study the form factors of the $\eta_c$ meson in the light-front quark model. We explicitly show that the transition form factor of $\eta_c \to \gamma^* \gamma$ as a function of the momentum transfer is consistent with the experimental data by the BaBar collaboration, while the decay constant of $\eta_c$ is found to be $f_{\eta_{c}}=230.5^{+52.2}_{-61.0}$ and $303.6^{+115.2}_{-116.4}$ MeV for $\eta_c\sim c\bar{c}$ by using two $\eta_c \to \gamma \gamma$ decay widths of $5.3\pm 0.5$ and $7.2\pm2.1$ keV, given by Particle Data Group and Lattice QCD calculation, respectively.