Meson and glueball spectroscopy within the graviton soft wall model

TL;DR

The paper extends the graviton soft wall model to accurately predict the spectra of various mesons and glueballs, matching experimental data with minimal parameters and incorporating chiral symmetry considerations.

Contribution

It demonstrates that the GSW model can describe a wide range of hadron spectra with high accuracy and few parameters, including modifications for chiral symmetry.

Findings

Reproduces Regge trajectories of glueballs with various spins.

Accurately predicts meson spectra including $ ho$, $a_1$, $ ext{and}\, ext{eta}$ mesons.

Achieves these results without additional parameters beyond those fixed by scalar meson and glueball spectra.

Abstract

The graviton soft wall model (GSW) provides a unified description of the scalar glueball and meson spectra with a unique energy scale. This success has led us to extend the analysis to the description of the spectra of other hadrons. We use this model to calculate masses of the odd and even ground states of glueballs for various spins, and show that the GSW model is able to reproduce the Regge trajectory of these systems. In addition, the spectra of the $\rho$, $a_1$ and the $\eta$ mesons will be addressed. Results are in excellent agreement with current experimental data.Furthermore such an achievement is obtained without any additional parameters. Indeed, the only two parameters appearing in these spectra are those that were previously fixed by the light scalar meson and glueball spectra. Finally, in order to describe the $\pi$ meson spectrum, a suitable modification of the dilaton profile function has been included in the analysis to properly take into account the Goldstone realization of chiral symmetry. The present investigation confirms that the GSW model provides an excellent description of the spectra of mesons and glueballs with only a small number of parameters unveiling a relevant predicting power.