Glueballs and Mesons: the Ground States

TL;DR

This paper estimates the lowest glueball mass at 1661 MeV using a relativistic quantum-field model with analytic confinement, and extends the analysis to mesons and decay constants, achieving results consistent with experimental data.

Contribution

It introduces a new analytic estimate of the ground state glueball mass and applies a unified model to describe mesons and glueballs with minimal parameters.

Findings

Glueball mass estimated at 1661 MeV

Model results agree with experimental data

Simultaneous description of mesons and glueballs

Abstract

We provide a new, independent, and analytic estimate of the lowest glueball mass, and we found it at 1661 MeV within a relativistic quantum-field model based on analytic confinement. The conventional mesons and the weak decay constants are described to extend the consideration. For the spectra of two-gluon and two-quark bound states we solve the ladder Bethe-Salpeter equation. By using a minimal set of model parameters (the quark masses, the coupling constant, and the confinement scale) we obtain numerical results which are in reasonable agreement with experimental evidence in the wide range of energy scale. The model serves a reasonable framework to describe simultaneously different sectors in low-energy particle physics.