The Glueball in a Chiral Linear Sigma Model with Vector Mesons

TL;DR

This paper develops a chiral linear sigma model including vector mesons and a glueball to analyze scalar mesons, finding f0(1370) as mainly quark-antiquark and f0(1500) as mainly a glueball, consistent with experimental data.

Contribution

It introduces a two-flavour linear sigma model with vector mesons and a glueball, providing a new framework to distinguish scalar meson compositions.

Findings

f0(1370) is predominantly a ar;q state

f0(1500) is predominantly a glueball

The model accurately describes decay widths and phenomenology

Abstract

We present a two-flavour linear sigma model with global chiral symmetry and (axial-)vector mesons as well as an additional glueball degree of freedom. We study the structure of the well-established scalar resonances f0(1370) and f0(1500): by a fit to experimentally known decay widths we find that f0(1370) is predominantly a \bar{q}q state and f0(1500) is predominantly a glueball state. The overall phenomenology of these two resonances can be well described. Other assignments for our mixed quarkonium-glueball states are also tested, but turn out to be in worse agreement with the phenomenology. As a by-product of our analysis, the gluon condensate is determined.