Quarkonium and glueball admixtures of the scalar-isoscalar resonances f0(1370), f0(1500) and f0(1710)

TL;DR

This paper employs an extended Linear Sigma Model to analyze the composition of scalar-isoscalar resonances, suggesting f0(1370) and f0(1500) are mainly quark-antiquark states while f0(1710) is predominantly a scalar glueball.

Contribution

It introduces a model-based analysis of scalar mesons' quark and glueball admixtures using only mass data, providing insights into their dominant compositions.

Findings

f0(1370) is mainly a nonstrange quark-antiquark state

f0(1500) is mainly a strange quark-antiquark state

f0(1710) is mainly a scalar glueball

Abstract

Using the U(3)R x U(3)L extended Linear Sigma Model with the ordinary (pseudo)scalar and (axial)vector mesons as well as a scalar glueball, we study the vacuum phenomenology of the scalar-isoscalar resonances f0(1370), f0(1500) and f0(1710). We present here a solution, based only on the masses and not yet on decays, in which the resonances f0(1370) and f0(1500) are predominantly nonstrange and strange qbar-q states respectively, and the resonance f0(1710) is predominantly a scalar glueball.