Phenomenology of Dilaton in a Chiral Linear Sigma Model with Vector Mesons

TL;DR

This paper explores the properties of scalar mesons below 2 GeV within a chiral linear sigma model extended by a dilaton, identifying the nature of specific resonances and calculating the gluon condensate.

Contribution

It introduces a dilaton-extended linear sigma model to analyze scalar mesons and clarifies the quark and glueball composition of key resonances.

Findings

f0(1370) is mainly a quark-antiquark state

f0(1500) is mainly a glueball

Gluon condensate value agrees with lattice QCD

Abstract

In the framework of the $U(2)_{R}\times U(2)_{L}$ symmetric linear sigma model with (axial)vector mesons generalized by including a dilaton field we study the phenomenology of the scalar-isoscalar resonances below 2 GeV. It turns out that, in our favoured scenario, the resonance $f_{0}(1370)$ is predominantly a $\bar{q}q$ state and $f_{0}(1500)$ is predominantly a glueball state. Additionally we are able to calculate the value of the gluon condensate, which is in agreement with lattice QCD results.