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

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.

Prepared for the proceedings of Excited QCD 2012, Peniche/Portugal, 6.-12. May 2012. 6 pages, 2 Tables