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.

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