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.

Categories: hep-ph

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