Vector and scalar mesons’ mixing from QCD sum rules

Abstract

Abstract We study $$ \overline{q} $$ q ¯ q-hybrid mixing for the light vector mesons and $$ \overline{q} $$ q ¯ q-glueball mixing for the light scalar mesons in Monte-Carlo based QCD Laplace sum rules. By calculating the two-point correlation function of a vector $$ \overline{q} $$ q ¯ γ μ q (scalar $$ \overline{q} $$ q ¯ q) current and a hybrid (glue- ball) current we are able to estimate the mass and the decay constants of the corresponding mixed “physical state” that couples to both currents. Our results do not support strong quark/gluonic mixing for either the 1 −− or the 0++ states.