Vector and Scalar Mesons' Mixing from QCD Sum Rules

Abstract

We study $\bar{q}q$-hybrid mixing for the light vector mesons and $\bar{q}q$-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 $\bar{q}{\gamma }_{\mu }q$ (scalar $\bar{q}q$) current and a hybrid (glueball) 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.

Comments: 18 pages, 7 figures