On the mixing amplitude of [formula omitted] and vector glueball O

Abstract

We study the mixing angle θ Oψ and mixing amplitude f Oψ of J ψ and vector glueball O based on the framework of potential models of heavy quarks and constituent gluons. While the state vectors of J ψ and O are constructed from the wave functions of fewbody Schroedinger equations, the mixing dynamics is governed by perturbative QCD. We obtain a value of the mixing angle of |tan θ Oψ | ≈ 0.015 and the mixing amplitude of | f Oψ ( m Oψ 2)| ≈ 0.008 GeV 2. Within our approximation scheme, this result is comparable with phenomenological analysis.