On the Mixing Amplitude of J/psi and Vector Glueball O

Abstract

We study the mixing angle θ_{Oψ} and mixing amplitude f_{Oψ} of J/psi and vector glueball O, in the framework of potential models of heavy quarks and constituent gluons. While the state vectors of J/psi and O are constructed from the wave functions of few-body Schroedinger equations, the mixing dynamics is governed by perturbative QCD. We obtain a value of the mixing angle of |\tan θ_{Oψ}| \approx 0.015 and the mixing amplitude of |f_{Oψ}(m_{Oψ}^2)| \approx 0.008 GeV^2, which is compatible with phenomenological analysis.