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

TL;DR

This paper investigates the mixing between J/psi and a vector glueball using potential models and perturbative QCD, providing quantitative estimates of the mixing angle and amplitude.

Contribution

It offers a novel calculation of the J/psi and vector glueball mixing parameters within a combined potential model and perturbative QCD framework.

Findings

Mixing angle | an heta_{Oeta}| oughly 0.015

Mixing amplitude |f_{Oeta}(m_{Oeta}^2)| oughly 0.008 GeV^2

Results align with phenomenological analyses

Abstract

We study the mixing angle \theta_{O\psi} and mixing amplitude f_{O\psi} 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 \theta_{O\psi}| \approx 0.015 and the mixing amplitude of |f_{O\psi}(m_{O\psi}^2)| \approx 0.008 GeV^2, which is compatible with phenomenological analysis.