The masses of the \(0^{++}\) and \(0^{-+}\) light-quark hybrids using QCD sum rules

We calculate the masses of the light-quark hybrid mesons with the quantum numbers \(0^{++}\) and \(0^{-+}\) by using the QCD sum rules. Two kinds of interpolated currents with the same quantum numbers are employed. We find that approximately equal masses are predicted for the \(0^{-+}\) hybrid state using the different currents, and different masses are obtained for the \(0^{++}\) hybrid state using the different currents. The prediction depends on the interaction between the gluon and the quarks in the low-lying hybrid mesons. The mixing effect on the mass of the light-quark hybrid mesons through the low-energy theorem has also been examined, and it is found that this mixing shifts the masses of the hybrid mesons and the glueball a little.