Contact interaction model for the ? and?0 mesons in a Schwinger-Dyson-Bethe-Salpeter approach to QCD: Masses, decay widths, and transition form factors

We construct a contact interaction model for the & eta; and & eta;0 mesons in the SDE-BSE approach to QCD and compute several static properties of these mesons and their transition form factors. We find that this model gives an excellent description of the & eta; and & eta;0 static properties, namely, their masses, decay width, and decay constants. However, a contact interaction disagrees with experimental data for Q2 greater than 2 GeV2, and produces transition form factors in conflict with perturbative QCD prediction. This is not surprising and the reasons for this are explained.

Automated summary

The researchers constructed a contact interaction model for eta and eta' mesons and calculated their static properties and transition form factors. The model provided an excellent description of the static properties, but disagreed with experimental data and perturbative QCD prediction for the transition form factors at high momentum.