On the Mixed Propagator Approach to $ρ-ω$ Mixing

Abstract

Mixed Propagator (MP) approach to $ρ-ω$ mixing is discussed. It is found that under the pole-approximation assumption the results of MP approach is not compatible both with the effective Lagrangian theory and with the experiment measurement criterion. To overcome these inconsistent, we propose a new MP approach in which the physical states of $ρ$ and $ω$ are determined by the requirement of experimental measurement to meson resonance. In terms of this new MP approach, the EM pion form factor $F_π$ and form factors of $ρ^0 \to π^0 γ$ and of $ω\to π^0 γ$ are derived. The results of $F_π$ are in good agreement with data. The form factor of $ρ^0 \to π^0 γ$ exhibits a hidden charge-asymmetry enhancement effect which agree with the prediction of the effective Lagrangian theory.