Modelling the Off-Shell Dependence of $π^{o}- η$ Mixing with Quark Loops

Abstract
It is shown that including form factors for the quark-pseudoscalar meson couplings of the Georgi-Manohar chiral quark model allows one to obtain the leading off-shell dependence of $\pi^{o}- \eta$ mixing (as predicted by chiral perturbation theory) from the effect of quark loops on the meson propagators. Implications for $\rho^{o} - \omega$ mixing and for the effects on meson mixing contributions to few body charge symmetry breaking observables are also discussed.

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