Modelling the Off-Shell Dependence of ${\pi }^o-\eta$ 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.

Comments: 17 pages, LaTeX, (2 figures, not included), LA-UR-92-2910