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Abstract
QCD and QED exhibit an infinite set of three-point Green's functions that contain only Okubo-Zweig-Iizuka (OZI) rule violating contributions, and (for QCD) are subleading in the large ${N}_{c}$ expansion. The Green's functions describe the ``decay'' of a ${J}^{\mathrm{PC}}={1,3,5,\dots{}{}}^{\ensuremath{-}+}$ exotic hybrid meson current to two $J=0$ (hybrid) meson currents with identical P and C. We prove that the QCD amplitude for a neutral hybrid ${1,3,5,\dots{}{}}^{\ensuremath{-}+}$ exotic current to create $\ensuremath{\eta}{\ensuremath{\pi}}^{0}$ only comes from OZI rule violating contributions under certain conditions, and is subleading in ${N}_{c}.$
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