  QCD and QED exhibit an infinite set of three-point Green's functions that
contain only 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^{PC}={1,3,5 ...}^{-+} 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 ...}^{-+} exotic current to create eta pi0 only comes from OZI
rule violating contributions under certain conditions, and is subleading in
N_c.
