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We use QCD sum-rules to predict ground state masses for pseudoscalar($J^{PC}=0^{-+}$) charmonium and bottomonium hybrids. We find that theinclusion of a six-dimensional gluon condensate contribution is needed tostabilize the analyses. For the charmonium hybrid, we find a mass of$(3.82\pm0.13)$ GeV; for the bottomonium hybrid, we find a mass of$(10.64\pm0.19)$ GeV. We comment on possible phenomenological implicationsconcerning the Y(3940).

A Laplace Sum-Rules Analysis of Heavy Pseudoscalar ($J^{PC}=0^{-+}$) Hybrids