Decays of the $\widehat{\rho }(1^{-+})$ Exotic Hybrid and $\eta$-${\eta }^{\mathrm{\prime }}$ Mixing

QCD sum-rules are used to calculate the $\hat\rho(1^{-+})\to\pi\eta, \pi\eta’$decaywidthsoftheexotichybridintwodifferent$\eta-\eta’$ mixing schemes. In the conventional flavour octet-singlet mixing scheme, the decay widths are both found to be small, while in the recently-proposed quark mixing scheme, the decay width ${\mathrm{\Gamma }}_{\widehat{\rho }\to \eta \pi }\approx 250MeV$ is large compared with the decay width ${\mathrm{\Gamma }}_{\widehat{\rho }\to {\eta }^{\mathrm{\prime }}\pi }\approx 20MeV$. These results provide some insight into $\eta$-${\eta }^{\mathrm{\prime }}$ mixing and hybrid decay features.