Decays of the $\hatρ(1^{-+})$ Exotic Hybrid and $η$-$η'$ Mixing

Physics – High Energy Physics – High Energy Physics - Phenomenology

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latex2e, 11 pages with 4 embedded eps figures. v 2 corrects reference [5] and minor error in equation (11)

Scientific paper

10.1103/PhysRevD.65.114013

QCD sum-rules are used to calculate the $\hat\rho(1^{-+})\to\pi\eta, \pi\eta'$ decay widths of the exotic hybrid in two different $\eta-\eta'$ 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 $\Gamma_{\hat\rho\to\eta\pi}\approx 250 MeV$ is large compared with the decay width $\Gamma_{\hat\rho\to\eta^\prime\pi}\approx 20 MeV$. These results provide some insight into $\eta$-$\eta'$ mixing and hybrid decay features.

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