η and η' mixing from lattice QCD.
We present a lattice QCD computation of η and η' masses and mixing angles, for the first time controlling continuum and quark mass extrapolations. The results for M(η) = 551(8)(stat) (6)(yst) MeV and M(η') = 1006(54)(stat)(38)(syst)(+61)(ex) MeV are in excellent agreement with experiment. Our data show that the mixing in the quark flavor basis can be described by a single mixing angle of Ø = 46(1)(stat)(3)(syst)° indicating that the η' is mainly a flavor singlet state.
Department of Mathematical Sciences, Theoretical Physics Division, The University of Liverpool, Liverpool L69 3BX, United Kingdom.
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Michael
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Ottnad
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Urbach