The $η$ and $η^\prime$ mesons from Lattice QCD

Details The $η$ and $η^\prime$ mesons from Lattice QCD The $η$ and $η^\prime$ mesons from Lattice QCD

2010-02-16

arxiv.org/abs/1002.2999v2

Phys.Rev.Lett.105:241601,2010

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.105.241601

The large mass of the ninth pseudoscalar meson, the $\eta^\prime$, is believed to arise from the combined effects of the axial anomaly and the gauge field topology present in QCD. We report a realistic, 2+1 flavor, lattice QCD calculation of the $\eta$ and $\eta^\prime$ masses and mixing which confirms this picture. The physical eigenstates show small octet-singlet mixing with a mixing angle of $\theta = -14.1(2.8)^\circ$. Extrapolation to physical light quark mass gives, with statistical errors only, $m_\eta=573(6)$ MeV and $m_{\eta^\prime}=947(142)$ MeV, consistent with the experimental values of 548 MeV and 958 MeV.

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