Christ NH, Dawson C, Izubuchi T, Jung C, Liu Q, Mawhinney RD, Sachrajda CT, Soni A, Zhou R. η and η' mesons from lattice QCD.
PHYSICAL REVIEW LETTERS 2010;
105:241601. [PMID:
21231518 DOI:
10.1103/physrevlett.105.241601]
[Citation(s) in RCA: 9] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/24/2010] [Indexed: 05/30/2023]
Abstract
The large mass of the ninth pseudoscalar meson, the η', 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 η and η' masses and mixing which confirms this picture. The physical eigenstates show small octet-singlet mixing with a mixing angle of θ=-14.1(2.8)°. Extrapolation to the physical light quark mass gives, with statistical errors only, mη=573(6) MeV and mη'=947(142) MeV, consistent with the experimental values of 548 and 958 MeV.
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