{eta} and {eta}{sup '} Mesons from Lattice QCD

Journal Article · Fri Dec 10 00:00:00 EST 2010 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.105.241601· OSTI ID:21554458

Christ, N H; Liu, Q; Mawhinney, R D ^[1]; Dawson, C ^[2]; Izubuchi, T ^[3]; Jung, C; Soni, A ^[3]; Sachrajda, C T ^[4]; Zhou, R ^[5]

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1. Physics Department, Columbia University, New York, New York 10027 (United States)
2. Department of Physics, University of Virginia, 382 McCormick Road, Charlottesville, Virginia 22904-4714 (United States)
3. Brookhaven National Laboratory, Upton, New York 11973 (United States)
4. School of Physics and Astronomy, University of Southampton, Southampton SO17 1BJ (United Kingdom)
5. Physics Department, University of Connecticut, Storrs, Connecticut 06269-3046 (United States)

The large mass of the ninth pseudoscalar meson, the {eta}{sup '}, 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}{sup '} 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) deg. Extrapolation to the physical light quark mass gives, with statistical errors only, m{sub {eta}}=573(6) MeV and m{sub {eta}{sup '}}=947(142) MeV, consistent with the experimental values of 548 and 958 MeV.

• OSTI ID: 21554458
• Journal Information: Physical Review Letters, Vol. 105, Issue 24; Other Information: DOI: 10.1103/PhysRevLett.105.241601; (c) 2010 American Institute of Physics; ISSN 0031-9007
• Country of Publication: United States
• Language: English

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