eta and eta' Mesons from Lattice QCD

Journal Article · Wed Dec 08 00:00:00 EST 2010 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.105.241601· OSTI ID:1019484

Christ, N H; Izubuchi, T; Dawson, C; Jung, C; Liu, Q; Mawhinney, R D; Sachrajda, C T; Soni, A; Zhou, R

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

• Research Organization: Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN Research Center
• Sponsoring Organization: DOE - OFFICE OF SCIENCE
• DOE Contract Number: DE-AC02-98CH10886
• OSTI ID: 1019484
• Report Number(s): BNL-95015-2011-JA; PRLTAO; R&D Project: PO-3; TRN: US1103640
• Journal Information: Physical Review Letters, Vol. 105, Issue 24; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EIGENSTATES
EXTRAPOLATION
MESONS
PSEUDOSCALAR MESONS
QUANTUM CHROMODYNAMICS
QUARKS
TOPOLOGY
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