State mixing and masses of the π⁰, η and η′ mesons from nf = 1 + 1 + 1 lattice QCD+QED

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2021

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Kordov, Z.R.
Horsley, R.
Kamleh, W.
Koumi, Z.
Nakamura, Y.
Perlt, H.
Rakow, P.E.L.
Schierholz, G.
Stüben, H.
Young, R.D.

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Physical Review D, 2021; 104(11):1-9

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Z. R. Kordov, R. Horsley, W. Kamleh, Z. Koumi, Y. Nakamura, H. Perlt ... et al.

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Abstract

We present a lattice analysis of the light pseudoscalar mesons with consideration for the mixing between the flavor-neutral states π0, η and η0. We extract the masses and flavor compositions of the pseudoscalar meson nonet in nf ¼ 1 þ 1 þ 1 lattice QCD þ QED around an SU(3)-flavor symmetric point, and observe flavor-symmetry features of the extracted data, along with preliminary extrapolation results for the flavor compositions at the physical point. A key result of this work is the observed mass splitting between the π0 and η on our ensembles, which is found to exhibit behavior that is simply related to the corresponding flavor compositions.

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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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