An estimate of the eta and eta-prime meson masses in Nf=2+1 lattice QCD

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Masses of the η and η ′ mesons are estimated in N f = 2 + 1 lattice QCD with the non- perturbatively O(a) improved Wilson quark action and the Iwasaki RG-improved gluon action, using CP-PACS/JLQCD configurations on a 163 × 32 lattice at β = 1.83 (lattice spacing is 0.122 fm). We apply a stochastic noise estimator technique combined with smearing method to evaluate correlators among flavor SU(2) singlet pseudoscalar operators and strange pseudoscalar operators for 10 combinations of up/down and strange quark masses. The correlator matrix is then diago- nalized to identify signals for mass eigenstates. Masses of the ground state and the first excited state extrapolated to the physical point are mη = 0.545(16) GeV and mη ′ = 0.871(46) GeV, being close to the experimental values of the η and η ′ masses.

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