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F. Butler

Publications and source records attributed to F. Butler.

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Hadron Masses from the Valence Approximation to Lattice QCD

We evaluate pseudoscalar, vector, spin 1/2 and spin 3/2 baryon masses predicted by lattice QCD with Wilson quarks in the valence (quenched) approximation for a range of different values of lattice spacing, lattice volume and quark mass. Extrapolating these results to physical quark mass, then to zero lattice spacing and infinite volume we obtain values for eight mass ratios. We also determine the zero lattice spacing, infinite volume limit of an alternate set of five quantities found without extrapolation in quark mass. Both sets of predictions differ from the corresponding observed values by amounts consistent with the predicted quantities' statistical uncertainties.

hep-lat

Meson Decay Constants from the Valence Approximation to Lattice QCD

We evaluate $f_π/ m_ρ$, $f_K/ m_ρ$, $1/f_ρ$, and $ m_ϕ/(f_ϕ m_ρ)$, extrapolated to physical quark mass, zero lattice spacing and infinite volume, for lattice QCD with Wilson quarks in the valence (quenched) approximation. The predicted ratios differ from experiment by amounts ranging from 12\% to 17\% equivalent to between 0.9 and 2.8 times the corresponding statistical uncertainties.

hep-lat

Meson Decay Constant Predictions of the Valence Approximation to Lattice QCD

We evaluate $f_π/ m_ρ$, $f_K/ m_ρ$, $1/f_ρ$, and $ m_ϕ/(f_ϕ m_ρ)$, extrapolated to physical quark mass, zero lattice spacing and infinite volume, for lattice QCD with Wilson quarks in the valence (quenched) approximation. The predicted $m_ϕ/(f_ϕ m_ρ)$ differs from experiment by less than its statistical uncertainty of approximately 15\%. The other three constants are 10\% to 20\% below experiment, equivalent to between one and two times the corresponding statistical uncertainties.

hep-lat