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- W2007206384 abstract "The volume dependence of the octet baryon masses and relations among them are explored with Lattice QCD. Calculations are performed with ${n}_{f}=2+1$ clover fermion discretization in four lattice volumes, with spatial extent $Lensuremath{sim}2.0$, 2.5, 3.0 and 3.9 fm, with an anisotropic lattice spacing of ${b}_{s}ensuremath{sim}0.123text{ }text{ }mathrm{fm}$ in the spatial direction, and ${b}_{t}={b}_{s}/3.5$ in the time direction, and at a pion mass of ${m}_{ensuremath{pi}}ensuremath{sim}390text{ }text{ }mathrm{MeV}$. The typical precision of the ground-state baryon mass determination is $ensuremath{lesssim}0.2%$, enabling a precise exploration of the volume dependence of the masses, the Gell-Mann--Okubo mass relation, and of other mass combinations. A comparison of the volume dependence with the predictions of heavy baryon chiral perturbation theory is performed in both the $mathrm{SU}(2{)}_{L}ensuremath{bigotimes}mathrm{SU}(2{)}_{R}$ and $mathrm{SU}(3{)}_{L}ensuremath{bigotimes}mathrm{SU}(3{)}_{R}$ expansions. Predictions of the three-flavor expansion for the hadron masses are found to describe the observed volume dependences reasonably well. Further, the $ensuremath{Delta}Nensuremath{pi}$ axial coupling constant is extracted from the volume dependence of the nucleon mass in the two-flavor expansion, with only small modifications in the three-flavor expansion from the inclusion of kaons and $ensuremath{eta}$'s. At a given value of ${m}_{ensuremath{pi}}L$, the finite-volume contributions to the nucleon mass are predicted to be significantly smaller at ${m}_{ensuremath{pi}}ensuremath{sim}140text{ }text{ }mathrm{MeV}$ than at ${m}_{ensuremath{pi}}ensuremath{sim}390text{ }text{ }mathrm{MeV}$ due to a coefficient that scales as $ensuremath{sim}{m}_{ensuremath{pi}}^{3}$. This is relevant for the design of future ensembles of lattice gauge-field configurations. Finally, the volume dependence of the pion and kaon masses are analyzed with two-flavor and three-flavor chiral perturbation theory." @default.
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- W2007206384 date "2011-07-25" @default.
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- W2007206384 title "High statistics analysis using anisotropic clover lattices: IV. Volume dependence of light hadron masses" @default.
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- W2007206384 doi "https://doi.org/10.1103/physrevd.84.014507" @default.
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