Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2009-01-21
Phys.Rev.D81:014503,2010
Physics
High Energy Physics
High Energy Physics - Lattice
4 pages, 2 figures, pdftex. v2: uncertainties from inputs quantified; small m_pi*L ensemble removed from analysis
Scientific paper
10.1103/PhysRevD.81.014503
We report an analysis of the impressive new lattice simulation results for octet baryon masses in 2+1-flavor QCD. The analysis is based on a low order expansion about the chiral SU(3) limit in which the symmetry breaking arises from terms linear in the quark masses plus the variation of the Goldstone boson masses in the leading chiral loops. The baryon masses evaluated at the physical light quark masses are in remarkable agreement with the experimental values, with a model dependence considerably smaller than the rather small statistical uncertainty. From the mass formulae one can evaluate the sigma commutators for all octet baryons. This yields an accurate value for the pion-nucleon sigma commutator. It also yields the first determination of the strangeness sigma term based on 2+1-flavor lattice QCD and, in general, the sigma commutators provide a resolution to the difficult issue of fine-tuning the strange quark mass.
Thomas Anthony W.
Young Richard D.
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