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Calculation of the pi(+)Sigma(+) and pi(+)Xi(0) Scattering Lengths in Lattice QCD

Author:
Torok, Aaron  


Journal:
12TH INTERNATIONAL CONFERENCE ON MESON-NUCLEON PHYSICS AND THE STRUCTURE OF THE NUCLEON (MENU 2010)


Issue Date:
2011


Abstract(summary):

The pi(+)Sigma(+) and pi(+)Xi(0) scattering lengths were calculated in mixed-action Lattice QCD with domain-wall valence quarks on the asqtad-improved coarse MILC configurations at four light-quark masses, and at two light-quark masses on the fine MILC configurations. Heavy Baryon Chiral Perturbation Theory with two and three flavors of light quarks was used to perform the chiral extrapolations. To NNLO in the three-flavor chiral expansion, the kaon-baryon processes that were investigated show no signs of convergence. Using the two-flavor chiral expansion for extrapolation, the pion-hyperon scattering lengths are found to be a(pi+Sigma+) = -0.197+0.017 fm, and a(pi+Xi 0) = -0.098+0.017 fm, where the comprehensive error includes statistical and systematic uncertainties.


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