Sigma terms from an SU(3) chiral extrapolation

P. E. Shanahan, A. W. Thomas, and R. D. Young
Phys. Rev. D 87, 074503 – Published 11 April 2013

Abstract

We report a new analysis of lattice simulation results for octet baryon masses in 2+1-flavor QCD, with an emphasis on a precise determination of the pion-nucleon and strangeness nucleon sigma terms. A controlled chiral extrapolation of a recent PACS-CS Collaboration data set yields baryon masses which exhibit remarkable agreement both with experimental values at the physical point and with the results of independent lattice QCD simulations at unphysical meson masses. Using the Feynman-Hellmann relation, we evaluate sigma commutators for all octet baryons. The small statistical uncertainty and considerably smaller model dependence allows a significantly more precise determination of the pion-nucleon sigma commutator and the strangeness sigma term than hitherto possible, subject to an unresolved issue concerning the lattice scale setting.

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  • Received 18 June 2012

DOI:https://doi.org/10.1103/PhysRevD.87.074503

© 2013 American Physical Society

Authors & Affiliations

P. E. Shanahan, A. W. Thomas, and R. D. Young

  • ARC Centre of Excellence in Particle Physics at the Terascale and CSSM, School of Chemistry and Physics, University of Adelaide, Adelaide, South Australia 5005, Australia

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Issue

Vol. 87, Iss. 7 — 1 April 2013

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