Sigma term and strangeness content of octet baryons

S. Dürr, Z. Fodor, T. Hemmert, C. Hoelbling, J. Frison, S. D. Katz, S. Krieg, T. Kurth, L. Lellouch, T. Lippert, A. Portelli, A. Ramos, A. Schäfer, K. K. Szabó

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Abstract

By using lattice QCD computations we determine the sigma terms and strangeness content of all octet baryons by means of an application of the Hellmann-Feynman theorem. In addition to polynomial and rational expressions for the quark-mass dependence of octet members, we use SU(3) covariant baryon chiral perturbation theory to perform the extrapolation to the physical up and down quark masses. Our N f=2+1 lattice ensembles include pion masses down to about 190 MeV in large volumes (M πL 4), and three values of the lattice spacing. Our main results are the nucleon sigma term σ πN=39(4)(-7+18) and the strangeness content y N=0.20(7)(-17+13). Under the assumption of validity of covariant baryon χPT in our range of masses one finds y N=0.276(77)(-62+90).

Original languageEnglish
Article number014509
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume85
Issue number1
DOIs
Publication statusPublished - Jan 26 2012
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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    Dürr, S., Fodor, Z., Hemmert, T., Hoelbling, C., Frison, J., Katz, S. D., Krieg, S., Kurth, T., Lellouch, L., Lippert, T., Portelli, A., Ramos, A., Schäfer, A., & Szabó, K. K. (2012). Sigma term and strangeness content of octet baryons. Physical Review D - Particles, Fields, Gravitation and Cosmology, 85(1), [014509]. https://doi.org/10.1103/PhysRevD.85.014509