### 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 _{π}L 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 language | English |
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Article number | 014509 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 85 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jan 26 2012 |

Externally published | Yes |

### ASJC Scopus subject areas

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

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## Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*85*(1), [014509]. https://doi.org/10.1103/PhysRevD.85.014509