Sigma term and strangeness content of octet baryons

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

doi:10.1103/PhysRevD.85.014509

Journal Article

Sigma term and strangeness content of octet baryons

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

2012
Soc. [S.l.]

Physical review / D 85(1), 014509 (2012) [10.1103/PhysRevD.85.014509]

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Please use a persistent id in citations: http://hdl.handle.net/2128/11140 doi:10.1103/PhysRevD.85.014509

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 Nf = 2 + 1 lattice ensembles include pion masses down to about 190 MeV in large volumes (M pi L greater than or similar to 4), and three values of the lattice spacing. Our main results are the nucleon sigma term sigma(pi N) = 39(4)((+18)(-7)) and the strangeness content y(N) = 0.20(7)((+13)(-17)). Under the assumption of validity of covariant baryon chi PT in our range of masses one finds y(N) = 0.276(77)((+90)(-62)).

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Note: Computations were performed using HPC resources from F.Z. Julich and from GENCI-[IDRIS/ CCRT] (Grant No. 52275) and clusters at Wuppertal and CPT. This work is supported in part by EU Grants No. I3HP, FP7/2007-2013/ERC, No. 208740, No. MRTN-CT-2006-035482 (FLAVIAnet), DFG Grants No. FO 502/2, SFB-TR 55, by CNRS Grant GDR No. 2921, and PICS No. 4707. The authors also thank Martin Jung for pointing out an error in the normalization of the dimensionless sigma terms.

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