J. M. Alarcon, L. S. Geng, J. Martin Camalich, J. A. Oller
We revisit the classical relation between the strangeness content of the nucleon, the pion-nucleon sigma term and the $SU(3)_F$ breaking of the baryon masses in the context of covariant chiral perturbation theory. In particular, we consider the contributions of the decuplet resonances explicitly. We find that a value of the pion-nucleon sigma term of $\sim$60 MeV is not at odds with, but favored by the fulfillment of the Zweig rule. We compare these results with earlier ones and discuss the convergence of the chiral series as well as the uncertainties of chiral approaches to the determination of the sigma terms.
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http://arxiv.org/abs/1209.2870
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