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arXiv · 1804.03094

Baryon masses and \sigma-terms in SU(3) BChPT x 1/Nc

I. P. Fernando·J. M. Alarcon·J. L. Goity
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Abstract

Baryon masses and nucleon \sigma-terms are studied with the effective theory that combines the chiral and 1/Nc expansions for three flavors. In particular the connection between the deviation of the Gell-Mann-Okubo relation and the \sigma-term corresponding to the scalar density associated with the hypercharge is emphasized. The latter is at lowest order related to a mass combination whose low value has given rise to a \sigma- term puzzle. It is shown that while the nucleon \sigma-terms have a well behaved low energy expansion, that mass combination is affected by large higher order corrections non-analytic in quark masses. Adding to the analysis lattice QCD baryon masses, it is found that {\sigma}{\pi}N=69(10) MeV and {\sigma}s has natural magnitude within its relative large uncertainty.

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I. P. Fernando, J. M. Alarcon, J. L. Goity. 2018-04-09. Baryon masses and \sigma-terms in SU(3) BChPT x 1/Nc. https://doi.org/10.1016/j.physletb.2018.04.054

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