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arxiv: 1804.03094 · v1 · pith:3S5U56N3new · submitted 2018-04-09 · ✦ hep-ph

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

classification ✦ hep-ph
keywords massesbaryonsigma-termscombinationlargemassnucleonorder
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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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