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

Fernando, I. P.; Alarcón, J. M.; Goity, J. L.

doi:10.1016/j.physletb.2018.04.054

Title: Baryon masses and σ terms in SU(3) BChPT × 1/Nc

Journal Article · Fri Jun 01 00:00:00 EDT 2018 · Physics Letters B

DOI:https://doi.org/10.1016/j.physletb.2018.04.054· OSTI ID:1437874

Fernando, I. P.; Alarcón, J. M.; Goity, J. L.

Baryon masses and nucleon $$\sigma$$ terms are studied with the effective theory that combines the chiral and $$1/N_c$$ expansions for three flavors. In particular the connection between the deviation of the Gell-Mann-Okubo relation and the $$\sigma$$ term associated with the scalar density $$\bar u u+\bar d d-2\bar s s$$ 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. Lastly, 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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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF); European Commission (EC)

Grant/Contract Number:: FPA2016-77313-P; PHY-1613951; PHY-1307413; AC05-06OR23177

OSTI ID:: 1437874

Alternate ID(s):: OSTI ID: 1454732

Report Number(s):: JLAB-THY-18-2679; DOE/OR/-23177-4397; S0370269318303484; PII: S0370269318303484

Journal Information:: Physics Letters B, Journal Name: Physics Letters B Vol. 781 Journal Issue: C; ISSN 0370-2693

Publisher:: ElsevierCopyright Statement

Country of Publication:: Netherlands

Language:: English

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Cited by: 9 works

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Gell-Mann–Okubo
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Title: Baryon masses and σ terms in SU(3) BChPT × 1/Nc

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Title: Baryon masses and σ terms in SU(3) BChPT × 1/Nc