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

Abstract

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.

Authors:
; ;
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF); European Commission (EC)
OSTI Identifier:
1437874
Alternate Identifier(s):
OSTI ID: 1454732
Report Number(s):
JLAB-THY-18-2679; DOE/OR/-23177-4397
Journal ID: ISSN 0370-2693; S0370269318303484; PII: S0370269318303484
Grant/Contract Number:  
FPA2016-77313-P; PHY-1613951; PHY-1307413; AC05-06OR23177
Resource Type:
Published Article
Journal Name:
Physics Letters B
Additional Journal Information:
Journal Name: Physics Letters B Journal Volume: 781 Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Sigma terms; Nucleon mass; Baryon masses; Gell-Mann–Okubo; mass formula

Citation Formats

Fernando, I. P., Alarcón, J. M., and Goity, J. L. Baryon masses and σ terms in SU(3) BChPT × 1/Nc. Netherlands: N. p., 2018. Web. https://doi.org/10.1016/j.physletb.2018.04.054.
Fernando, I. P., Alarcón, J. M., & Goity, J. L. Baryon masses and σ terms in SU(3) BChPT × 1/Nc. Netherlands. https://doi.org/10.1016/j.physletb.2018.04.054
Fernando, I. P., Alarcón, J. M., and Goity, J. L. Fri . "Baryon masses and σ terms in SU(3) BChPT × 1/Nc". Netherlands. https://doi.org/10.1016/j.physletb.2018.04.054.
@article{osti_1437874,
title = {Baryon masses and σ terms in SU(3) BChPT × 1/Nc},
author = {Fernando, I. P. and Alarcón, J. M. and Goity, J. L.},
abstractNote = {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.},
doi = {10.1016/j.physletb.2018.04.054},
journal = {Physics Letters B},
number = C,
volume = 781,
place = {Netherlands},
year = {2018},
month = {6}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1016/j.physletb.2018.04.054

Citation Metrics:
Cited by: 1 work
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Figures / Tables:

Fig. 1 Fig. 1: Left panel: summary of the determinations of σπ N from π N scattering (blue), from LQCD (red), and from this work showing the combined fit and theoretical error. Right panel: N and masses from Fit 2 of Table 1: physical and LQCD masses from [32]. The squares aremore » the results from the fit and the error bands correspond to 68% confidence interval. (For interpretation of the colors in the figure(s), the reader is referred to the web version of this article.)« less

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    Figures / Tables found in this record:

      Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.