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

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:
 [1];  [2];  [2]
  1. Hampton Univ., Hampton, VA (United States). Dept. of Physics
  2. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); 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; PII: S0370269318303484
Grant/Contract Number:
AC05-06OR23177; FPA2016-77313-P; PHY-1307413; PHY-1613951
Resource Type:
Journal Article: Published Article
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 781; Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Sigma terms; Nucleon mass; Baryon masses; Gell-Mann–Okubo; mass formula

Citation Formats

Fernando, Ishara P., Alarcon-Soriano, Jose-Manuel, and Goity, Jose Luis. Baryon masses and σ terms in SU(3) BChPT×1/Nc. United States: N. p., 2018. Web. doi:10.1016/j.physletb.2018.04.054.
Fernando, Ishara P., Alarcon-Soriano, Jose-Manuel, & Goity, Jose Luis. Baryon masses and σ terms in SU(3) BChPT×1/Nc. United States. doi:10.1016/j.physletb.2018.04.054.
Fernando, Ishara P., Alarcon-Soriano, Jose-Manuel, and Goity, Jose Luis. Fri . "Baryon masses and σ terms in SU(3) BChPT×1/Nc". United States. doi:10.1016/j.physletb.2018.04.054.
@article{osti_1437874,
title = {Baryon masses and σ terms in SU(3) BChPT×1/Nc},
author = {Fernando, Ishara P. and Alarcon-Soriano, Jose-Manuel and Goity, Jose Luis},
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. Section B},
number = C,
volume = 781,
place = {United States},
year = {Fri Apr 27 00:00:00 EDT 2018},
month = {Fri Apr 27 00:00:00 EDT 2018}
}

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

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