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Title Baryon masses and sigma terms in SU(3) BChPT x 1/Nc
Authors I. Fernando, Jose Goity
JLAB number JLAB-THY-18-2679
LANL number (None)
Other number DOE/OR/23177-4397
Document Type(s) (Journal Article) 
Associated with EIC: No
Supported by Jefferson Lab LDRD Funding: No
Funding Source: Nuclear Physics (NP)
Other Funding:NSF
 

Journal
Compiled for Physics Letters B
Volume 781
Page(s) 719-722
Refereed
Publication 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. 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.
Experiment Numbers: other
Group: THEORY CENTER
Document: pdf
DOI: https://doi.org/10.1016/j.physletb.2018.04.054
Accepted Manuscript: 1-s2.0-S0370269318303484-main.pdf
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