Goldberger-Treiman constraint criteria for hyperon coupling constants

Abstract

The generalized Goldberger-Treiman relation is combined with the Dashen-Weinstein sum rule to provide a constraint equation between the g(KSigmaN) and g(KLambdaN) coupling constants. A comprehensive examination of the published phenomenological and theoretical hyperon couplings has yielded a much smaller set of values, spanning the intervals 0.80<=g(KSigmaN)/Sqrt(4Pi)<=2.72 and -3.90<=g(KLambdaN)/Sqrt(4Pi)<=-1.84, consistent with this criteria. The SU(3) and Goldberger-Treiman hyperon couplings satisfy the constraint along with predictions from a Taylor series extrapolation using the same momentum variation as exhibited by g(PiNN).

arXiv comment7 pages, 6 figures - typos

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Cited by in corpus (15)

• Hyperon-nucleon interaction at next-to-leading order in chiral effective field theory
• Dynamical coupled-channel approach to hadronic and electromagnetic production of kaon-hyperon on the proton
• Photoproduction of eta meson within a coupled-channels K-matrix approach
• Do $\Xi \Xi$ bound states exist?
• Phenomenological model for the Kbar N --> K Xi reaction
• Differential cross section of gamma n to K+ Sigma- on bound neutrons with incident photons from 1.1 to 3.6 GeV
• Dynamical coupled-channel model of kaon-hyperon interactions
• The associated photoproduction of K+ meson off proton within a coupled-channels K-matrix approach
• Chiral SU(3) dynamics and $\Lambda$-hyperons in the nuclear medium
• Production of a cascade hyperon in the K^- - proton interaction
• New fits to the reaction $\gamma p\to K^{+}\Lambda$
• Meson-baryon coupling constants of the SU(3) baryons with flavor SU(3) symmetry breaking
• Large CP violation in charmed baryon decays
• Low energy pion-${\Lambda }_b$ interaction
• Feasibility Study of Pion and Kaon Structure via the Sullivan Process at EicC