Goldberger-Treiman constraint criteria for hyperon coupling constants
arXiv:nucl-th/0311039 · doi:10.1103/PhysRevC.69.035202
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).
7 pages, 6 figures - typos