English

Goldberger-Treiman constraint criteria for hyperon coupling constants

Nuclear Theory 2009-11-10 v2

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).

Cite

@article{arxiv.nucl-th/0311039,
  title  = {Goldberger-Treiman constraint criteria for hyperon coupling constants},
  author = {Ignacio J. General and Stephen R. Cotanch},
  journal= {arXiv preprint arXiv:nucl-th/0311039},
  year   = {2009}
}

Comments

7 pages, 6 figures - typos

R2 v1 2026-07-22T18:30:33.646Z