English

Baryon-Pion Couplings from Large-N QCD

High Energy Physics - Phenomenology 2009-10-22 v1

Abstract

We derive a set of consistency conditions for the pion-baryon coupling constants in the large-N limit of QCD. The consistency conditions have a unique solution which are precisely the values for the pion-baryon coupling constants in the Skyrme model. We also prove that non-relativistic SU(2Nf)SU(2N_f) spin-flavor symmetry (where NfN_f is the number of light flavors) is a symmetry of the baryon-pion couplings in the large-N limit of QCD. The symmetry breaking corrections to the pion-baryon couplings vanish to first order in 1/N1/N. Consistency conditions for other couplings, such as the magnetic moments are also derived.

Keywords

Cite

@article{arxiv.hep-ph/9307241,
  title  = {Baryon-Pion Couplings from Large-N QCD},
  author = {Roger Dashen and Aneesh V. Manohar},
  journal= {arXiv preprint arXiv:hep-ph/9307241},
  year   = {2009}
}

Comments

(12 pages, 2 figs, uses harvmac and uufiles), UCSD/PTH 93-16

R2 v1 2026-07-22T14:17:54.377Z