Pion nucleon coupling constant, Goldberger-Treiman discrepancy and πN σ term

2004/06/30 by Miroslav Nagy, Michael D. Scadron, Gerald E. Hite
Physics and Astronomy · #hep-ph

paper · pdf

published as Acta Phys.Slov. 54 (2003) 427-432 · 5 pages, no figures, LaTeX; v2: corrected typo in eq. (6); v3: a discussion concerning chiral perturbation theory, and a co-author added

arxiv created 2004/09/07 · arxiv updated 2009/12/01

Abstract

We start by studying the Goldberger-Treiman discrepancy (GTd) Δ= (2.259± 0.591)%. Then we look at the πN σ term, with the dimensionless ratio σ_N/2m_N=3.35%. Finally we return to predicting (via the quark model) the πN coupling constant, with GTd Δ→ 0 as m_q→ m_N/3.

Related

• The Pion-Nucleon Sigma Term and the Goldberger-Treiman Discrepancy
• The pion nucleon coupling constant and the Goldberger-Treiman relation
• A brief history of the pion-nucleon coupling constant
• Couplings of NN(nπ) n ≥ 1
• Pseudoscalar meson dominance, the pion-nucleon coupling constant and the Goldberger-Treiman discrepancy