Pion nucleon coupling constant, Goldberger-Treiman discrepancy and $πN$ $σ$ term
Loading...
Date
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
We start by studying the Goldberger-Treiman discrepancy (GTd) $Δ= (2.259\pm 0.591)%$. 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 $Δ\to 0$ as $m_q\to m_N/3$.
5 pages, no figures, LaTeX; v2: corrected typo in eq. (6); v3: a discussion concerning chiral perturbation theory, and a co-author added
5 pages, no figures, LaTeX; v2: corrected typo in eq. (6); v3: a discussion concerning chiral perturbation theory, and a co-author added