Pion nucleon coupling constant, Goldberger-Treiman discrepancy and $\pi N$ $\sigma$ term

Miroslav Nagy, Michael D. Scadron, Gerald E. Hite

We start by studying the Goldberger-Treiman discrepancy (GTd) $\Delta =(2.259\pm 0.591)$. Then we look at the $\pi N$ $\sigma$ term, with the dimensionless ratio ${\sigma }_N/2m_N=3.35$. Finally we r…