The Fundamental Nature of Low-Energy Pion-Nucleon Interactions

Abstract

A historical review of pion-nucleon interactions at low energy is presented, with aims toward an introductory, pedagogic approach focusing on issues germane to current research. These topics include the use of chiral effective field theory, the sigma term, qualitative understanding of low-energy phase shifts, the physics of the $\Delta$ resonance, and isospin violation. A theme is that low-energy pion-nucleon scattering is directly related to QCD via effective field theory. Another theme is that modern needs regarding the pion-nucleon sigma term and the study of isospin violation requires a better low-energy data set.