Low-Energy Theorems in the Chiral Soliton Model

Abstract

We show that low-energy theorems for pion-photoproduction and Compton scattering can be reproduced within the Skyrme-soliton model using the formulation developed for pion-nucleon scattering. The electric polarizability of nucleon is shown to be given by a dispersion integral with the longitudinal-photon absorption cross section, while the magnetic one is given by using the dispersion integral. We explicitly give contributions from the Δ state as the resonance and the πΔ channel coupling.