Spin-Polarizabilities of the Nucleon in Chiral Soliton Model with Dispersion Relation

Abstract

We calculate the spin-polarizabilities of the nucleon by means of dispersion relation, where the pion photoproduction amplitude predicted by chiral soliton model is utilized. We consider the $N\pi$ and $\Delta\pi$ channels in the pion-photoproduction amplitude, and also evaluate the contribution of the anomalous term of the $\pi^0\gamma\gamma$ process. In a narrow decay-width limit of the $\Delta$ particle the result coincides with that in heavy baryon chiral perturbation theory (HBChPT) except for the interference part of the electric and magnetic amplitudes. A comparison with the multipole analysis is given.