Spin-dependent polarizability of nucleon with dispersion relation in the Skyrme model

We calculate the spin-dependent polarizability of the nucleon in the Skyrme model. The result is compared with that of a heavy baryon chiral perturbation theory(HBChPT), and is shown to be the same as that of HBChPT up to the Δ-pole terms in the narrow width limit of the Δ state and with the experimental physical constants. The effect of the Δ+π channel is rather small and is numerically quite similar to that of the Δ loop in the HBChPT. The electric and magnetic polarizabilities are recalculated using the transverse photon and a consistent inclusion of the Δ width.