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Spin-dependent Polarizability of Nucleon with Dispersion Relation in the Skyrme Model

arXiv:hep-ph/9710449 · doi:10.1016/S0370-2693(98)00184-1

Abstract

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.

11 pages, LaTeX, no figures. misprints corrected