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

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

Publishing date

1997-10-23

URL

arxiv.org/abs/hep-ph/9710449v2

Journals

Phys.Lett. B425 (1998) 6-12

Science

Physics

Field

High Energy Physics

SubField

High Energy Physics - Phenomenology

Additional info

11 pages, LaTeX, no figures. misprints corrected

Type

Scientific paper

Digital Object Identifier

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 $\Delta$-pole terms in the narrow width limit of the $\Delta$ state and with the experimental physical constants. The effect of the $\Delta+\pi$ channel is rather small and is numerically quite similar to that of the $\Delta$ loop in the HBChPT. The electric and magnetic polarizabilities are recalculated using the transverse photon and a consistent inclusion of the $\Delta$ width.

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