Nucleon electric polarizability in soliton models and the role of the seagull terms

Abstract

The full Hamiltonian of the soliton models contains no electric seagull terms. Here it is shown that if one restricts the fields to the collective subspace then electric seagull terms are induced in the effective Hamiltonian. These effective seagull contributions are consistent with gauge invariance. They also reproduce the leading nonanalytic behavior of a large $N_c$ chiral perturbation theory calculation of the electric polarizability.

LaTeX, 17 pages, no figures

References in corpus (3)

• The role of the Delta isobar in chiral perturbation theory and hedgehog soliton models
• Response of nucleons to external probes in hedgehog models: I. Electromagnetic polarizabilities
• Electric Polarizability of the Nucleon in the Nambu--Jona-Lasinio Model

Cited by in corpus (5)

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• SU(3) Symmetry Breaking and Octet Baryon Polarizabilities
• Do really the seagull terms survive for the electric polarizability of the nucleon