The role of the eta meson in the Callan-Klebanov approach to the Skyrme model

We study, along lines similar to those developed by Callan and Klebanov for the treatment of the strange degrees of freedom within the context of the SU(3) Skyrme model, the question of including the eta meson alongside the kaons. To this end, we introduce an alternate Skyrme lagrangian which provides a coupling between the skyrmion and the eta field. We find an s-wave eta-skyrmion bound state and quantize its rotational excitations. We qualitatively identify the lowest member of the rotational band as the N(1535) negative-parity nucleon resonance. (orig.)