It is demonstrated that in simple soliton models essential features of the electro-magnetic nucleon form factors observed over three orders of magnitude in momentum transfer t are naturally reproduced. The analysis shows that three basic ingredients are required: an extended object, partial coupling to vector mesons, and relativistic recoil corrections. We use for the extended object the standard skyrmion, one vector meson propagator for both isospin channels, and the relativistic boost to the Breit frame. Continuation to timelike t leads to quite stable results for the spectral functions in the regime from the 2-or 3-pion threshold to about two rho masses. Especially the onset of the continuous part of the spectral functions at threshold can be reliably determined and there are strong analogies to the results imposed on dispersion theoretic approaches by the unitarity constraint. *
The ideas underlying the Skyrme model for baryons are introduced. Applications for the properties of single baryons ( B = 1) in the case of two and three flavours are based on Skyrme's hedgehog ansatz. The interaction between two baryons is discussed within the product ansatz for the B = 2 system. The pion baryon S matrix is derived in the adiabatic approximation. The possibility to include quark degrees of freedom is shown in terms of the hybrid model. Finally the origin and implications of the Wess-Zumino-Witten action are presented.
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