Anomalous Magnetic Moment of the Nucleon and the Pion-Nucleon Scattering

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Abstract
The anomalous magnetic moment of the nucleon is calculated using the method developed by Chew and Low. The static model is used, i.e., recoil and nucleon pair creation are omitted. The anomalous moments are expressed exactly in terms of the renormalized coupling constant and pion-nucleon scattering cross sections. The result shows a satisfactory agreement for the magnetic moment arising from the pion current. The contribution from the nucleon current, however, turns out to be too large. It is concluded that the Sachs' mirror condition cannot be satisfied with the simple static model.