Propagation of nucleons in laser fields

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Abstract
The propagator of a spin 1/2 Dirac particle with an anomalous magnetic moment in an external plane wave field is calculated by means of an off-shell eigenfunction expansion. The intensity-dependent frequency shift in Compton scattering is derived, and the modifications due to the anomalous magnetic moment are found to be non-negligible. Except in the case of a linearly polarized laser beam, there is moreover an intensity-dependent zeroth order harmonic of very low frequency, which is specific for the anomalous magnetic moment.