Resonances and intensity-dependent shifts of the Moller cross section in a strong laser field

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Abstract
The laser field is treated as a classical external field and represented as a monochromatic plane-wave field of circular polarisation. The differential cross section for the scattering of unpolarised electrons in this field is calculated and numerically evaluated for the non-relativistic energy region. Because of the complicated kinematics of this process an experimental situation is considered where the incoming electrons have opposite and equal momentum. It is shown that the off resonance cross section in a strong field can differ considerably from the free case in regions accessible to experimentation for various laser and electron parameters. Resonances are found to exist in physical regions. Renormalisation is performed. The resonance cross section, the width and the spacing of the resonances are evaluated. Under specific circumstances the resonance cross section is found to exceed the off-resonance cross section by several orders of magnitude. The experimental conditions for the resonance case, however, seem to be harder to meet than in the off resonance case.

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