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Free-free transitions in laser-assisted electron-hydrogen scattering in abichromatic field of frequencies $\omega $ and $2\omega $ are studied atmoderate intensities for fast projectiles. A hybrid approach is used, in whichthe field-projectile interaction is described exactly but the field-target oneis described by second order perturbation theory; the projectile-targetinteraction is treated in the first Born approximation. The adopted descriptionof the target enables a consistent study of the leading process to each of theconsidered sidebands. Numerical results are presented for the angulardistributions in a geometry and at frequencies for which the target dressing isimportant. The influence of the relative phase between the fields isinvestigated, too.

Free-free transitions in a bichromatic field of frequencies $\omega $ and $2\omega$ at moderate field intensities