Abstract
A recently developed theory for free-free transitions in intense, high-frequency laser fields is applied to study the laser-modified elastic scattering in a Coulomb potential (case of linear polarization). Under the conditions of the theory the scattering can be viewed as happening in a time-independent dressed Coulomb potential. This is modelled here by its spherical average so that a phase-shift analysis can be applied. We study the change of the Rutherford cross section as a function of the electron energy, the laser parameters, and the nuclear charge Z. Large modifications are shown to appear for values of the parameters corresponding to presently existing high-frequency lasers. Characteristic Coulomb-interference oscillations are displayed at small angles.
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