Scattering of electron in the field of a narrow solenoid with alternating current

Scattering of electron in the field of a narrow solenoid with alternating current is considered. Using the eikonal approximation, the wave function of electron, the differential and total scattering cross sections are found. Unlike the case of direct current, the total cross section in the case of alternating current turns out to be finite. An oscillating asymmetry in the differential scattering cross section is discovered. The possibility of experimental observation of the effect is discussed.