Relativistic electron scattering from freely movable proton/ μ + in the presence of strong laser field Project supported by the National Natural Science Foundation of China (Grant Nos. 11774131, 91850114, 11604119, and 11627807)

We have investigated the electron scattering from the freely movable spin-1/2 particle in the presence of a linearly polarized laser field in the first Born approximation. The laser-dressed state of electrons is described by a time-dependent wave function which is derived from a perturbation treatment. With the aids of numerical simulations, we explore the dependencies of the differential cross section on the laser field intensity as well as the electron-impact energy. Due to the mobility of the target, the differential cross section of this process is smaller than that of Mott scattering.