Spin flip due to the spin–orbit interaction of colliding slow charged particles

The scattering amplitudes of point charged particles is calculated analytically taking into account the spin–orbit interaction. We have considered two cases typical of a hydrogen-like plasma: scattering of an electron by a heavy ion and scattering of an electron by a free electron. The results have been obtained taking into account the ranges of low collision energies smaller than α 2 m e c 2 , where α is the fine structure constant.