The influence of electron-electron collisions on the stopping power within dielectric theory

A possible approach to describe electron cooling is the dielectric theory. For the case of a (longitudinal) cold electron beam the contribution of electron-electron collisions is considered. Within a generalized linear response theory (Zubarev-approach) we have derived a generalized dielectric function (DF) including collisions. We discuss the importance of collisions in the dielectric function on different stages of approximation and their influence on ion stopping in an electron gas