Generalized wakefield of a microbunched electron cooler

Abstract

In a previous note [1] we developed theoretical and computational tools for the study of microbunched electron cooling (MBEC [2]) in the three-dimensional regime. In this context, we were able to treat the key space charge effect in a rigorous fashion by taking explicitly into account the point-charge nature of the particles involved (electrons and hadrons). In this report, we build upon our earlier analysis by taking into consideration previously neglected effects that can cause Landau damping in the amplifier section (such as focusing, betatron oscillations and the angular spread of the electron beam). Beginning with the theoretical aspect of this work, we use our modified and expanded tools in order to calculate and study the generalized, point-hadron wakefield of the system, an important quantity that affects the cooling performance.