Comparative analysis of the Compton ionization of hydrogen and positronium

Abstract The paper deals with the Compton disintegration of positronium and a comparison of the differential cross sections of this process with the similar cross sections in the case of the Compton ionization of the hydrogen atom. Special attention is paid to the resonances arising, when the electron and positron move parallel to each other in continuum states with the same velocities and zero relative momentum. It is likely that a manifestation of this effect in the double differential cross section (differential in the electron energy and angle) is found as an additional peak, which grows with a decrease in the photon energy. Graphical abstract