Comparative analysis of the Compton ionization of Hydrogen and Positronium
Ivan S. Stepantsov (1), Yuri V. Popov (2, 3), Igor P. Volobuev, (2) ((1) Physics Faculty, Lomonosov Moscow State University, Moscow, Russia,, (2) Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State, University, Moscow, Russia, (3) Joint Institute for Nuclear Research

TL;DR
This paper compares the Compton ionization processes of hydrogen and positronium, focusing on resonance effects and their impact on differential cross sections, revealing potential new peaks at specific energies.
Contribution
It provides a detailed comparison of Compton ionization cross sections for hydrogen and positronium, highlighting resonance phenomena and their influence on scattering signatures.
Findings
Resonance effects cause additional peaks in the cross section.
Resonances occur when electron and positron move parallel with zero relative momentum.
Additional peaks grow as photon energy decreases.
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 is found as an additional peak, which grows with a decrease in the photon energy.
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