An Overview of the Compton Scattering Calculation
Chen-Kai Qiao, Jian-Wei Wei, Lin Chen

TL;DR
This paper reviews various ab initio computational methods for modeling Compton scattering, highlighting their features, ranges, and applications in physics and material science.
Contribution
It provides a comprehensive overview of different theoretical approaches and discusses their applicability and limitations in calculating Compton scattering.
Findings
Comparison of approaches like FEA, IA, ISF, and SM
Discussion of their main features and ranges
Introduction to databases and applications
Abstract
The Compton scattering process plays significant roles in atomic and molecular physics, condensed matter physics, nuclear physics and material science. It could provide useful information on the electromagnetic interaction between light and matter. Several aspects of many-body physics, such us electronic structures, electron momentum distributions, many-body interactions of bound electrons, \emph{etc}, can be revealed by Compton scattering experiments. In this work, we give a review on \emph{ab initio} calculation of Compton scattering process. Several approaches, including the free electron approximation (FEA), impulse approximation (IA), incoherent scattering function / incoherent scattering factor (ISF) and scattering matrix (SM) are focused in this work. The main features and available ranges for these approaches are discussed. Furthermore, we also briefly introduce the databases…
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