Explanation of the anomalous redshift on nonlinear X-ray Compton scattering spectrum by a bound electron
S. Shi, J. Chen, Y. J. Yang, Z. C. Yan, X. J. Liu, B. B. Wang

TL;DR
This paper introduces a quantum electrodynamics-based model to explain the anomalous redshift observed in nonlinear X-ray Compton scattering by bound electrons, linking atomic structure with high-intensity laser interactions.
Contribution
It provides a frequency-domain formulation for bound electron nonlinear Compton scattering, revealing the redshift origin as electron binding energy and momentum transfer.
Findings
Confirmed the existence of anomalous redshift in experiments
Linked redshift to electron binding energy and momentum transfer
Bridged atomic physics with high-intensity laser scattering
Abstract
Nonlinear Compton scattering is an inelastic scattering process where a photon is emitted due to the interaction between an electron and an intense laser field. With the development of X-ray free-electron lasers, the intensity of X-ray laser is greatly enhanced, and the signal from X-ray nonlinear Compton scattering is no longer weak. Although the nonlinear Compton scattering by an initially free electron has been thoroughly investigated, the mechanis of nonrelativistic nonlinear Compton scattering of X-ray photons by bound electrons is unclear yet. Here, we present a frequency-domain formulation based on the nonperturbative quantum electrodynamic to study nonlinear Compton scattering of two photons off a bound electron inside an atom in a strong X-ray laser field. In contrast to previous theoretical works, our results clearly reveal the existence of anomalous redshift phenomenon…
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