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We present a differential study of Compton scattering of 40 keV photons at gas-phase helium. Comparing experimental and theoretical cross sections, we find a strong influence of electron-electron correlations in the final state, thus showing the invalidity of the independent-particle approximation in this energy regime. Book of abstracts, XXXII ICPEAC (Ottawa, Canada, 20.07–23.07. 2021), p. 373.