The Compton Effect: Scattering Low Energy Photons by Electrons

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Spar
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An electron which is freely propagating in space cannot absorb any photon. What if we scatter a low energy photon (big wavelength) by a free electron? Will it be the Compton scattering?
 
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Scattering high energy electrons on low energy photons is typically referred to as inverse Compton scattering and produces high energy photons.
 
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Spar said:
An electron which is freely propagating in space cannot absorb any photon. What if we scatter a low energy photon (big wavelength) by a free electron? Will it be the Compton scattering?
Yes