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Collisions of mass-less particles with those of mass

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You didn't said whether electron has to be free or bond to atom..

 

Here you have video summary of reactions between photons and electrons/atoms:

 

Momentum is conserved - photon momentum is well defined (and only depends on wavelength as a variable for the magnitude of the momentum). You can thus predict the outcome for a high energy photon hitting an elextron with a calculation based on Compton Scattering equations - or by using the momentum (relativistic) energy 4 vector and switching frames with lorentz transforms

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