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Compton scattering differential cross section
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[QUOTE="Jabba64, post: 4982443, member: 539312"] [B]1. The problem statement, all variables and given/known I have to prove an equation for the differential cross section of [URL='https://www.physicsforums.com/insights/anatomy-of-compton-scattering/']compton scattering[/URL] of an electron and a photon (electron (P) + photon(K) ⇒ electron(P') + photon (K') ) where P and so on are the inital and final four momenta. Given is that the square of the matrix element for the process, summed over all spin states and divided by 4 is given by:[/B] [ATTACH=full]175537[/ATTACH] [B]i have to prove: [ATTACH=full]175538[/ATTACH] [/B] Where E and p are the initial energy and the size of the three momentum of the electron. [B]We can also use the following formula: [ATTACH=full]175539[/ATTACH] Where i believe we assume the factor 1/va-vb to be 1/2. Can someone help me solve this? I also have no idea where the squares of the cosines and sines in the expression for the cross section come from .[/B] [/QUOTE]
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Compton scattering differential cross section
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