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Compton scattering differential cross section

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1. The problem statement, all variables and given/known

I have to prove an equation for the differential cross section of compton scattering 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:


prentje1_zps075de5ed.png



i have to prove:

prentje3_zps14181a85.png


Where E and p are the initial energy and the size of the three momentum of the electron.
We can also use the following formula:

prentje4_zpsb7bcf350.png



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 .
 

Answers and Replies

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Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
 

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