Compton Cross Section: Derivation & Relation

motoroller
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What's the relation for the Compton cross section? I remember it going as 1/(1-cos(theta)) but can't remember the rest. I searched for a derivation but can't find one at the moment.
 
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eq. 6

http://www.physics.usyd.edu.au/~kuncic/lectures/HEA_L10.pdf
 
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