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Inverse Compton
The energy of a gamma photon produced via inverse Compton by an electron of energy and a photon of energy is:

(1.23) 
The cross section of the reaction is the Thompson cross section (). The inverseCompton gammaray emissivity of interstellar matter is therefore:

(1.24) 
where is the energy density of the radiation field of photons of energy .
By integrating:

(1.25) 
where
, and are related by eq. 1.23.
For a distribution of electrons with spectrum
, from eq 1.24 become:

(1.26) 
Therefore the spectrum of produced photons is still a power law, with index
Next: Modeling the GammaRay Emission
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Andrea Giuliani
20050121