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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 inverse-Compton gamma-ray 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
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Andrea Giuliani
2005-01-21