In the equipartition synchrotron scenario, the equality between the
energy density of protons, leptons and magnetic field leads to a
remarkable good agreement with the observed spectra. For this to be
achieved the acceleration of electrons has to be impulsive, take place
in a very limited volume of the interacting shell, and the e
density has to be small enough, not to lower the mean lepton energy.
At the other extreme, when the particle acceleration occupies the
entire shell volume and/or lasts for a shell light crossing time, the
mean lepton energy is controlled by the balance between the heating
and the cooling rate. This leads to mildly or sub relativistic lepton
energies: the synchrotron emission is inhibited by self-absorption,
and provides soft photons for the dominant inverse Compton scattering.
The ratio of the observed multiple Compton scattering and the
self-absorbed synchrotron luminosities is
, and determines
the required Comptonization y parameter. As long as the compactness
of the emission region is large, relativistic temperatures cannot be
achieved, because in this case e
are copiously produced,
increasing the optical depth and decreasing the temperature. If, on
the other hand, the temperature is low and the optical depth is large,
photons are trapped inside the shell, and part of the luminosity is
used to expand it. As a result, the observed radiation is formed when
the system adjusts to have
a few and
keV.
This may be why GRBs are observed to emit MeV photons.
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