Astronomy and Astrophysics – Astrophysics
Scientific paper
1993-12-15
Astrophys.J.432:L107-L109,1998
Astronomy and Astrophysics
Astrophysics
10pp, Tex, WU-JIK-93-2
Scientific paper
10.1086/187523
Particles with energies below the mean energy $E_0$ in relativistic shocked plasmas should assume an equilibrium energy distribution. This leads to a synchrotron spectrum $F_\nu \propto \nu^{1/3}$ up to approximately the critical frequency $\nu_0$ of an electron with the energy $E_0$. Application to GRBs implies that a burst with $10^{-5}$ erg/cm$^2$s of soft gamma-rays and $h \nu_0 = 300$ KeV should be about 18th magnitude in visible light and a few $\mu$Jy at 1 GHz (less if self-absorbed).
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