Low Frequency Spectra of Gamma-Ray Bursts

Abstract

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).

10pp, Tex, WU-JIK-93-2

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