Postburst nebular emission of soft gamma-ray repeaters

The soft gamma ray repeater SGR 1806-20 has been shown to be unambiguously associated with the central region of the radio nebula G10.0-0.3. The nebula surrounding SGR 1806-20 is probably a supernova remnant and has a nonthermal radio spectrum typical of a 'plerion,' circumstellar gas energized by a relativistic particle outflow from a central source. The association of soft gamma ray repeaters (SGRs) with supernova remnants is supported by the likely association of another repeater, SGR 0525-66, with the nebula N49 in the Large Magellanic Cloud. Gas nebulae surrounding SGRs provide ideal calorimeters to tap both the impulsive and steady state energy released from these bursting sources. We discuss in this Letter a simple model of high-energy emission produced by impulsive release of relativistic particles in nebulae surrounding SGRs following bursting episodes. This nebular X-ray and gamma ray emission can be detected and monitored by ROSAT, ASCA, and the Compton Gamma Ray Observatory.