Soft gamma repeaters (SGRs) are a class of rare, high-energy galactic
transients that have episodes of short (similar to 1 s), soft (similar
to 30 keV), intense (similar to 100 Crab), gamma-ray bursts. We repor
t an analysis of the X-ray emission from 95 SGR 1806-20 events observe
d by the international Cometary Explorer. The spectral shape remains r
emarkably constant for bursts that differ in intensity by a range of 5
0. Below similar to 15 keV the number spectrum falls off rapidly such
that we can estimate the total intensity of the events. Assuming that
SGR 1806-20 is associated with the supernova remnant G10.0-0.3 (Kulkar
ni and Frail 1993; Murakami et al. 1994), the brightest events had a t
otal luminosity of 1.8 x 10(42) ergs s(-1), a factor of 2 x 10(4) abov
e the Eddington limit. A third of the emission was above 30 keV. There
are at least three processes that are consistent with the spectral ro
llover below 15 keV. (1) The rollover is consistent with some forms of
self-absorption. Typical thermal temperatures are similar to 20 keV a
nd require an emitting surface with a radius between 10 and 50 km. The
lack of spectral variability implies that only the size of the emitti
ng surface varies from event to event. If the process is thermal synch
rotron, the required magnetic field might be too small to confine the
plasma against the super-Eddington flux. (2) The low-energy rollover c
ould be due to photoelectric absorption by 10(24) hydrogen atoms cm(-2
) of neutral material with a cosmic abundance. This assumes a continuu
m similar to thermal bremsstrahlung with a temperature of similar to 2
2 keV. The material is most likely to be associated with the object as
circumstellar matter a few AU from the central source rather than for
eground clouds or directly at the site of the energy release. (3) Emis
sion in the two lowest harmonics from a 1.3 x 10(12) G field would app
ear as Doppler-broadened lines and fall off rapidly below 15 keV.