BATSE Gamma-Ray Burst Line Search: III. Line Detectability

We evaluate the ability of the BATSE spectroscopy detectors to detect the absorption lines observed by Ginga in gamma ray burst spectra. We find that BATSE can detect the 20.6 keV line in the S1 segment of GB870303 with a detection probability of ~1/4 in nearly normally incident bursts, with the probability dropping off to nearly 0 at a burst angle of 50 degrees; the lines at 19.4 and 38.8 keV lines in GB880205 have a high detection probability in BATSE up to burst angles of 75 degrees. In addition, we calculate detection probabilities for these two line types as a function of signal-to-noise ratio and burst angle for use in detailed comparisons between BATSE and Ginga. Finally, we consider the probability averaged over the sky of detecting a line feature with the actual array of BATSE detectors on CGRO.