Do Gamma-Ray Burst Sources Repeat?

The demonstration of repeated gamma-ray bursts from an individual sourcewould severely constrain burst source models. Recent reports (Quashnock andLamb 1993; Wang and Lingenfelter 1993) of evidence for repetition in the firstBATSE burst catalog have generated renewed interest in this issue. Here, weanalyze the angular distribution of 585 bursts of the second BATSE catalog(Meegan et al. 1994). We search for evidence of burst recurrence using thenearest and farthest neighbor statistic and the two-point angular correlationfunction. We find the data to be consistent with the hypothesis that burstsources do not repeat; however, a repeater fraction of up to about 20% of theobserved bursts cannot be excluded.Comment: ApJ Letters, in press, 13 pages, including three embedded figures. uuencoded Unix-compressed PostScrip