Origins of short gamma-ray bursts deduced from offsets in their host galaxies revisited

The spatial distribution of short Gamma-ray bursts （GRBs） in their host galaxies provides us with an opportunity to investigate their origins. Based on the cur- rently observed distribution of short GRBs relative to their host galaxies, we obtain the fraction of the component that traces the mergers of binary compact objects and the one that traces star formation rate （such as massive stars） in early- and late-type host galaxies. From the analysis of projected offset distribution and only based on population synthesis and massive star models, we find that the fraction of massive stars is 0.37＋_~14~ with an error at the 1or level for a sample with 22 short GRBs in the literature. From these results, it is hard to accept that the origin of short GRBs with ob- served statistics is well described by current models using only the offset distribution. The uncertainties in observational localizations of short GRBs also strongly affect the resulting fraction.