No Enough Evidence In Support Of Correlation Between Gamma-ray Bursts And Foreground Galaxiy Clusters In the Swift Era

The correlation between distant Gamma-Ray Bursts (GRBs) and foreground galaxy clusters is re-examined by using the well localized (with an accuracy down to a few arcseconds) Swift/XRT GRBs. The galaxy clusters are compiled from both X-ray selected ROSAT brightest cluster sample (BCS) and BCS extension by requiring $\delta \ge 0\text{degr}$ and $b\ge 20\text{degr}$. The Swift/XRT GRBs fulfilling the above selection criteria are cross-correlated with the clusters. Both Nearest-Neighbor Analysis and angular two-point cross-correlation function show that there is no enough evidence supporting the correlation between the GRBs and foreground clusters. We suggest that the non-correlation is probably related to the GRB number-flux relation slope.