  The ROSAT All-Sky Survey (RASS) represents one of the most complete and
sensitive soft X-ray all-sky surveys to date. However, the deficient positional
accuracy of the RASS Bright Source Catalog (BSC) and subsequent lack of firm
optical identifications affect the multi-wavelength studies of X-ray sources.
The widely used positional errors $\sigma_{pos}$ based on the Tycho Stars
Catalog (Tycho-1) have previously been applied for identifying objects in the
optical band. The considerably sharper Chandra view covers a fraction of RASS
sources, whose $\sigma_{pos}$ could be improved by utilizing the sub-arcsec
positional accuracy of Chandra observations. We cross-match X-ray objects
between the BSC and \emph{Chandra} sources extracted from the Advanced CCD
Imaging Spectrometer (ACIS) archival observations. A combined counterparts list
(BSCxACIS) with \emph{Chandra} spatial positions weighted by the X-ray flux of
multi-counterparts is employed to evaluate and improve the former
identifications of BSC with the other surveys. Based on these identification
evaluations, we suggest that the point-likeness of BSC sources and INS
(isolated neutron stars) candidates should be carefully reconsidered.
