We present the results of a CCD imaging survey for gravitational lensing in
a sample of 38 X-ray-selected clusters of galaxies. Our sample consists of
the most X-ray luminous (L-x greater than or equal to 2 10(44) ergs-l) clu
sters selected from the Einstein, Observatory Extended Medium Sensitivity S
urvey (EMSS) that are observable from Mauna Kea (delta > -40 degrees). The
sample spans a redshift range of 0.15 less than or equal to z less than or
equal to 0.823 and includes 5 clusters with z > 0.5. CCD images of the clus
ters were obtained in excellent seeing. There is evidence of strong gravita
tional lensing in the form of giant arcs (length l greater than or equal to
8 ", axis ratio l/w greater than or equal to 10) in 8 of the 38 clusters.
Two additional clusters contain shorter arclets, and 6 more clusters contai
n candidate arcs that require follow-up observations to confirm their lensi
ng origin. Since the survey does not have a uniform surface brightness limi
t we do not draw any conclusion based on the statistics of the arcs found.
We note, however, that 60% (3 of 5) of the clusters with L-x > 10(45) ergs(
-1), and none of the 15 clusters with L-x < 4 1044 ergs(-1) contain giant a
rcs, thereby confirming that high X-ray luminosity does identify the most m
assive systems, and thus X-ray selection is the preferred method for findin
g true, rich clusters at intermediate and high redshifts. The observed geom
etry of the arcs, most of which are thin, have large axis ratios (l/w >10),
and are aligned orthogonal to the optical major axes of the clusters, indi
cate the cluster core mass density profiles must be compact (steeper than i
sothermal). In several cases, however, there is also some evidence, in the
form of possible radial arcs, for density profiles with finite core radii.