We present X-ray observations of two young energetic radio pulsars, PSRs B1
046 - 58 and B1610 - 50, and their surroundings, using archival data from t
he Advanced Satellite for Cosmology ann Astrophysics (ASCA). The energetic
pulsar PSR B1610--50 is detected in X-rays with a significance of 4.5 a. Th
e unabsorbed flux, estimated assuming a power-law spectrum and a neutral hy
drogen column density N-H of 5 x 10(21) Cm-2, is (2.5 +/- 0.3) x 10(-13) er
gs cm(-2) s(-1) in the 2-10 keV band. Pulsed emission is not detected; the
pulsed fraction is less than 31% at the 90% confidence level for a 50% duty
cycle. We argue that the emission is best explained as originating from a
pulsar-powered synchrotron nebula. The X-ray counterpart of the pulsar is t
he only hard source within the 95% error region of the previously unidentif
ied gamma-ray source 3EG J1048--5840. This evidence supports the results of
Kaspi et al., who suggest, in a companion paper, that PSR B1046--58 is the
counterpart to 3EG J1048--5840. X-ray emission from PSR B1610--50 is not d
etected. Using assumptions similar to those above, the derived 3 sigma uppe
r limit for the unabsorbed 2-10 keV X-ray flux is 1.5 x 10(-13) ergs cm(-2)
s(-1). We use the flux limit to estimate the pulsar's velocity to be less
than similar to 170 km s(-1), casting doubt on a previously reported associ
ation between PSR B1610--50 and supernova remnant Kes 32. Kes 32 is detecte
d, as is evident from the correlation between X-ray and radio emission. The
ASCA images of PSR B1610--50 are dominated by mirror-scattered emission fr
om the X-ray-bright supernova remnant RCW 103, located 33' away. We find no
evidence for extended emission around either pulsar, in contrast to previo
us reports of large nebulae surrounding both pulsars.