  We present X-ray data for a complete sample of 44 luminous infrared galaxies
(LIRGs), obtained with the Chandra X-ray Observatory. These are the X-ray
observations of the high luminosity portion of the Great Observatory All-sky
LIRG Survey (GOALS), which includes the most luminous infrared selected
galaxies, log (Lir/Lsun) > 11.73, in the local universe, z < 0.088. X-rays were
detected from 43 out of 44 objects, and their arcsec-resolution images,
spectra, and radial brightness distributions are presented. With a selection by
hard X-ray colour and the 6.4 keV iron line, AGN are found in 37% of the
objects, with higher luminosity sources more likely to contain an AGN. These
AGN also tend to be found in late-stage mergers. The AGN fraction would
increase to 48% if objects with mid-IR [Ne V] detection are included. Double
AGN are clearly detected only in NGC 6240 among 24 double/triple systems. Other
AGN are found either in single nucleus objects or in one of the double nuclei
at similar rates. Objects without conventional X-ray signatures of AGN appear
to be hard X-ray quiet, relative to the X-ray to far-IR correlation for
starburst galaxies, as discussed elsewhere. Most objects also show extended
soft X-ray emission, which is likely related to an outflow from the nuclear
region, with a metal abundance pattern suggesting enrichment by core collapse
supernovae, as expected for a starburst.
