  We investigate the X-ray properties of PG 1004+130, a low-redshift radio-loud
broad absorption line (BAL) quasar with a hybrid FR I/FR II radio morphology.
The 22.2 ks XMM-Newton and 41.6 ks Chandra observations presented here are the
first X-ray detections of PG 1004+130 and constitute the highest spectral
quality X-ray observations of a radio-loud BAL quasar available to date. The
Chandra ACIS-S spectrum shows evidence for complex soft X-ray absorption not
detected in the data obtained 1.7 yr previously with XMM-Newton, with a
best-fit intrinsic column density of N_H=1.2e22 cm-2 for the preferred
partial-covering model. There is no significant difference in the hard-band
power-law photon index of ~1.5 between the two observations. The Chandra image
also reveals extended X-ray emission ~8'' (30 kpc) south-east of the nucleus,
aligned with the FR I jet but upstream of the 1.4 GHz radio-brightness peak.
The jet is not detected by HST, and the optical upper limit rules out a simple
single-component synchrotron interpretation of the radio-to-X-ray emission. The
multiwavelength characteristics of the PG 1004+130 jet, including its
relatively flat X-ray power law and concave spectral energy distribution, are
similar to those of powerful FR II jets. The lack of strong beaming in PG
1004+130 limits the efficiency of inverse Compton upscattering, and we consider
the X-ray emission to most likely arise from a second synchrotron component
generated by highly energetic electrons.
