We report on five binary pulsars discovered in the Parkes multibeam Galacti
c plane survey. All of the pulsars are old, with characteristic ages (1-11)
x 10(9) yr, and have relatively small inferred magnetic fields, (5-90) x 1
0(8) G. The orbital periods range from 1.3 to 15 days. As a group these obj
ects differ from the usual low-mass binary pulsars (LMBPs): their spin peri
ods of 9-88 ms are relatively long; their companion masses, 0.2-1.1 M., are
, in at least some cases, suggestive of CO or more massive white dwarfs; an
d some of the orbital eccentricities, 10(-5) less than or similar to e less
than or similar to 0.002 are unexpectedly large. We argue that these obser
ved characteristics reflect binary evolution that is significantly differen
t from that of LMBPs. We also note that intermediate-mass binary pulsars ap
parently have a smaller scale height than LMBPs.