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Unique White Dwarfs Accompanying Recycled Pulsars

I introduce the two classes of pulsar, white-dwarf binaries, and describe for each what we have learned from a specific system, PSR J1012+5307 and PSR B0655+64, respectively, summarising what has been done, presenting new results, and discussing what the future may hold. Briefly, for the companion of PSR J1012+5307 we find a DA spectrum, and infer a mass of about 0.16Msun, the lowest among all spectroscopically identified white dwarfs. Combined with a radial-velocity orbit, a neutron-star mass between 1.5 and 3.2Msun (95% conf.) is derived. The companion of PSR B0655+64 shows strong Swan C2 bands, i.e., it is a DQ star. Unlike anything reported for other DQs, however, it shows variations in strength of the bands by a factor two. Most likely, the variations are periodic, with a period of about 9.7h. This is substantially shorter than the 1-day orbital period, which can likely be understood in terms of its past evolution.