Search for Quasar Pairs with ${\it Gaia}$ Astrometric Data. I. Method and Candidates

Quasar pair, a special subclass of galaxy pair, is valuable in the investigation of quasar interaction, co-evolution, merger, and clustering, as well as the formation and evolution of galaxies and supermassive black holes. However, quasar pairs at kpc-scale are rare in the universe. The scarcity of available samples hindered the deeper exploration and statistics of these objects. In this work, we apply an astrometric method to systematically search for quasar candidates within a transverse distance of 100 kpc to known quasars in the Million Quasar Catalog. These candidates are ${\it Gaia}$ sources with zero proper motion and zero parallax, which are the kinematic characteristics of extragalactic sources. Visual inspection of the sample was performed to remove the contamination of dense stellar fields and nearby galaxies. A total of 4,062 quasar pair candidates were isolated, with the median member separation, ${\it Gaia}$ G-band magnitude, and redshift of 8.81$^{\prime\prime}$, 20.49, and 1.59, respectively. Our catalog was compared with three major candidate quasar pair catalogs and identified 3,964 new quasar pair candidates previously uncataloged in the three catalogs. Extensive spectroscopic follow-up campaigns are being carried out to validate their astrophysical nature. Several interesting quasar pair candidates are highlighted and discussed. We also briefly discussed several techniques for improving the success rate of quasar pair selection.