Abstract
The metallicity dependence of the wide-binary fraction in stellar populations
plays a critical role in resolving the open question of wide binary formation.
In this paper, we investigate the metallicity (Fe/H) and age dependence of
the wide-binary fraction (binary separations between $10^3$ and $10^4$ AU) for
field F and G dwarfs within 500 pc by combining their metallicity and radial
velocity measurements from LAMOST DR5 with the astrometric information from
Gaia DR2. We show that the wide-binary fraction strongly depends on the
metallicity: as metallicity increases, the wide-binary fraction first
increases, peaks at Fe/H$0$, and then decreases at the high
metallicity end. The wide-binary fraction at Fe/H$=0$ is about two times
larger than that at Fe/H$=-1$ and Fe/H$+0.5$. This metallicity
dependence is dominated by the thin-disk stars. Using stellar kinematics as a
proxy of stellar age, we show that younger stars have a higher wide-binary
fraction. We propose that multiple formation channels are responsible for the
metallicity and age dependence. In particular, the positive metallicity
correlation at Fe/H$<0$ and the age dependence may be due to the denser
formation environments and higher-mass clusters at earlier times. The negative
metallicity correlation at Fe/H$>0$ can be inherited from the similar
metallicity dependence of close binaries, although we cannot rule out the
possibility that radial migration may play a role in enhancing the wide-binary
fraction around the solar metallicity.
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