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Wide hot subdwarf B (sdB) binaries with main-sequence companions are  outcomes of stable mass transfer from evolved red giants. The orbits of  these binaries show a strong correlation between their orbital periods  and mass ratios. The origins of this correlation have, so far, been  lacking a conclusive explanation. 
We have performed a small but  statistically significant binary population synthesis study with the  binary stellar evolution code MESA. We have used a standard model for  binary mass loss and a standard Galactic metallicity history.  We have  achieved an excellent match to the observed period - mass ratio  correlation without explicitly fine-tuning any parameters. Furthermore,  our models produce a good match to the observed period - metallicity  correlation. 
We demonstrate, for the first time, how the metallicity  history of the Milky Way is imprinted in the properties of the observed  post-mass transfer binaries. We show that Galactic chemical evolution  is an important factor in binary population studies of interacting  systems containing at least one evolved low-mass (Mi < 1.6 Msol)  component. Finally, we provide an observationally supported model of  mass transfer from low-mass red giants onto main-sequence stars.
Zoom link: https://rediris.zoom.us/j/98017007654