# Inferred timescales for common envelope ejection using wide astrometric companions

## TL;DR

This study uses Gaia data to analyze wide companions of post-common envelope binaries, providing insights into the timescales of envelope ejection processes, with implications for understanding binary evolution mechanisms.

## Contribution

It offers the first observational constraints on common envelope ejection timescales by examining the disruption of ultra-wide companions in post-CEE systems.

## Key findings

- Ultra-wide companion fraction is lower in sdBs compared to progenitors.
- Distribution of separations supports rapid, prompt mass loss (~100 years).
- Longer timescales (~10,000 years) suggested for cataclysmic variables.

## Abstract

Evolution of close binaries often proceeds through the common envelope stage. The physics of the envelope ejection (CEE) is not yet understood, and several mechanisms were suggested to be involved. These could give rise to different timescales for the CEE mass-loss. In order to probe the CEE-timescales we study wide companions to post-CE binaries. Faster mass-loss timescales give rise to higher disruption rates of wide binaries and result in larger average separations. We make use of data from Gaia DR2 to search for ultra-wide companions (projected separations $10^3$-$2\times 10^5$ a.u. and $M_2 > 0.4$ M$_\odot$) to several types of post-CEE systems, including sdBs, white-dwarf post-common binaries, and cataclysmic variables. We find a (wide-orbit) multiplicity fraction of $1.4\pm 0.2$ per cent for sdBs to be compared with a multiplicity fraction of $5.0\pm 0.2$ per cent for late-B/A/F stars which are possible sdB progenitors. The distribution of projected separations of ultra-wide pairs to main sequence stars and sdBs differs significantly and is compatible with prompt mass loss (upper limit on common envelope ejection timescale of $10^2$ years). The smaller statistics of ultra-wide companions to cataclysmic variables and post-CEE binaries provide weaker constraints. Nevertheless, the survival rate of ultra-wide pairs to the cataclysmic variables suggest much longer, $\sim10^4$ years timescales for the CEE in these systems, possibly suggesting non-dynamical CEE in this regime.