The short-period limit of contact binaries

TL;DR

This paper investigates the formation and short-period limit of contact binaries, finding that mass transfer instability and a primary mass limit of about 0.63 solar masses explain the observed short-period cutoff of around 0.22 days.

Contribution

It introduces a theoretical explanation for the short-period limit of contact binaries based on mass transfer stability and primary mass constraints.

Findings

Low primary mass limit of about 0.63 solar masses for contact binaries.

Mass transfer instability leads to mergers below this mass limit.

The observed period cutoff of about 0.22 days aligns with the theoretical mass limit.

Abstract

The stability of mass transfer is important in the formation of contact binaries from detached binaries when the primaries of the initially detached binaries fill their Roche lobes. Using Eggleton's stellar evolution code, we investigate the formation and the short-period limit of contact binaries by considering the effect of the instability of mass transfer. It is found that with decreasing initial primary mass from 0.89M$_{\rm \odot}$ to 0.63M$_{\rm \odot}$, the range of the initial mass ratio decreases for detached binaries that experience stable mass transfer and evolve into contact. If the initial primary mass is less than 0.63M$_{\rm \odot}$, detached binaries would experience dynamically unstable mass transfer when the primaries of detached binaries fill their Roche lobes. These systems would evolve into a common envelope situation and probably then to a complete merger of two components on a quite short timescale. This results in a low mass limit at about 0.63M$_{\rm \odot}$ for the primary mass of contact binaries, which might be a main reason why the period distribution of contact binaries has a short limit of about 0.22 days. By comparing the theoretical period distribution of contact binaries with the observational data, it is found that the observed contact binaries are above the low mass limit for the primary mass of contact binaries and no observed contact binaries are below this limit. This suggests that the short-period limit of contact binaries can be explained by the instability of the mass transfer that occurs when the primaries of the initially detached binaries fill their Roche lobes.