Twin Binaries: Studies of Stability, Mass Transfer, and Coalescence
James C. Lombardi Jr., William Holtzman, Katherine L. Dooley, Kyle, Gearity, Vassiliki Kalogera, Frederic A. Rasio

TL;DR
This study investigates the stability, mass transfer, and coalescence processes of twin binaries with identical components, revealing different behaviors based on core mass and implications for neutron star formation and planetary nebulae.
Contribution
It provides new insights into the stability limits and coalescence mechanisms of twin binaries with various core masses, extending understanding of their evolutionary outcomes.
Findings
Secular and dynamical instabilities occur in low-core-mass twin binaries during contact.
High-core-mass twin giants can maintain stable contact down to the Roche limit.
Coalescence often results from mass transfer instabilities and outer Lagrangian point mass shedding.
Abstract
Motivated by suggestions that binaries with almost equal-mass components ("twins") play an important role in the formation of double neutron stars and may be rather abundant among binaries, we study the stability of synchronized close and contact binaries with identical components in circular orbits. In particular, we investigate the dependency of the innermost stable circular orbit on the core mass, and we study the coalescence of the binary that occurs at smaller separations. For twin binaries composed of convective main-sequence stars, subgiants, or giants with low mass cores (M_c <~0.15M, where M is the mass of a component), a secular instability is reached during the contact phase, accompanied by a dynamical mass transfer instability at the same or at a slightly smaller orbital separation. Binaries that come inside this instability limit transfer mass gradually from one component…
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