Maximum Mass Ratio of AM CVn-Type Binary Systems and Maximum White Dwarf Mass in Ultra-Compact X-Ray Binaries

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Binaries: Close, Gravitational Waves, White Dwarfs

Scientific paper

AM CVn-type stars and ultra-compact X-ray binaries are extremely interesting semi-detached close binary systems in which the Roche lobe filling component is a white dwarf transferring mass to another white dwarf, neutron star or a black hole. Earlier theoretical considerations show that there is a maximum mass ratio of AM CVn-type binary systems (q_{max} ≈ 2/3) below which the mass transfer is stable. In this paper we derive slightly different value for q_{max} and more interestingly, by applying the same procedure, we find the maximum expected white dwarf mass in ultra-compact X-ray binaries.

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