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Abstract ▼ AI-Helper

A binary system, including a black hole, loses orbital angular momentum due to gravitational wave radiation, consequently, the separation decreases. Since the Roche radius is proportional to the separation, the Roche Lobe shrinks slowly. If the Roche radius equals the radius of the donor star, mass ...

A binary system, including a black hole, loses orbital angular momentum due to gravitational wave radiation, consequently, the separation decreases. Since the Roche radius is proportional to the separation, the Roche Lobe shrinks slowly. If the Roche radius equals the radius of the donor star, mass on the surface of the donor star moves toward the black hole. This process is called ‘Roche-Lobe Overflow’, and the mass transfer rate is determined by the structure and the size of the binary star. By considering the relation between the radius and the mass of the donor star and requiring that the Roche radius be equal to the radius of the donor star, we computed the mass transfer rate. For three types of donor stars, MS (main sequence star), WD (white dwarf), and NS (neutron star), we computed the mass transfer rate and the mass transfer time. We compared our results with X-ray binary and gamma-ray bursts that have been observed until now. Due to the short mass-transfer time scale and high mass-transfer rate, black hole - neutron star binaries can be a possible sources of short, hard gamma-ray bursts.

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