Mass estimate of the XTE J1650-500 black hole from the Extended Orbital Resonance Model for high-frequency QPOs

Abstract

XTE J1650-500 is a Galactic black-hole binary system for which at least one high-frequency QPO at 250Hz was reported. Moreover there are indications that the system harbours a near-extreme Kerr black-hole with the spin near 0.998 and mass M<7.3M_sun. Recently it was discovered that the orbital 3-velocity of Keplerian (geodesical) discs orbiting Kerr black holes with the spin a>0.9953, being analyzed in the locally non-rotating frames, reveals a hump near the marginally stable orbit. Further it was suggested that the hump could excite the epicyclic motion of particles near the ISCO with frequencies typical for high-frequency QPOs. Characteristic frequency of the hump-induced oscillations was defined as the maximal positive rate of change of the LNRF-related orbital velocity with the proper radial distance. If the characteristic "humpy frequency" and the radial epicyclic frequency are commensurable, strong resonant phenomena are expected. For the Kerr black hole with the spin a=0.9982 the "humpy frequency" and the radial epicyclic frequency are in ratio 1:3. Identifying the radial epicyclic frequency with the observed 250Hz QPO, we get the mass of the black hole in XTE J1650-500 near 5.1M_sun.

arXiv comment5 pages; accepted for publication in A&A

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• Confronting the models of 3:2 quasiperiodic oscillations with the rapid spin of the microquasar GRS 1915+105
• Primordial Black Holes as Silver Bullets for New Physics at the Weak Scale
• Chaotic and stochastic processes in the accretion flows of the black hole X-ray binaries revealed by recurrence analysis
• Disentangling the NIR/optical emission of the black hole XTE J1650-500 during outburst
• Non-monotonic Keplerian velocity profiles around near-extreme braneworld Kerr black holes
• Low Frequency Quasi Periodic Oscillations and Shocks in Accretion onto Black Hole
• Searching for quantum-gravity footprint around stellar-mass black holes
• Curled orbit and epicyclic oscillation of charged particles around the weakly magnetized black hole in the presence of Lorentz violation
• Smearing of mass accretion rate variation by viscous processes in accretion disks in compact binary systems