Frequency Correlation of QPOs Based on a Resonantly-Excited Disk-Oscillation Model

Abstract

In previous papers, we have proposed a model that the high-frequency quasi-periodic oscillations (HF QPOs) observed in black-hole and neutron-star X-ray binaries are inertial-acoustic oscillations that are resonantly excited on a one-armed deformed disk by nonlinear couplings between the oscillations and the disk deformation. In this paper we show that in addition to the inertial-acoustic waves, one-armed corrugation waves are also excited in the deformed disks. They are low-frequency oscillations. We examine frequencies and their correlations among the inertial-acoustic oscillations and the corrugation waves that are excited, in order to know whether they can describe observed frequency correlations among kHz QPOs and low-frequency QPOs (LF QPOs) in neutron-star X-ray binaries. The results seem to well describe the observed correlations in Cir X-1, if we adopt $M=1.5\sim 2.0M_{\odot }$ and $a_{\ast }\sim 0.8$, where $M$ is the mass of the central star and $a_{\ast }$ is the dimensionless spin parameter of the metric. Finally, assumptions involved in this disk-oscillation model are briefly summarized and discussed.

18 pages, 9 figures, to be published in PASJ Vol. 60 (2008),No 4 (August)

References in corpus (5)

• Discovery of twin kHz QPOs in the peculiar X-ray binary Circinus X-1
• Resonant Excitation of Disk Oscillations in Deformed Disks II: A Model of High Frequency QPOs
• Excitation of Low-Frequency QPOs in Black Hole Accretion Flows
• Frequency Correlations of QPOs Based on a Disk Oscillation Model in Warped Disks
• Spin of Stellar-Mass Black Holes Estimated by a Model of Quasi-Periodic Oscillations

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