On one-parametric formula relating the frequencies of twin-peak quasi-periodic oscillations

Abstract

Twin-peak quasi-periodic oscillations (QPOs) are observed in several low-mass X-ray binary systems containing neutron stars (NSs). Timing analysis of X-ray fluxes of more than dozen of such systems reveals remarkable correlations between the frequencies of two characteristic peaks present in the power density spectra. The individual correlations clearly differ, but they roughly follow a common individual pattern. High values of measured QPO frequencies and strong modulation of the X-ray flux both suggest that the observed correlations are connected to orbital motion in the innermost part of an accretion disc. Several attempts to model these correlations with simple geodesic orbital models or phenomenological relations have failed in the past. We find and explore a surprisingly simple analytic relation that reproduces individual correlations for a group of several sources through a single parameter. When an additional free parameter is considered within our relation, it well reproduces the data of a large group of 14 sources. The very existence and form of this simple relation supports the hypothesis of the orbital origin of QPOs and provides the key for further development of QPO models. We discuss a possible physical interpretation of our relation's parameters and their links to concrete QPO models.

arXiv comment6 pages, 2 figures, 1 table, accepted for publication in Monthly Notices of the Royal Astronomical Society: Letters

References in corpus (47)

• Millisecond Oscillations in X-Ray Binaries
• Sonic-Point Model of Kilohertz Quasi-Periodic Brightness Oscillations in Low-Mass X-ray Binaries
• 'Stable' QPOs and Black Hole Properties from Diskoseismology
• Non-linear resonance in nearly geodesic motion in low-mass X-ray binaries
• Boundary layer, accretion disk and X-ray variability in luminous LMXBs
• Oscillations of vertically integrated relativistic tori -- I. Axisymmetric modes in a Schwarzschild spacetime
• Kilohertz QPO Peak Separation Is Not Constant in Scorpius X-1
• Multi-resonance orbital model of high-frequency quasi-periodic oscillations: possible high-precision determination of black hole and neutron star spin
• A multi-Lorentzian timing study of the atoll sources 4U 0614+09 and 4U 1728-34
• An abrupt drop in the coherence of the lower kilohertz QPO in 4U 1636-536
• RXTE observations of the neutron star low-mass X-ray binary GX 17+2: correlated X-ray spectral and timing behavior
• The distribution of kHz QPO frequencies in bright LMXBs
• Non-linear resonance in the accretion disk of a millisecond pulsar
• The coherence of kHz quasi-periodic oscillations in the X-rays from accreting neutron stars
• Frequency resolved spectroscopy of Cyg X-1: fast variability of the reflected emission in the soft state
• The importance of discovering a 3:2 twin-peak QPO in a ULX or how to solve the puzzle of intermediate mass black holes
• On the tidal evolution of the orbits of low-mass satellites around black holes
• The power spectral properties of the Z-source GX 340+0
• Discovery of twin kHz QPOs in the peculiar X-ray binary Circinus X-1
• Low and high frequency variability as a function of spectral properties in the bright X-ray binary GX 5-1
• The MHD Alfven wave oscillation model of kHz Quasi Periodic Oscillations of Accreting X-ray Binaries
• On the maximum amplitude and coherence of the kilohertz quasi-periodic oscillations in low-mass X-ray binaries
• A physical interpretation of the variability power spectral components in accreting neutron stars
• The Beat-Frequency Interpretation of Kilohertz QPOs in Neutron Star Low-Mass X-ray Binaries
• High-Frequency and Type-C QPOs from Oscillating, Precessing Hot, Thick Flow
• On the Magnetospheric Beat-Frequency and Lense-Thirring Interpretations of the Horizontal Branch Oscillation in the Z Sources
• The correlations between the twin kHz QPO frequencies of LMXBs
• Discovery of kHz QPOs and shifted frequency correlations in the accreting millisecond pulsar XTE J1807--294
• On mass-constraints implied by the relativistic precession model of twin-peak quasi-periodic oscillations in Circinus X-1
• Epicyclic oscillations of fluid bodies Paper II. Strong gravity
• Higher order nonlinearity in accretion disks: QPOs of black hole and neutron star sources and their spin
• Universal scaling of the 3:2 twin-peak quasi-periodic oscillation frequencies with black hole mass and spin revisited
• Twin peak quasi-periodic oscillations as signature of oscillating cusp torus
• Studying Frequency Relations of kHz QPOs for 4U 1636-53 and Sco X-1: Observations Confront Theories
• On the Low and High Frequency Correlation in Quasi-Periodic Oscillations Among White Dwarfs, Neutron Star and Black Hole Binaries
• Drop of coherence of the lower kilo-Hz QPO in neutron stars: is there a link with the innermost stable circular orbit?
• An explanation for the kHz-QPO twin peaks separation in slow and fast rotators
• Mass-angular-momentum relations implied by models of twin peak quasi-periodic oscillations
• Reversal of the amplitude difference of kHz QPOs in six atoll sources
• Oscillations of tori in the pseudo-Newtonian potential
• Type I X-ray bursts, burst oscillations and kHz quasi-periodic oscillations in the neutron star system IGR J17191-2821
• Quasi-periodic oscillations from relativistic hydrodynamical slender tori
• The correlations and anticorrelations in QPO data
• Statistical properties of twin kHz QPO in neutron star LMXBs
• Relation between the properties of the kilohertz quasi-periodic oscillations and spectral parameters in 4U 1636$-$53
• Constraining models of twin peak quasi-periodic oscillations with realistic neutron star equations of state
• The kilo Hertz quasi-periodic oscillations in neutron star low-mass X-ray binaries as tori oscillation modes. I

Cited by in corpus (5)

• Timescale of twin-peak quasi-periodic oscillations and mass of accreting neutron stars
• Models of high-frequency quasi-periodic oscillations and black hole spin estimates in Galactic microquasars
• Epicyclic oscillations in the Hartle-Thorne external geometry
• Simple analytic formula relating the mass and spin of accreting compact objects to their rapid X-ray variability
• Lense-Thirring precession of neutron-star accretion flows: Relativistic versus classical precession