Correlations in the Quasi-periodic Oscillation Frequencies of Low-Mass X-Ray Binaries and the Relativistic Precession Model

A remarkable correlation between the centroid frequencies of quasi-periodic oscillations (or peaked noise components) from low-mass X-ray binaries has been recently discovered by Psaltis, Belloni, & van der Klis. This correlation extends over nearly three decades in frequency and encompasses both neutron star and black hole candidate systems. We discuss this result in light of the relativistic precession model, which has been proposed to interpret the kilohertz quasi-periodic oscillations (QPOs) as well as some of the lower frequency QPOs of neutron star low-mass X-ray binaries of the atoll and Z classes. Unlike other models, the relativistic precession model does not require the compact object to be a neutron star and can be applied to black hole candidates as well. We show that the predictions of the relativistic precession model match both the value and dependence of the correlation to very good accuracy and without resorting to additional assumptions.

[1]  The mass of x-ray Nova Scorpii 1994 GRO J1655-40 , 1999, astro-ph/9901334.

[2]  E. Ford,et al.  Strong Correlation between Noise Features at Low Frequency and the KilohertzQuasi-Periodic Oscillations in the X-Ray Binary 4U 1728–34 , 1998, astro-ph/9808148.

[3]  P. Kaaret,et al.  Energy Spectra and High-Frequency Oscillations in 4U 0614+091 , 1997, astro-ph/9706100.

[4]  J. Shaham,et al.  Is GX5 – 1 a millisecond pulsar? , 1985, Nature.

[5]  Mario Vietri,et al.  KHZ QUASIPERIODIC OSCILLATIONS IN LOW-MASS X-RAY BINARIES AS PROBES OF GENERAL RELATIVITY IN THE STRONG-FIELD REGIME , 1998 .

[6]  M. Colpi,et al.  Neutron Stars with Submillisecond Periods: A Population of High-Mass Objects? , 1999, astro-ph/9904331.

[7]  D. Psaltis,et al.  Correlations in Quasi-periodic Oscillation and Noise Frequencies among Neutron Star and Black Hole X-Ray Binaries , 1999, astro-ph/9902130.

[8]  J. van Paradijs,et al.  The many faces of neutron stars , 1998 .

[9]  R. Wiringa,et al.  Equation of state for dense nucleon matter. , 1988, Physical review. C, Nuclear physics.

[10]  Mario Vietri,et al.  A New Instability of Accretion Disks around Magnetic Compact Stars , 1998 .

[11]  M. Klis,et al.  Rapid aperiodic variability in X-ray binaries , 1995 .

[12]  M. A. Alpar,et al.  Quasi-periodic oscillations in bright galactic-bulge X-ray sources , 1985, Nature.

[13]  S. Teukolsky,et al.  Spin-up of a rapidly rotating star by angular momentum loss , 1990 .

[14]  William H. Press,et al.  Rotating Black Holes: Locally Nonrotating Frames, Energy Extraction, and Scalar Synchrotron Radiation , 1972 .

[15]  J. Orosz,et al.  Optical Observations of GRO J1655–40 in Quiescence. I. A Precise Mass for the Black Hole Primary , 1996, astro-ph/9610211.

[16]  N. Stergioulas,et al.  Comparing models of rapidly rotating relativistic stars constructed by two numerical methods , 1994, astro-ph/9411032.

[17]  R. Wijnands,et al.  Discovery of an ~7 Hz Quasi-periodic Oscillation in the Low-Luminosity Low-Mass X-Ray Binary 4U 1820–30 , 1998, astro-ph/9812244.

[18]  Frederick K. Lamb,et al.  Sonic-Point Model of Kilohertz Quasi-periodic Brightness Oscillations in Low-Mass X-Ray Binaries , 1996, astro-ph/9609157.

[19]  W. Cui,et al.  EVIDENCE FOR FRAME-DRAGGING AROUND SPINNING BLACK HOLES IN X-RAY BINARIES , 1997, astro-ph/9710352.

[20]  L. Stella,et al.  Lense-Thirring Precession and QPOs in Low Mass X-Ray Binaries , 1999 .