Phase-resolved spectroscopy of Type B quasi-periodic oscillations in GX 339-4

We present a new spectral-timing technique for phase-resolved spectroscopy and apply it to the low-frequency Type B quasi-periodic oscillation (QPO) from the black hole X-ray binary GX 339-4. We show that on the QPO time-scale the spectrum changes not only in normalization, but also in spectral shape. Using several different spectral models which parametrize the blackbody and power-law components seen in the time-averaged spectrum, we find that both components are required to vary, although the fractional rms amplitude of blackbody emission is small, ∼1.4 per cent compared to ∼25 per cent for the power-law emission. However, the blackbody variation leads the power-law variation by ∼0.3 in relative phase (∼110°), giving a significant break in the Fourier lag-energy spectrum that our phase-resolved spectral models are able to reproduce. Our results support a geometric interpretation for the QPO variations where the blackbody variation and its phase relation to the power-law are explained by quasi-periodic heating of the approaching and receding sides of the disc by a precessing Comptonizing region. The small amplitude of blackbody variations suggests that the Comptonizing region producing the QPO has a relatively large scaleheight, and may be linked to the base of the jet, as has previously been suggested to explain the binary orbit inclination-dependence of Type B QPO amplitudes.

[1]  O. Blaes,et al.  High-Frequency and Type-C QPOs from Oscillating, Precessing Hot, Thick Flow , 2016, 1602.08082.

[2]  Chris J. Skipper,et al.  Probing the hard and intermediate states of X-ray binaries using short time-scale variability , 2016, 1602.06792.

[3]  T. Maccarone,et al.  Detection of the first infra-red quasi-periodic oscillation in a black hole X-ray binary. , 2015, 1510.08907.

[4]  M. Axelsson,et al.  Revealing the nature of the QPO and its harmonic in GX 339-4 using frequency-resolved spectroscopy , 2015, 1506.01102.

[5]  R. M. Curado da Silva,et al.  XIPE: the X-ray imaging polarimetry explorer , 2013, Astronomical Telescopes + Instrumentation.

[6]  J. Miller,et al.  REAPPROACHING THE SPIN ESTIMATE OF GX 339-4 , 2015, 1505.05449.

[7]  M. Klis,et al.  Phase-resolved spectroscopy of low-frequency quasi-periodic oscillations in GRS 1915+105 , 2014, 1411.1967.

[8]  P. Uttley,et al.  Inclination-dependent spectral and timing properties in transient black hole X-ray binaries , 2014, 1405.2026.

[9]  P. Uttley,et al.  Power-Colours: Simple X-ray Binary Variability Comparison , 2014, 1405.2024.

[10]  M. Henze,et al.  Geometrical constraints on the origin of timing signals from black holes , 2014, 1404.7293.

[11]  P. Uttley,et al.  X-ray reverberation around accreting black holes , 2014, 1405.6575.

[12]  Z. Zhang,et al.  The type B QPO phenomena in the transient black hole candidate GX 339-4 , 2014 .

[13]  C. Done,et al.  An imperfect double: probing the physical origin of the low-frequency quasi-periodic oscillation and its harmonic in black hole binaries , 2013, 1307.4396.

[14]  Prasanth H. Nair,et al.  Astropy: A community Python package for astronomy , 2013, 1307.6212.

[15]  Max-Planck-Institut fuer extraterrestrische Physik,et al.  Inclination and relativistic effects in the outburst evolution of black hole transients , 2013, 1304.2072.

[16]  Jon Miller,et al.  A SWIFT SURVEY OF ACCRETION ONTO STELLAR-MASS BLACK HOLES , 2011, 1112.2249.

[17]  G. Jogesh Babu,et al.  Modern Statistical Methods for Astronomy: With R Applications , 2012 .

[18]  C. Done,et al.  The effect of frame dragging on the iron Kα line in X-ray binaries , 2012, 1208.0728.

[19]  M. Feroci,et al.  The Large Observatory for X-ray Timing (LOFT) , 2011, Other Conferences.

[20]  P. Casella,et al.  Low-frequency oscillations in black holes: a spectral-timing approach to the case of GX 339-4 , 2011, 1108.0540.

[21]  P. Uttley,et al.  The causal connection between disc and power-law variability in hard state black hole X-ray binaries , 2011, 1104.0634.

[22]  K. Nandra,et al.  The rapid X-ray variability of NGC 4051 , 2011, 1101.1802.

[23]  P. Uttley,et al.  Pulse-phase-resolved spectroscopy of continuum and reflection in SAX J1808.4-3658 , 2010, 1008.2708.

[24]  T. Belloni The Jet Paradigm , 2010 .

[25]  T. Belloni States and transitions in black-hole binaries , 2009, 0909.2474.

[26]  P. Chris Fragile,et al.  Low-frequency quasi-periodic oscillations spectra and Lense–Thirring precession , 2009 .

[27]  T. Belloni,et al.  Jets from black hole X-ray binaries: testing, refining and extending empirical models for the coupling to X-rays , 2009, 0903.5166.

[28]  R. Narayan,et al.  A Simple Comptonization Model , 2008, 0810.1758.

[29]  M. Gierliński,et al.  X-ray irradiation in XTE J1817−330 and the inner radius of the truncated disc in the hard state , 2008, 0803.0496.

[30]  J. Casares,et al.  On the masses and evolutionary status of the black hole binary GX 339-4: a twin system of XTE J1550-564? , 2008, 0801.3268.

[31]  M. iller,et al.  EVIDENCE FOR A LINK BETWEEN FE Kα EMISSION LINE STRENGTH AND QPO PHASE IN A BLACK HOLE , 2008 .

[32]  John D. Hunter,et al.  Matplotlib: A 2D Graphics Environment , 2007, Computing in Science & Engineering.

[33]  J. McClintock,et al.  X-Ray Properties of Black-Hole Binaries , 2006, astro-ph/0606352.

[34]  M. Sobolewska,et al.  Spectral and Fourier analyses of X-ray quasi-periodic oscillations in accreting black holes , 2006, astro-ph/0603024.

[35]  Jeroen Homan,et al.  A Precessing Ring Model for Low-Frequency Quasi-periodic Oscillations , 2005, astro-ph/0512595.

[36]  Carlos E. C. J. Gabriel,et al.  Astronomical Data Analysis Software and Systems Xv , 2022 .

[37]  M. Klis Comparing Black Hole and Neutron Star Variability , 2005 .

[38]  S. Markoff,et al.  Going with the Flow: Can the Base of Jets Subsume the Role of Compact Accretion Disk Coronae? , 2005, astro-ph/0509028.

[39]  W. Miller,et al.  Iron-Line Emission as a Probe of Bardeen-Petterson Accretion Disks , 2005, astro-ph/0507309.

[40]  NasaGsfc,et al.  On the Temperature Profile of Radiatively Efficient Geometrically Thin Disks in Black Hole Binaries with the ASCA GIS , 2005, astro-ph/0505338.

[41]  Usa,et al.  The evolution of the timing properties of the black-hole transient GX 339-4 during its 2002/2003 outburst , 2005, astro-ph/0504577.

[42]  P. Anninos,et al.  Hydrodynamic Simulations of Tilted Thick-Disk Accretion onto a Kerr Black Hole , 2004, astro-ph/0403356.

[43]  MIT,et al.  Evidence for a Link between Fe Kα Emission-Line Strength and Quasi-periodic Oscillation Phase in a Black Hole , 2005, astro-ph/0501371.

[44]  T. Belloni,et al.  A Unified Model for Black Hole X-Ray Binary Jets? , 2004, astro-ph/0506469.

[45]  U. Arizona,et al.  Spectra and time variability of Galactic black-hole X-ray sources in the low/hard state , 2004, astro-ph/0405569.

[46]  D. Steeghs,et al.  The Distance and Interstellar Sight Line to GX 339–4 , 2004, astro-ph/0402408.

[47]  K. Makishima,et al.  The Three Spectral Regimes Found in the Stellar Black Hole XTE J1550–564 in Its High/Soft State , 2003, astro-ph/0310085.

[48]  D. Steeghs,et al.  Dynamical Evidence for a Black Hole in GX 339–4 , 2003, astro-ph/0301127.

[49]  L. Titarchuk Rayleigh-Taylor Gravity Waves and Quasi-periodic Oscillation Phenomena in X-Ray Binaries , 2002, astro-ph/0211575.

[50]  T. Strohmayer Discovery of a Second High-Frequency Quasi-periodic Oscillation from the Microquasar GRS 1915+105 , 2001, astro-ph/0105338.

[51]  Eric Jones,et al.  SciPy: Open Source Scientific Tools for Python , 2001 .

[52]  R. McCray,et al.  Astrophysical Journal, in press Preprint typeset using L ATEX style emulateapj v. 26/01/00 ON THE ABSORPTION OF X-RAYS IN THE INTERSTELLAR MEDIUM , 2000 .

[53]  D. Psaltis,et al.  On the Origin of Quasi-Periodic Oscillations and Broad-band Noise in Accreting Neutron Stars and Black Holes , 2000, astro-ph/0001391.

[54]  A. Beloborodov Accretion Disk Models , 1999, astro-ph/9901108.

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

[56]  A. Fabian,et al.  High‐Energy Processes in Accreting Black Holes , 1998 .

[57]  R. Wijnands,et al.  Kilohertz Quasi-periodic Oscillation Peak Separation Is Not Constant in the Atoll Source 4U 1608–52 , 1998, astro-ph/9807281.

[58]  S. Chakrabarti Solutions of Two-Dimensional Viscous Accretion and Winds in Kerr Black Hole Geometry , 1996, astro-ph/9611020.

[59]  G. Ferland,et al.  Atomic data for astrophysics. II. New analytic fits for photoionization cross sections of atoms and ions , 1996, astro-ph/9601009.

[60]  F. Takahara,et al.  On the Spectral Hardening Factor of the X-Ray Emission from Accretion Disks in Black Hole Candidates , 1995 .

[61]  R. Wagoner,et al.  Diskoseismology: Probing Accretion Disks. I. Trapped Adiabatic Oscillations , 1991 .

[62]  Michael D. Geurts,et al.  Time Series Analysis: Forecasting and Control , 1977 .

[63]  M. Bartlett,et al.  An Introduction to Stochastic Processes. , 1956 .