Abstract
ABSTRACT Most models of the low-frequency quasi-periodic oscillations (QPOs) in low-mass X-ray binaries (LMXBs) explain the dynamical properties of those QPOs. On the other hand, in recent years reverberation models that assume a lamp-post geometry have been successful in explaining the energy-dependent time lags of the broad-band noise component in stellar mass black holes and active galactic nuclei. We have recently shown that Comptonization can explain the spectral-timing properties of the kilo-hertz (kHz) QPOs observed in neutron star (NS) LMXBs. It is therefore worth exploring whether the same family of models would be as successful in explaining the low-frequency QPOs. In this work, we use a Comptonization model to study the frequency dependence of the phase lags of the type-C QPO in the BH LMXB GRS 1915+105. The phase lags of the QPO in GRS 1915+105 make a transition from hard to soft at a QPO frequency of around 1.8 Hz. Our model shows that at high QPO frequencies a large corona of ∼100–150 Rg covers most of the accretion disc and makes it $100{{\ \rm per\ cent}}$ feedback dominated, thus producing soft lags. As the observed QPO frequency decreases, the corona gradually shrinks down to around 3–17 Rg, and at 1.8 Hz feedback on to the disc becomes inefficient leading to hard lags. We discuss how changes in the accretion geometry affect the timing properties of the type-C QPO.
Highlights
Low frequency (LF) Quasi-Periodic Oscillations (QPOs) in stellarmass black hole binaries (BHB) have been known for many years
Karpouzas et al (2020) we showed that the model can fit the energydependent time lags and fractional rms amplitude of the kHz QPOs of the neutron star (NS) low-mass X-ray binaries (LMXBs), 4U 1636−53
Our results indicate that when the QPO frequency is below 1.8 Hz the size of the corona increases to values much larger than 130, the feedback efficiency decreases to values
Summary
Low frequency (LF) Quasi-Periodic Oscillations (QPOs) in stellarmass black hole binaries (BHB) have been known for many years (see reviews by Motta 2016 and Ingram & Motta 2020). These QPOs are distinct peaks in the Power Density Spectra (PDS) of X-ray light curves of these sources. Based on the strength of the underlying broad-band variability, centroid frequency, , and quality factor, = /Δ , where Δ is the full width at half maximum around the centroid frequency, LF QPOs are divided into three types, type-A, -B and -C (Casella et al 2004). For recent reviews of observations and theory of LF QPOs, we refer the reader to Done et al (2007), Motta (2016) and Ingram & Motta (2020)
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