Probing the hard and intermediate states of X-ray binaries using short time-scale variability

TL;DR

This study investigates the spectral states and short time-scale variability of X-ray binaries at low accretion rates, revealing distinct spectral components and behaviors across different sources and accretion regimes.

Contribution

It combines spectral fitting and variability analysis to identify two continuum components and characterize spectral transitions near a critical accretion rate in X-ray binaries.

Findings

Separate hard and soft spectral components identified in Cygnus X-1.

Spectral transition at m_crit observed in hardness-intensity diagrams.

Different brightness behaviors observed below and above m_crit.

Abstract

Below an accretion rate of approximately a few per cent of the Eddington accretion rate, X-ray binary systems are not usually found in the soft spectral state. However, at accretion rates a factor of a few lower still, in the hard state, there is another spectral transition which is well observed but not well understood. Below ~0.5-1 per cent of the Eddington accretion rate (m_crit), the spectral index hardens with increasing accretion rate, but above m_crit, although still in the hard state, the spectral index softens with increasing accretion rate. Here we use a combination of X-ray spectral fitting and a study of short time-scale spectral variability to examine the behaviour of three well-known X-ray binaries: Cygnus X-1, GX 339-4 and XTE J1118+480. In Cygnus X-1 we find separate hard and soft continuum components, and show using root-mean-square (rms) spectra that the soft component dominates the variability. The spectral transition at m_crit is clearly present in the hard-state hardness-intensity diagrams of Cygnus X-1. Above m_crit, GX 339-4 shows similar softer-when-brighter behaviour at both long and short time-scales. Similarly, XTE J1118+480, which remains well below m_crit, is harder-when-brighter behaviour on all time-scales. We interpret these results in terms of two continuum components: a hard power-law which dominates the spectra when the accretion rate is low, probably arising from Comptonisation of cyclo-synchrotron photons from the corona, and a soft power-law which dominates at higher accretion rates, arising from Comptonisation of seed photons from the accretion disc.