Two major constraints on the inner radii of accretion disks

Abstract

The Stefan-Boltzmann law yields a fundamental constraint on the geometry of inner accretion disks in black-hole X-ray binaries. It follows from considering the irradiating flux and the effective temperature of the inner parts of the disk, which implies that a strong quasi-thermal component with the average energy higher than that of a blackbody at the effective temperature has to be present whenever relativistic Fe K fluorescence and reflection features are observed. The apparent absence of such quasi-thermal component with the color temperature of $\sim$1 keV in high-luminosity hard states is not compatible with a strongly irradiated disk extending close to the innermost stable circular orbit. Instead, the disk should be either truncated at a relatively large radius or irradiated by a corona at a large height, which would reduce the effective temperature and bring it to an agreement with the data. We also study constraints on disk/corona models following from comparing the disk densities fitted in literature using variable-density reflection codes with those calculated by us from the ionization parameter, the luminosity and the disk inner radius. We find that the fitted densities are much higher/lower in the hard/soft state of binaries, implying significant problems with the used assumptions and methods.

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References in corpus (58)

• On the Absorption of X-rays in the Interstellar Medium
• Hot Accretion Flows Around Black Holes
• X-ray reflected spectra from accretion disk models. III. A complete grid of ionized reflection calculations
• The Two-Phase Pair Corona Model for Active Galactic Nuclei and X-ray Binaries: How to Obtain Exact Solutions
• Plasma Ejection from Magnetic Flares and the X-ray Spectrum of Cygnus X-1
• The evolutionary roads leading to low effective spins, high black hole masses, and O1/O2 rates of LIGO/Virgo binary black holes
• X-ray reflected spectra from accretion disk models. I. Constant density atmospheres
• The disc instability model for X-ray transients: evidence for truncation and irradiation
• The corona contracts in a black-hole transient
• Relativistic Accretion Disk Models of High State Black Hole X-ray Binary Spectra
• Discovery of a relation between black hole mass and soft X-ray time lags in active galactic nuclei
• X-ray reflection spectra from ionized slabs
• The causal connection between disc and power-law variability in hard state black hole X-ray binaries
• Correlations between X-ray and radio spectral properties of accreting black holes
• A quasi-periodic modulation of the iron line centroid energy in the black hole binary H 1743-322
• Normalizing a Relativistic Model of X-ray Reflection: The Definition of the Reflection Fraction and its Implementation in relxill
• X-ray Reflection Spectroscopy of the Black Hole GX 339-4: Exploring the Hard State with Unprecedented Sensitivity
• High-Density Effects in X-ray Reflection Models from Accretion Disks
• Non-LTE Models and Theoretical Spectra of Accretion Disks in Active Galactic Nuclei. IV. Effects of Compton Scattering and Metal Opacities
• Black hole accretion disks in the canonical low-hard state
• A systematic look at the Very High and Low/Hard state of GX 339-4: Constraining the black hole spin with a new reflection model
• Accretion disc variability in the hard state of black hole X-ray binaries
• Spectral and temporal properties of Compton scattering by mildly relativistic thermal electrons
• Alternative explanations for extreme supersolar iron abundances inferred from the energy spectrum of Cygnus X-1
• NuSTAR and Suzaku observations of the hard state in Cygnus X-1: locating the inner accretion disk
• X-ray reflection in accreting stellar-mass black hole systems
• NuSTAR and Swift observations of the very high state in GX 339-4: Weighing the black hole with X-rays
• High Density Reflection Spectroscopy: II. the Density of the Inner Black Hole Accretion Disc in AGN
• On the determination of the spin and disc truncation of accreting black holes using X-ray reflection
• The mass function of GX 339-4 from spectroscopic observations of its donor star
• The complex accretion geometry of GX 339-4 as seen by NuSTAR and Swift
• Broadband X-ray Spectra of GX 339-4 and the Geometry of Accreting Black Holes in the Hard State
• High Density Reflection Spectroscopy I. A case study of GX~339-4
• Inclination and relativistic effects in the outburst evolution of black hole transients
• Analysis of NuSTAR and Suzaku observations of Cyg X-1 in the hard state: evidence for a truncated disc geometry
• Doughnut strikes sandwich: the geometry of hot medium in accreting black hole X-ray binaries
• Spectral analysis of the XMM-Newton data of GX 339-4 in the low/hard state: disc truncation and reflection
• The soft component and the iron line as signatures of the disc inner radius in Galactic black hole binaries
• Self-Consistent Black Hole Accretion Spectral Models and the Forgotten Role of Coronal Comptonization of Reflection Emission
• The evolution of GX 339-4 in the low-hard state as seen by NuSTAR and Swift
• X-ray and gamma-ray spectra and variability of the black-hole candidate GX 339-4
• Reverberation Reveals the Truncated Disc in the Hard State of GX 339-4
• Events leading up to the June 2015 outburst of V404 Cyg
• On the lamppost model of accreting black holes
• Improved spectral models for relativistic reflection
• The X-ray binary GX 339-4/V821 Ara: the distance, inclination, evolutionary status and mass transfer
• Masses of the components of the HDE 226868/Cyg X-1 binary system
• Reflection Spectroscopy of the Black Hole Binary XTE J1752-223 in its Long-Stable Hard State
• The 2017 Failed Outburst of GX 339-4: Relativistic X-ray Reflection near the Black Hole Revealed by NuSTAR and Swift Spectroscopy
• A study of the strong gravity region of the black hole in GS 1354-645
• Tests of the Kerr hypothesis with GRS 1915+105 using different RELXILL flavors
• An X-ray reverberation mass measurement of Cygnus X-1
• Comparison of spectral models for disc truncation in the hard state of GX 339-4
• About the Kerr nature of the stellar-mass black hole in GRS 1915+105
• Exploring the radial disc ionization profile of the black hole X-ray binary GRS 1915+105
• Constraining the Johannsen deformation parameter ${\epsilon }_3$ with black hole X-ray data
• X-ray-binary spectra in the lamp post model
• Testing the Kerr metric using X-ray reflection spectroscopy: spectral analysis of GX 339-4

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• Towards precision measurements of accreting black holes using X-ray reflection spectroscopy
• Accretion Geometry in the Hard State of the Black-Hole X-Ray Binary MAXI J1820+070
• Reflection Modeling of the Black Hole Binary 4U~1630$-$47: the Disk Density and Returning Radiation
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• The hard to soft transition of GX 339-4 as seen by Insight-HXMT
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• High-density disc reflection spectroscopy of low-mass active galactic nuclei
• Models of Ultra-Luminous X-ray transient sources
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• Rapidly alternating flux states of GX 339-4 during its 2021 outburst captured by Insight-HXMT
• Magnetic field transport in compact binaries
• A multi-wavelength study of the hard and soft states of MAXI J1820+070 during its 2018 outburst
• The long-stable hard state of XTE J1752-223 and the disk truncation dilemma
• Proof of principle X-ray reflection mass measurement of the black hole in H1743-322
• Clumpy wind accretion in Cygnus X-1
• On measuring the Hubble constant with X-ray reverberation mapping of active galactic nuclei
• The inner flow geometry in MAXI J1820+070 during hard and hard-intermediate states
• Disk reflection and energetics from the accreting millisecond pulsar SRGA J144459.2-604207
• QPOs in compact binaries from small scale eruptions in an inner magnetized disk
• Spectral Energy Distribution profiles from AGN accretion disc in multi-gap setup
• Accretion Properties and Estimation of Spin of Galactic Black Hole Candidate Swift J1728.9-3613 with NuSTAR during its 2019 outburst
• Investigating the consistency of the shape and flux of X-ray reflection spectra in the hard state with an accretion disk reaching close to the black hole
• Tracking the evolution of the accretion flow in MAXI J1820+070 during its hard state with the JED-SAD model
• Interaction between disk and extended corona in a general relativistic framework