Abstract
We have investigated the influence of X-ray irradiation on the vertical structure of the outer accretion disk in low-mass X-ray binaries by performing a self-consistent calculation of the vertical structure and X-ray radiation transfer in the disk. Penetrating deep into the disk, the field of scattered X-ray photons with energy E ≳ 10 keV exerts a significant influence on the vertical structure of the accretion disk at a distance R ≳ 1010 cm from the neutron star. At a distance R ∼ 1011 cm, where the total surface density in the disk reaches Σ0 ∼ 20 g cm−2, X-ray heating affects all layers of an optically thick disk. The X-ray heating effect is enhanced significantly in the presence of an extended atmospheric layer with a temperature T atm ≈ (2–3) × 106 K above the accretion disk. We have derived simple analytic formulas for the disk heating by scattered X-ray photons using an approximate solution of the transfer equation by the Sobolev method. This approximation has a ≲10% accuracy in the range of X-ray photon energies E < 20 keV.
Similar content being viewed by others
References
C. W. Allen, Astrophysical Quantities (Athlone Press, Univ. London, 1973).
N. R. Badnell, M. A. Bautista, K. Butler, et al., Mon. Not. R. Astron. Soc. 360, 458 (2005).
P. B. Bosma and W. A. Rooij, Astron. Astrophys. 126, 283 (1983).
S. Chandrasekhar, Radiative Transfer (Clarendon, Oxford, 1950).
G. Dubus, J.-P. Lasota, J.-M. Hameury, and P. Charles, Mon. Not. R. Astron. Soc. 303, 139 (1999).
A. A. Esin, E. Kuulkers, J. E. McClintock, and R. Narayan, Astrophys. J. 532, 1069 (2000).
M. Gilfanov and V. Arefyev, astro-ph/0501215 (2005).
M. A. Jimenez-Garate, J. C. Raymond, and D. A. Liedahl, Astrophys. J. 581, 1297 (2002).
J. de Jong, J. van Paradijs, and T. Augusteijn, Astron. Astrophys. 314, 484 (1996).
Y.-K. Ko and T. R. Kallman, Astrophys. J. 431, 273 (1994).
Q. Z. Liu, J. van Paradijs, and E. P. J. van den Heuvel, Astron. Astrophys. 368, 1021 (2001).
V.M. Lyutyi and R. A. Sunyaev, Sov. Astron. 20, 290 (1976).
F. Meyer and E. Meyer-Hofmeister, Astron. Astrophys. 106, 34 (1982).
R. Morrison and D. McCammon, Astrophys. J. 270, 119 (1983).
D. I. Nagirner, Lectures on the Theory of Radiative Transfer (SPb. Univ., St. Petersburg, 2001) [in Russian].
L. A. Pozdnyakov, I. M. Sobol, and R. A. Syunyaev, Astrophys. Space Phys. Rev. 2, 189 (1983).
W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in FORTRAN. The Art of Scientific Computing (Cambridge Univ., Cambridge, 1992).
D. Psaltis, Astrophys. J. 574, 306 (2002).
J. C. Raymond, Astrophys. J. 412, 267 (1993).
N. I. Shakura and R. A. Sunyaev, Astron. Astrophys. 24, 337 (1973).
V. V. Sobolev, Radiative Energy Transfer in Stellar and Planetary Atmospheres (GITTL, Moscow, 1956) [in Russian].
V. V. Sobolev, Sov. Astron. 12, 420 (1968).
V. Suleimanov, F. Meyer, and E. Meyer-Hofmeister, Astron. Astrophys. 350, 63 (1999).
V. Suleimanov, F. Meyer, and E. Meyer-Hofmeister, Astron. Astrophys. 401, 1009 (2003).
V. F. Suleimanov, G. V. Lipunova, and N. I. Shakura, Astron. Rep. 51, 549 (2007).
V. F. Suleimanov, G. V. Lipunova, and N. I. Shakura, Astron. Astrophys. 491, 267 (2008).
Y. Tuchman, S. Mineshige, and J. C. Wheeler, Astrophys. J. 359, 164 (1990).
S. D. Vrtilek, J. C. Raymond, M. R. Garcia, et al., Astron. Astrophys. 235, 162 (1990).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.V. Mescheryakov, N.I. Shakura, V.F. Suleimanov, 2011, published in Pis’ma v Astronomicheskiĭ Zhurnal, 2011, Vol. 37, No. 5, pp. 343–364.
Rights and permissions
About this article
Cite this article
Mescheryakov, A.V., Shakura, N.I. & Suleimanov, V.F. Vertical structure of the outer accretion disk in persistent low-mass X-ray binaries. Astron. Lett. 37, 311–331 (2011). https://doi.org/10.1134/S1063773711050045
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063773711050045