Abstract
Observations of X-ray binaries indicate substantial half-thicknesses for the accretion disks in these systems (up to h/R ≈ 0.25, where h is the disk half-thickness and R its radius), while standard α accretion disks predict appreciably smaller half-thicknesses. We study the theoretical vertical structure of such disks using two independent numerical methods, and show that their maximum half-thicknesses in the subcritical regime cannot exceed h/R ≈ 0.1. We consider various reasons for the apparent increase in the disk thickness, the most probable of which is the presence of matter above the disk in the form of a hot corona that scatters hard radiation from the central source and inner parts of the disk. As a result, the observed thickness of the disk and the illumination of its outer parts effectively increase. This mechanism can also explain both the optical-to-X-ray flux ratio in these systems and the observed parameters of eclipsing X-ray binaries.
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References
N. I. Shakura and R. A. Sunyaev, Astron. Astrophys. 24, 337 (1973).
S. Kato, J. Fukue, and S. Mineshige, Black-Hole Accretion Disks (Kyoto Univ. Press, Kyoto, Japan, 1998).
J. Frank, A. King, and D. J. Raine, Accretion Power in Astrophysics (Cambridge Univ. Press, Cambridge, UK, 2002).
F. Meyer and E. Meyer-Hofmeister, Astron. Astrophys. 104, L10 (1981).
J. Smak, Acta Astron. 34, 161 (1984).
J. K. Cannizzo, Accretion Disks in Compact Stellar Systems (1993), p. 6.
G. Dubus, J.-M. Hameury, and J.-P. Lasota, Astron. Astrophys. 373, 251 (2001).
G. V. Lipunova and N. I. Shakura, Astron. Astrophys. 356, 363 (2000).
G. V. Lipunova and N. I. Shakura, Astron. Zh. 79, 407 (2002) [Astron. Rep. 46, 366 (2002)].
F. Meyer and E. Meyer-Hofmeister, Astron. Astrophys. 106, 34 (1982).
G. Shaviv and R. Wehrse, Astron. Astrophys. 159, L5 (1986).
V. F. Suleĭmanov, Pis’ma Astron. Zh. 18, 255 (1992) [Sov. Astron. Lett. 18, 104 (1992)].
J.-M. Hameury, K. Menou, G. Dubus, et al., Mon. Not. R. Astron. Soc. 298, 1048 (1998).
G. Dubus, J.-P. Lasota, J.-M. Hameury, and P. Charles, Mon. Not. R. Astron. Soc. 303, 139 (1999).
N. A. Ketsaris and N. I. Shakura, Astron. Astrophys. Trans. 15, 193 (1998).
J. K. Cannizzo, Astrophys. J. 385, 94 (1992).
R. L. Kurucz, Atlas: A Computer Program for Calculating Model Stellar Etmospheres, SAO Special Report (Smithsonian Astrophys. Obs., Cambridge, 1970).
R. Kurucz, Kurucz CD-ROMs (Smithsonian Astrophys. Obs., Cambridge, 1993).
V. F. Suleĭmanov, Pis’ma Astron. Zh. 17, 575 (1991) [Sov. Astron. Lett. 17, 245 (1991)].
A. P. Lightman and D. M. Eardley, Astrophys. J. 187, L1 (1974).
N. Shibazaki and R. Hōshi, Progr. Theor. Phys. 54, 706 (1975).
N. I. Shakura and R. A. Sunyaev, Mon. Not. R. Astron. Soc. 175, 613 (1976).
A. V. Mescheryakov, R. A. Likhachev, and N. I. Shakura, Astron. Zh. (2007) (in preparation).
N. I. Shakura, Astron. Zh. 49, 921 (1972) [Sov. Astron. 16, 756 (1973)].
R. J. Tayler, Mon. Not. R. Astron. Soc. 191, 135 (1980).
N. Grevesse and E. Anders, in Cosmic Abundances of Matter, Ed. by C. J. Waddington (Am. Inst. Phys., 1989), AIP Conf. Proc. 183, 1.
Yu. É. Lyubarskiĭ and N. I. Shakura, Pis’ma Astron. Zh. 13, 917 (1987) [Sov. Astron. Lett. 13, 386 (1987)].
Ya. B. Zel’dovich and N. I. Shakura, Astron. Zh. 46, 225 (1969) [Sov. Astron. 13, 175 (1969)].
D. Mihalas, Stellar Atmospheres (Freeman, San Francisco, 1978; Mir, Moscow, 1982).
R. Narayan and J. E. McClintock, Astrophys. J. 623, 1017 (2005).
M. Milgrom, Astron. Astrophys. 67, L25 (1978).
J. E. McClintock, R. A. London, H. E. Bond, and A. D. Grauer, Astrophys. J. 258, 245 (1982).
Z. Ioannou, T. Naylor, A. P. Smale, P. A. Charles, and K. Mukai, Astron. Astrophys. 382, 130 (2002).
K. O’Brien, K. Horne, R. I. Hynes, et al., Mon. Not. R. Astron. Soc. 334, 426 (2002).
R. I. Hynes, in The Astrophysics of Cataclysmic Variables and Related Objects, Ed. by J.-M. Hameury and J.-P. Lasota (Astron. Soc. Pac., San Francisco, 2005a), Astron. Soc. Pac. Conf. Ser. 330, 237.
A. A. Esin, E. Kuulkers, J. E. McClintock, and R. Narayan, Astrophys. J. 532, 1069 (2000).
V. F. Suleimanov, G. V. Lipunova, and N. I. Shakura, in Proceedings of the 5th INTEGRAL Workshop on the INTEGRAL Universe, Ed. by V. Schoenfelder, G. Lichti, and C. Winkler (European Space Agency, 2004), ESA SP-552, p. 403.
R. Popham and R. Di Stefano, Accretion Disks in Supersoft X-ray Sources, Tech. Rep. Smithson. Astrophys. Obs. (Smithson. Astrophys. Obs., Cambridge, 1996).
S. Schandl, E. Meyer-Hofmeister, and F. Meyer, Astron. Astrophys. 318, 73 (1997).
J. A. de Jong, J. van Paradijs, and T. Augusteijn, Astron. Astrophys. 314, 484 (1996).
M. Gilfanov and V. Arefiev, astro-ph/0501215 (2005).
Ü. Ertan and M. A. Alpar, Astron. Astrophys. 393, 205 (2002).
A. R. King and H. Ritter, Mon. Not. R. Astron. Soc. 293, L42 (1998).
V. Suleimanov, F. Meyer, and E. Meyer-Hofmeister, Astron. Astrophys. 350, 63 (1999).
N. G. Bochkarev, R. A. Syunyaev, T. S. Khruzina, et al., Astron. Zh. 65, 778 (1988) [Sov. Astron. 32, 405 (1988)].
J. Fukue, Publ. Aston. Soc. Jpn. 44, 663 (1992).
C. T. Cunningham, Astrophys. J. 202, 788 (1975).
S. Chandrasekhar, Radiative Transfer (Dover, New York, 1960; Inostrannaya Literatura, Moscow, 1953).
A. Laor, H. Netzer, and T. Piran, Mon. Not. R. Astron. Soc. 242, 560 (1990).
R. I. Hynes, Astrophys. J. 623, 1026 (2005b).
M. A. Jimenez-Garate, J. C. Raymond, and D. A. Liedahl, Astrophys. J. 581, 1297 (2002).
M. C. Begelman and C. F. McKee, Astrophys. J. 271, 89 (1983).
M. de Kool and D. Wickramasinghe, Mon. Not. R. Astron. Soc. 307, 449 (1999).
A. Rózańska and B. Czerny, Astron. Astrophys. 360, 1170 (2000).
F. Meyer, B. F. Liu, and E. Meyer-Hofmeister, Astron. Astrophys. 361, 175 (2000).
K. A. Miller and J. M. Stone, Astrophys. J. 534, 398 (2000).
J. M. Miller, J. Raymond, A. Fabian, et al., Nature 441, 953 (2006).
J. Frank, A. R. King, and J.-P. Lasota, Astron. Astrophys. 178, 137 (1987).
P. J. Armitage and M. Livio, Astrophys. J. 470, 1024 (1996).
D. V. Bisikalo, P. V. Kaĭgorodov, A. A. Boyarchuk, and O. A. Kuznetsov, Astron. Rep. 49, 701 (2005).
V. Suleimanov, F. Meyer, and E. Meyer-Hofmeister, Astron. Astrophys. 401, 1009 (2003).
N. I. Shakura, N. A. Ketsaris, M. E. Prokhorov, and K. A. Postnov, Mon. Not. R. Astron. Soc. 300, 992 (1998).
J. M. Bardeen and J. A. Petterson, Astrophys. J. 195, L65 (1975).
J. A. Petterson, Astrophys. J. 216, 827 (1977).
J. E. Pringle, Mon. Not. R. Astron. Soc. 281, 357 (1996).
G. I. Ogilvie and G. Dubus, Mon. Not. R. Astron. Soc. 320, 485 (2001).
S. H. Lubow, G. I. Ogilvie, and J. E. Pringle, Mon. Not. R. Astron. Soc. 337, 706 (2002).
R. Speith, H. Riffert, and H. Ruder, Comput. Phys. Commun. 88, 109 (1995).
K. A. Arnaud, in: Astronomical Data Analysis Software and Systems V, Ed. by G. H. Jacoby and J. Barnes (Astron. Soc. Pac., San Francisco, 1996), Astron. Soc. Pac. Conf. Ser. 101, 17.
L.-X. Li, E. R. Zimmerman, R. Narayan, and J. E. McClintock, Astrophys. J., Suppl. Ser. 157, 335 (2005).
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Original Russian Text © V.F. Suleimanov, G.V. Lipunova, N.I. Shakura, 2007, published in Astronomicheskiĭ Zhurnal, 2007, Vol. 84, No. 7, pp. 612–626.
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Suleimanov, V.F., Lipunova, G.V. & Shakura, N.I. The thickness of accretion α-disks: Theory and observations. Astron. Rep. 51, 549–562 (2007). https://doi.org/10.1134/S1063772907070049
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DOI: https://doi.org/10.1134/S1063772907070049