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The thickness of accretion α-disks: Theory and observations

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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

  1. N. I. Shakura and R. A. Sunyaev, Astron. Astrophys. 24, 337 (1973).

    ADS  Google Scholar 

  2. S. Kato, J. Fukue, and S. Mineshige, Black-Hole Accretion Disks (Kyoto Univ. Press, Kyoto, Japan, 1998).

    Google Scholar 

  3. J. Frank, A. King, and D. J. Raine, Accretion Power in Astrophysics (Cambridge Univ. Press, Cambridge, UK, 2002).

    Google Scholar 

  4. F. Meyer and E. Meyer-Hofmeister, Astron. Astrophys. 104, L10 (1981).

    ADS  Google Scholar 

  5. J. Smak, Acta Astron. 34, 161 (1984).

    ADS  Google Scholar 

  6. J. K. Cannizzo, Accretion Disks in Compact Stellar Systems (1993), p. 6.

  7. G. Dubus, J.-M. Hameury, and J.-P. Lasota, Astron. Astrophys. 373, 251 (2001).

    Article  ADS  Google Scholar 

  8. G. V. Lipunova and N. I. Shakura, Astron. Astrophys. 356, 363 (2000).

    ADS  Google Scholar 

  9. G. V. Lipunova and N. I. Shakura, Astron. Zh. 79, 407 (2002) [Astron. Rep. 46, 366 (2002)].

    Google Scholar 

  10. F. Meyer and E. Meyer-Hofmeister, Astron. Astrophys. 106, 34 (1982).

    ADS  Google Scholar 

  11. G. Shaviv and R. Wehrse, Astron. Astrophys. 159, L5 (1986).

    ADS  Google Scholar 

  12. V. F. Suleĭmanov, Pis’ma Astron. Zh. 18, 255 (1992) [Sov. Astron. Lett. 18, 104 (1992)].

    ADS  Google Scholar 

  13. J.-M. Hameury, K. Menou, G. Dubus, et al., Mon. Not. R. Astron. Soc. 298, 1048 (1998).

    Article  ADS  Google Scholar 

  14. G. Dubus, J.-P. Lasota, J.-M. Hameury, and P. Charles, Mon. Not. R. Astron. Soc. 303, 139 (1999).

    Article  ADS  Google Scholar 

  15. N. A. Ketsaris and N. I. Shakura, Astron. Astrophys. Trans. 15, 193 (1998).

    Article  ADS  Google Scholar 

  16. J. K. Cannizzo, Astrophys. J. 385, 94 (1992).

    Article  ADS  Google Scholar 

  17. R. L. Kurucz, Atlas: A Computer Program for Calculating Model Stellar Etmospheres, SAO Special Report (Smithsonian Astrophys. Obs., Cambridge, 1970).

    Google Scholar 

  18. R. Kurucz, Kurucz CD-ROMs (Smithsonian Astrophys. Obs., Cambridge, 1993).

    Google Scholar 

  19. V. F. Suleĭmanov, Pis’ma Astron. Zh. 17, 575 (1991) [Sov. Astron. Lett. 17, 245 (1991)].

    ADS  Google Scholar 

  20. A. P. Lightman and D. M. Eardley, Astrophys. J. 187, L1 (1974).

    Article  ADS  Google Scholar 

  21. N. Shibazaki and R. Hōshi, Progr. Theor. Phys. 54, 706 (1975).

    Article  ADS  Google Scholar 

  22. N. I. Shakura and R. A. Sunyaev, Mon. Not. R. Astron. Soc. 175, 613 (1976).

    ADS  Google Scholar 

  23. A. V. Mescheryakov, R. A. Likhachev, and N. I. Shakura, Astron. Zh. (2007) (in preparation).

  24. N. I. Shakura, Astron. Zh. 49, 921 (1972) [Sov. Astron. 16, 756 (1973)].

    ADS  Google Scholar 

  25. R. J. Tayler, Mon. Not. R. Astron. Soc. 191, 135 (1980).

    ADS  Google Scholar 

  26. N. Grevesse and E. Anders, in Cosmic Abundances of Matter, Ed. by C. J. Waddington (Am. Inst. Phys., 1989), AIP Conf. Proc. 183, 1.

  27. Yu. É. Lyubarskiĭ and N. I. Shakura, Pis’ma Astron. Zh. 13, 917 (1987) [Sov. Astron. Lett. 13, 386 (1987)].

    ADS  Google Scholar 

  28. Ya. B. Zel’dovich and N. I. Shakura, Astron. Zh. 46, 225 (1969) [Sov. Astron. 13, 175 (1969)].

    ADS  Google Scholar 

  29. D. Mihalas, Stellar Atmospheres (Freeman, San Francisco, 1978; Mir, Moscow, 1982).

    Google Scholar 

  30. R. Narayan and J. E. McClintock, Astrophys. J. 623, 1017 (2005).

    Article  ADS  Google Scholar 

  31. M. Milgrom, Astron. Astrophys. 67, L25 (1978).

    ADS  Google Scholar 

  32. J. E. McClintock, R. A. London, H. E. Bond, and A. D. Grauer, Astrophys. J. 258, 245 (1982).

    Article  ADS  Google Scholar 

  33. Z. Ioannou, T. Naylor, A. P. Smale, P. A. Charles, and K. Mukai, Astron. Astrophys. 382, 130 (2002).

    Article  ADS  Google Scholar 

  34. K. O’Brien, K. Horne, R. I. Hynes, et al., Mon. Not. R. Astron. Soc. 334, 426 (2002).

    Article  ADS  Google Scholar 

  35. 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.

    Google Scholar 

  36. A. A. Esin, E. Kuulkers, J. E. McClintock, and R. Narayan, Astrophys. J. 532, 1069 (2000).

    Article  ADS  Google Scholar 

  37. 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.

  38. R. Popham and R. Di Stefano, Accretion Disks in Supersoft X-ray Sources, Tech. Rep. Smithson. Astrophys. Obs. (Smithson. Astrophys. Obs., Cambridge, 1996).

    Book  Google Scholar 

  39. S. Schandl, E. Meyer-Hofmeister, and F. Meyer, Astron. Astrophys. 318, 73 (1997).

    ADS  Google Scholar 

  40. J. A. de Jong, J. van Paradijs, and T. Augusteijn, Astron. Astrophys. 314, 484 (1996).

    ADS  Google Scholar 

  41. M. Gilfanov and V. Arefiev, astro-ph/0501215 (2005).

  42. Ü. Ertan and M. A. Alpar, Astron. Astrophys. 393, 205 (2002).

    Article  ADS  Google Scholar 

  43. A. R. King and H. Ritter, Mon. Not. R. Astron. Soc. 293, L42 (1998).

    Article  ADS  Google Scholar 

  44. V. Suleimanov, F. Meyer, and E. Meyer-Hofmeister, Astron. Astrophys. 350, 63 (1999).

    ADS  Google Scholar 

  45. N. G. Bochkarev, R. A. Syunyaev, T. S. Khruzina, et al., Astron. Zh. 65, 778 (1988) [Sov. Astron. 32, 405 (1988)].

    ADS  Google Scholar 

  46. J. Fukue, Publ. Aston. Soc. Jpn. 44, 663 (1992).

    ADS  Google Scholar 

  47. C. T. Cunningham, Astrophys. J. 202, 788 (1975).

    Article  ADS  Google Scholar 

  48. S. Chandrasekhar, Radiative Transfer (Dover, New York, 1960; Inostrannaya Literatura, Moscow, 1953).

    Google Scholar 

  49. A. Laor, H. Netzer, and T. Piran, Mon. Not. R. Astron. Soc. 242, 560 (1990).

    ADS  Google Scholar 

  50. R. I. Hynes, Astrophys. J. 623, 1026 (2005b).

    Article  ADS  Google Scholar 

  51. M. A. Jimenez-Garate, J. C. Raymond, and D. A. Liedahl, Astrophys. J. 581, 1297 (2002).

    Article  ADS  Google Scholar 

  52. M. C. Begelman and C. F. McKee, Astrophys. J. 271, 89 (1983).

    Article  ADS  Google Scholar 

  53. M. de Kool and D. Wickramasinghe, Mon. Not. R. Astron. Soc. 307, 449 (1999).

    Article  ADS  Google Scholar 

  54. A. Rózańska and B. Czerny, Astron. Astrophys. 360, 1170 (2000).

    ADS  Google Scholar 

  55. F. Meyer, B. F. Liu, and E. Meyer-Hofmeister, Astron. Astrophys. 361, 175 (2000).

    ADS  Google Scholar 

  56. K. A. Miller and J. M. Stone, Astrophys. J. 534, 398 (2000).

    Article  ADS  Google Scholar 

  57. J. M. Miller, J. Raymond, A. Fabian, et al., Nature 441, 953 (2006).

    Article  ADS  Google Scholar 

  58. J. Frank, A. R. King, and J.-P. Lasota, Astron. Astrophys. 178, 137 (1987).

    ADS  Google Scholar 

  59. P. J. Armitage and M. Livio, Astrophys. J. 470, 1024 (1996).

    Article  ADS  Google Scholar 

  60. D. V. Bisikalo, P. V. Kaĭgorodov, A. A. Boyarchuk, and O. A. Kuznetsov, Astron. Rep. 49, 701 (2005).

    Article  ADS  Google Scholar 

  61. V. Suleimanov, F. Meyer, and E. Meyer-Hofmeister, Astron. Astrophys. 401, 1009 (2003).

    Article  ADS  Google Scholar 

  62. N. I. Shakura, N. A. Ketsaris, M. E. Prokhorov, and K. A. Postnov, Mon. Not. R. Astron. Soc. 300, 992 (1998).

    ADS  Google Scholar 

  63. J. M. Bardeen and J. A. Petterson, Astrophys. J. 195, L65 (1975).

    Article  ADS  Google Scholar 

  64. J. A. Petterson, Astrophys. J. 216, 827 (1977).

    Article  ADS  Google Scholar 

  65. J. E. Pringle, Mon. Not. R. Astron. Soc. 281, 357 (1996).

    ADS  Google Scholar 

  66. G. I. Ogilvie and G. Dubus, Mon. Not. R. Astron. Soc. 320, 485 (2001).

    Article  ADS  Google Scholar 

  67. S. H. Lubow, G. I. Ogilvie, and J. E. Pringle, Mon. Not. R. Astron. Soc. 337, 706 (2002).

    Article  ADS  Google Scholar 

  68. R. Speith, H. Riffert, and H. Ruder, Comput. Phys. Commun. 88, 109 (1995).

    Article  ADS  Google Scholar 

  69. 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.

    Google Scholar 

  70. L.-X. Li, E. R. Zimmerman, R. Narayan, and J. E. McClintock, Astrophys. J., Suppl. Ser. 157, 335 (2005).

    Article  ADS  Google Scholar 

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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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