Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Pulsation regime of the thermonuclear explosion of a star's dense carbon core


The hydrodynamical problem of nuclear explosion of a dense carbon core of a star with mass 1.40M is solved numerically. In calculation the kinetics of carbon burning at the nuclear reaction C12+C12→M24+γ rate is included. Thus the inverse effect of hydrodynamical motion on the process of thermonuclear burning is taken into account, as compared with Bruenn's (1972) calculations. The calculations show that a pulsation regime of burning is realized (actually three pulses were obtained) which evolves to the detonation regime with full combustion and disruption of the star only at the third pulse. The effects of disintegration of iron group nuclei, neutronization of matter and neutrino losses in URCA processes have not yet been considered in calculations. The influence of initial conditions (mainly the temperature distributions) and the above mentioned effects, which have not been included in calculation, on the results of the hydrodynamical problem solution are discussed. The conclusion is made on new possibilities of formation of a gravitationally bound remnant of the explosion and a neutron star.

This is a preview of subscription content, log in to check access.


  1. Arnett, W. D.: 1966,Canad. J. Phys. 44, 2553.

  2. Arnett, W. D.: 1967,Canad. J. Phys. 45, 1621.

  3. Arnett, W. D.: 1969,Astrophys. Space Sci. 5, 180.

  4. Barkat, Z., Buchler, J.-R., and Wheeler, J. C.: 1970,Astrophys. Letters 6, 117.

  5. Barkat, Z., Buchler, J.-R., and Wheeler, J. C.: 1971,Astrophys. Letters 8, 21.

  6. Beaudet, G., Petrosian, V., and Salpeter, E. E.: 1967,Astrophys. J. 150, 979.

  7. Beaudet, G., Salpeter, E. E., and Silvestro, M. L.: 1972,Astrophys. J. 174, 79.

  8. Bisnovatyi-Kogan, G. S.: 1970,Astron. Zh. 47, 813.

  9. Bruenn, S. W.: 1971,Astrophys. J. 168, 203.

  10. Bruenn, S. W.: 1972,Astrophys. J. Suppl. 24, 283.

  11. Buchler, J.-R., Wheeler, J. C., and Barkat, Z.: 1971,Astrophys. J. 167, 465.

  12. Chechotkin, V. M.: 1969,Astron. Zh. 46, 202.

  13. Colgate, S. A. and White, R. H.: 1966,Astrophys. J. 143, 626.

  14. Fowler, W. A. and Hoyle, F.: 1967,Neytrinnyie processy i obrazovanyie par v massivnykh zvozdakh i sverkhnovyie, Mir, Moscow.

  15. Ikeuchi, S., Nakazawa, K., Murai, T., Hōshi, R., and Hayashi, C.: 1971,Progr. Theor. Phys. Japan 46, 1713.

  16. Ikeuchi, S., Nakazawa, K., Murai, T., Hōshi, R., and Hayashi, C.: 1972,Progr. Theor. Phys. Japan 48, 1870.

  17. Imshennik, V. S.: 1973, IAU Commission 35, Review ‘Stellar (and Solar) Neutrino’,Nauch. Inf. Astr. Soveta AN SSSR 25, 3.

  18. Imshennik, V. S. and Chechotkin, V. M.: 1970,Astron. Zh. 47, 929.

  19. Imshennik, V. S. and Nadyozhin, D. K.: 1965,Astron. Zh. 42, 1154.

  20. Ivanova, L. N., Imshennik, V. S., and Nadyozhin, D. K.: 1969,Nauch. Inf. Astr. Soveta AN SSSR 13 3.

  21. Korn, G. and Korn, T.: 1970,Spravochnik po matematike, Nauka, Moscow.

  22. Landau, L. D. and Lifshitz, E. M.: 1951,Statisticheskaya fiziki, GIT-TL, Moscow-Leningrad.

  23. Nadyozhin, D. K.: 1974,Nauch. Inf. Astr. Soveta AN SSSR 32 (in press).

  24. Nadyozhin, D. K. and Chechotkin, V. M.: 1969,Astron. Zh. 46, 270.

  25. Paczyński, B. E.: 1970,Acta Astron. 20, 47.

  26. Paczyński, B. E.: 1972,Astrophys. Letters 11, 53.

  27. Rose, W. K.: 1969,Astrophys. J. 155, 491.

  28. Salpeter, E. E.: 1954,Australian J. Phys. 7, 373.

  29. Salpeter, E. E. and Van Horn, H. M.: 1969,Astrophys. J. 155, 183.

  30. Tsuruta, S. and Cameron, A. G. W.: 1970,Astrophys. Space Sci. 7, 374.

  31. Wheeler, J. C. and Hansen, C. J.: 1971,Astrophys. Space Sci. 11, 373.

  32. Wilson, J. R. and Le Blanc, J. M.: 1970,Astrophys. J. 161, 541.

  33. Zel'dovich, Ya. B. and Novikov, I. D.: 1971,Teoriya tyagoteniya i evolyutsiya zvozd, Nauka, Moscow.

Download references

Author information

Additional information

Translated by Miss Eva Vokálová, Astronomical Institute, Charles University, Prague, ČSSR.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Ivanova, L.N., Imshennik, V.S. & Chechotkin, V.M. Pulsation regime of the thermonuclear explosion of a star's dense carbon core. Astrophys Space Sci 31, 497–514 (1974).

Download citation


  • Burning
  • Neutron Star
  • Nuclear Reaction
  • Problem Solution
  • Nuclear Explosion