Astrophysics and Space Science

, Volume 7, Issue 3, pp 374–406 | Cite as

URCA shells in dense stellar interiors

  • Sachiko Tsuruta
  • A. G. W. Cameron


Thermal and vibrational energy losses due to URCA shells in stellar interiors are calculated. Analytic expressions are derived for semidegenerate, relativistic electrons. Results are given for more general cases calculated with a computer. The calculations are carried out for a large number of nuclei that may contribute to URCA energy losses in various stages of stellar evolution. An illustration is given of the cooling and vibrational damping of a white dwarf. For a central Fermi energy ≳5 MeV, the internal temperature of the star should be reduced to the order of 106 K and the relative vibrational amplitude should be reduced to the order of 10−5 on a time scale of 109 yr. URCA shells are present, the URCA neutrino energy loss dominates in the temperature region up to about 2×109 K.


Energy Loss Temperature Region Fermi Energy Relativistic Electron Vibrational Energy 
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  1. Arnett, W. D.: 1969,Astrophys. Space Sci. 5, 180.Google Scholar
  2. Arnett, W. D. and Truran, J. W.: 1969, private communication.Google Scholar
  3. Bahcall, J. N.: 1962,Phys. Rev. 126, 1143.Google Scholar
  4. Bahcall, J. N.: 1964,Astrophys. J. 139, 318.Google Scholar
  5. Beaudet, G., Petrosian, V., and Salpeter, E. E.: 1967,Astrophys. J. 150, 979.Google Scholar
  6. Brush, S. G., Sahlin, H. L., and Teller, E.: 1966,J. Chem. Phys. 45, 2102.Google Scholar
  7. Cohen, J. M., Lapidus, A. and Cameron, A. G. W.: 1969,Astrophys. Space Sci. 5, 113.Google Scholar
  8. Feenberg, E. and Trigg, G.: 1950,Revs. Mod. Phys. 22, 399.Google Scholar
  9. Garvey, G. T. and Kelson, I.: 1966,Phys. Rev. Letters 16, 197.Google Scholar
  10. Greenstein, J. L.: 1968, private communication.Google Scholar
  11. Hansen, C. J.: 1966, Ph.D. Thesis, Yale University (unpublished).Google Scholar
  12. Hansen, C. J.: 1968,Astrophys. Space Science 1, 499.Google Scholar
  13. Landau, L. D. and Lifshitz, E. M.: 1958,Statistical Physics, Addison-Wesley Publishing Co., Reading, Mass.Google Scholar
  14. Mestel, L. and Ruderman, M. A.: 1967,Monthly Notices Roy. Astron. Soc. 136, 27.Google Scholar
  15. Tsuruta, S.: 1964, Ph.D. Thesis, Columbia University (unpublished).Google Scholar
  16. Tsuruta, S. and Cameron, A. G. W.: 1965,Can. J. Phys. 43, 2056.Google Scholar
  17. Van Horn, H. M.: 1968,Astrophys. J. 151, 227.Google Scholar

Copyright information

© D. Reidel Publishing Company 1970

Authors and Affiliations

  • Sachiko Tsuruta
    • 1
  • A. G. W. Cameron
    • 2
    • 3
  1. 1.Smithsonian Astrophysical ObservatoryCambridgeUSA
  2. 2.Belfer Graduate School of ScienceYeshiva UniversityNew YorkUSA
  3. 3.Institute for Space Studies, Goddard Space Flight CenterNASANew YorkUSA

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