Theory and Calculation of Resonances and Autoionization of Two-Electron Atoms and Ions

  • A. Temkin
  • A. K. Bhatia
Part of the Physics of Atoms and Molecules book series (PAMO)


In this chapter, we shall review and discuss the theory and calculation of autoionization states of two-electron systems from the point of view of projection operator formalism as used by the authors over many years. Autoionization states are resonances caused by scattering an electron impinging on a target ion or atom. They can also be produced by photoabsorption as well as heavy-particle collisions. It is only comparatively recently that such resonances have been studied in great detail as a result of important experimental and theoretical developments together with the advent of high-speed computers.


Optical Potential Resonance Parameter Schrodinger Equation FESHBACH Resonance Total Wave Function 
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  1. 1.
    H. Feshbach, Ann. Phys. (N.Y.) 19, 287 (1962).MathSciNetADSMATHCrossRefGoogle Scholar
  2. 2.
    U. Fano, Phys. Rev. 124, 1866 (1961).ADSMATHCrossRefGoogle Scholar
  3. 3.
    Y. Hahn, T. F. O’Malley, L. Spruch, Phys. Rev. 128, 932 (1962).MathSciNetADSMATHCrossRefGoogle Scholar
  4. 4.
    T. F. O’Malley and S. Geltman, Phys. Rev. 137, A1344 (1965).CrossRefGoogle Scholar
  5. 5.
    P. M. Morse and W. P. Allis, Phys. Rev. 44, 269 (1933).ADSCrossRefGoogle Scholar
  6. 6.
    R. P. Madden and K. Codling, Astrophys. J. 141, 364 (1965).ADSCrossRefGoogle Scholar
  7. 7.
    G. Breit and E. P. Wigner, Phys. Rev. 49, 519, 642 (1936).ADSMATHCrossRefGoogle Scholar
  8. 8.
    Y. K. Ho, A. K. Bhatia, and A. Temkin, Phys. Rev. A 15, 1432 (1977).ADSCrossRefGoogle Scholar
  9. 9.
    R. J. Drachman, Phys. Rev. A 15, 1430 (1977).ADSCrossRefGoogle Scholar
  10. 10.
    A. K. Bhatia, A. Temkin, and J. F. Perkins, Phys. Rev. 153, 177 (1967).ADSCrossRefGoogle Scholar
  11. 11.
    A. K. Bhatia and A. Temkin, Rev. Mod. Phys. 36, 1050 (1964).ADSMATHCrossRefGoogle Scholar
  12. 12.
    P. G. Burke and H. M. Schey, Phys. Rev. 126, 149 (1962).ADSGoogle Scholar
  13. 13.
    P. G. Burke, in Invited Papers of the Fifth International Conference on the Physics of Electronic and Atomic Collisions 1967 edited by P. M. Branscomb, p. 128, Univ. of Colorado, Boulder 1968.Google Scholar
  14. 14.
    K. T. Chung and J. C. Y. Chen, Phys. Rev. A 13, 1655 (1976).ADSCrossRefGoogle Scholar
  15. 15.
    Y. K. Ho and P. A. Fraser, J. Phys. B 9, 3213 (1976).ADSCrossRefGoogle Scholar
  16. 16.
    L. Sanche and P. D. Burrow, Phys. Rev. Lett. 29, 1639 (1972).ADSCrossRefGoogle Scholar
  17. 17.
    J. F. Williams, J. Phys. B 7, L 56 (1974); Electron and Photon Interactions with Atoms (edited by H. Kleinpoppen and M. R. C. McDowell, p. 309, Plenum, New York 1976).ADSGoogle Scholar
  18. 18.
    A. Temkin, Phys. Rev. 107, 1004 (1957).MathSciNetADSMATHCrossRefGoogle Scholar
  19. 19.
    A. Temkin and J. C. Lamkin, Phys. Rev. 121, 788 (1961).ADSCrossRefGoogle Scholar
  20. 20.
    A. K. Bhatia, P. G. Burke, and A. Temkin, Phys. Rev. A 8, 21 (1973); 10, 459 (1974).ADSCrossRefGoogle Scholar
  21. 21.
    P. G. Burke, D. F. Gallaher, and S. Geltman, J. Phys. B 2, 1142 (1969).ADSCrossRefGoogle Scholar
  22. 22.
    R. J. Damburg and E. Karule, Proc. Phys. Soc. (London) 90 637 (1967).ADSCrossRefGoogle Scholar
  23. 23.
    R. J. Drachman and A. Temkin, in Case Studies in Atomic Collision Physics, vol. 2 (edited by E. McDaniel and M. R. C. McDowell, p. 399, North-Holland, Amsterdam 1972).Google Scholar
  24. 24.
    A. K. Bhatia and A. Temkin, Phys. Rev. A 11, 2018 (1975).ADSCrossRefGoogle Scholar
  25. 25.
    W. C. Martin, J. of Phys. and Chen. Ref. Data 2, 257 (1973).ADSCrossRefGoogle Scholar
  26. 26.
    A. K. Bhatia and A. Temkin, Phys. Rev. A 29, 1875 (1984).ADSCrossRefGoogle Scholar
  27. 27.
    R. P. Madden and K. Codling, Astrophys. J. 141, 364 (1965).ADSCrossRefGoogle Scholar
  28. 28.
    H. D. Morgan and D. Ederer, Phys. Rev. A 29, 1901 (1984).ADSCrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1985

Authors and Affiliations

  • A. Temkin
    • 1
  • A. K. Bhatia
    • 1
  1. 1.Atomic Physics Office, Laboratory for Astronomy and Solar Physics, National Aeronautics and Space AdministrationGoddard Space Flight CenterGreenbeltUSA

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