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Electron Impact Ionisation of Atomic Hydrogen and Helium

  • Bernard Piraux
Part of the NATO ASI Series book series (NSSB, volume 145)

Abstract

The electron-impact ionisation of atoms is one of the most important and challenging areas of research in the field of atomic collisions. It presents to the theorist the difficulties of a many-body problem coupled with several delicate features related to the infinite range of the Coulomb interaction. It is of practical significance also in fields such as plasma physics and astrophysics where a deep understanding of the reaction mechanisms together with a knowledge of the ionisation rates for many atoms is required.

Keywords

Electron Impact Ionization Born Approximation Threshold Behaviour Born Term Kinematical Regime 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    H. Ehrhardt, M. Schultz, T. Tekaat, K. Willmann, Phys. Rev. Lett. 22, 89 (1969).CrossRefGoogle Scholar
  2. 2.
    P. Defranee, Electron Impact Excitation and Ionization of Ions. Experimental Methods. This Institute.Google Scholar
  3. 3.
    A.R.P. Rau, Phys. Reports 110, 369 (1984).CrossRefGoogle Scholar
  4. 4.
    A. Temkin, Phys. Rev. Lett. 49, 365 (1982).CrossRefGoogle Scholar
  5. 5.
    C.J. Joachain, B. Piraux, Comments At. Mol. Phys. 17, 261 (1986).Google Scholar
  6. 6.
    C.J. Joachain, “Quantum Collision Theory” 3rd edn (Amsterdam, North- Holland, 1983) — a) p. 541; b) p. 359, p. 410; c) p. 558.Google Scholar
  7. 7.
    The T.D.C.S. is sometimes called the five-fold differential cross section and denoted by d5σ/dΩABdE since the directions (θA, øA) and (θB, øB) involve the four angles θA, θB, øA, øB.Google Scholar
  8. 8.
    R.K. Peterkop, Proc. Phys. Soc. (London) 77, 1220 (1961).CrossRefGoogle Scholar
  9. 9.
    B.H. Bransden, “Atomic Collision Theory” 2nd edn (New York, Benjamin 1983) p. 297.Google Scholar
  10. 10.
    J. Kessler “Polarized electrons”, (Berlin, Springer Verlag 1976) p. 89.Google Scholar
  11. 11.
    G. Baum, E. Kisker, W. Raith, W. Schröder, U. Silimen, D. Zenses, J. Phys. B: At. Mol. Phys. 14, 4377 (1981).CrossRefGoogle Scholar
  12. 12.
    M.J. Alguard, V.W. Hughes, M.S. Lubell, P.F. Wainwright, Phys. Rev. Lett. 39, 334 (1977).CrossRefGoogle Scholar
  13. 13.
    M.R.H. Rudge, Rev. Mod. Phys. 40, 564 (1968).CrossRefGoogle Scholar
  14. 14.
    D.H. Phillips, M.R.C. McDowell, J. Phys. B 6, L165 (1973).CrossRefGoogle Scholar
  15. 15.
    R.K. Peterkop, Opt. Spectrosc. 13, 87 (1962).Google Scholar
  16. 16.
    M.R.H. Rudge, M.J. Seaton, Proc. Roy. Soc. A283, 262 (1965).Google Scholar
  17. 17.
    K.L. Baluja, H.S. Taylor, J. Phys. B: At. Mol. Phys. 9, 829 (1976).CrossRefGoogle Scholar
  18. 18.
    D.H. Madison, R.V. Calhoun, W.N. Shelton, Phys. Rev. A 16, 552 (1977).CrossRefGoogle Scholar
  19. 19.
    B.H. Bransden, J.J. Smith, K.H. Winters, J. Phys. B: At. Mol. Phys. 11, 3095 (1978).CrossRefGoogle Scholar
  20. 20.
    J.J. Smith, K.H. Winters, B.H. Bransden, J. Phys. B: At. Mol. Phys. 12, 1723 (1979).CrossRefGoogle Scholar
  21. 21.
    R.J. Tweed, J. Phys. B: At. Mol. Phys. 13, 4467 (1980).CrossRefGoogle Scholar
  22. 22.
    F.W. Byron Jr., C.J. Joachain, B. Piraux, J. Phys. B: At. Mol. Phys. 18, 3203 (1985).CrossRefGoogle Scholar
  23. 23.
    J. Jakubowic, D.L. Moores, Comments At. Mol. Phys. 9, 55 (1980).Google Scholar
  24. 24.
    E.P. Wigner, Phys. Rev. 73, 1002 (1948).CrossRefGoogle Scholar
  25. 25.
    G.H. Wannier, Phys. Rev. 90, 817 (1953).CrossRefGoogle Scholar
  26. 26.
    R. Peterkop, J. Phys. B.: At. Mol. Phys. 4, 513 (1971).CrossRefGoogle Scholar
  27. 27.
    A.R.P. Rau, Phys. Rev. A4, 207 (1971).Google Scholar
  28. 28.
    R. Peterkop, “Theory of Ionization of Atoms by Electron Impact” (English edition)(Boulder, Colorado: Associated University Press 1977) chap. VII.Google Scholar
  29. 29.
    R. Peterkop, A. Liepinsh, J. Phys. B: At. Mol. Phys. 14, 4125 (1981).CrossRefGoogle Scholar
  30. 30.
    A.R.P. Rau, Comments At. Mol. Phys. 14, 285 (1984).Google Scholar
  31. 31.
    M.R.H. Rudge, M.J. Seaton, Proc. Phys. Soc. 83, 680 (1964).CrossRefGoogle Scholar
  32. 32.
    U. Fano, Phys. Today 29, 32 (September 1976).CrossRefGoogle Scholar
  33. 33.
    F.H. Read in Electron Impact Ionization, ed. T.D. Mark and G.H. Dunn, (Springer Verlag, Wien, New York, 1985) p. 42.Google Scholar
  34. 34.
    H. Klar, W. Schlecht, J. Phys. B: At. Mol. Phys. 14, 3255 (1981).CrossRefGoogle Scholar
  35. 35.
    C.H. Greene, A.R.P. Rau, Phys. Rev. Lett. 48, 533 (1982).CrossRefGoogle Scholar
  36. 36.
    C.H. Greene, A.R.P. Rau, J. Phys. B: At. Mol. Phys. 16, 99 (1983).CrossRefGoogle Scholar
  37. 37.
    A.D. Stauffer, Phys. Lett. 91A, 114 (1982).Google Scholar
  38. 38.
    J.M. Feagin, J. Phys. B: At. Mol. Phys. 17, 2433 (1984).CrossRefGoogle Scholar
  39. 39.
    This result has been reproduced by several authors by using W.K.B.-like treatments see for example26,27,29.Google Scholar
  40. 40.
    S. Cvejanović, P. Grujić, J. Phys. B: At. Mol. Phys. 8, L305 (1975).CrossRefGoogle Scholar
  41. 41.
    A.R.P. Rau, J. Phys. B: At. Mol. Phys. 9, L283 (1976).CrossRefGoogle Scholar
  42. 42.
    M.S. Yurev, Opt. Spectrosc. 42, 594 (1977).Google Scholar
  43. 43.
    F.H. Read, J. Phys. B: At. Mol. Phys. 17, 3965 (1984).CrossRefGoogle Scholar
  44. 44.
    U. Fano, J. Phys. B: At. Mol. Phys. 7, L401 (1974).CrossRefGoogle Scholar
  45. 45.
    A. Temkin, J. Phys. B 7, L450 (1974).CrossRefGoogle Scholar
  46. 46.
    A. Temkin, Y. Hahn, Phys. Rev. A9, 708 (1974).Google Scholar
  47. 47.
    A. Temkin in “Recent developments in electron-atom and electron-molecule collision processes”, Proceedings of the Daresbury Study Weekend, March (1982) p. 44.Google Scholar
  48. 48.
    A. Temkin, Comments At. Mol. Phys. 11, 287 (1982).Google Scholar
  49. 49.
    J.W. McGowan, E. Clark, Phys. Rev. 167, 43 (1968).CrossRefGoogle Scholar
  50. 50.
    C.E. Brion, G.E. Thomas, Phys. Rev. Lett. 20, 241 (1968).CrossRefGoogle Scholar
  51. 51.
    P. Marchand, C. Paquet, P. Marmet, Phys. Rev. 180, 123 (1969).CrossRefGoogle Scholar
  52. 52.
    S. Cvejanovid, F.H. Read, J. Phys. B: At. Mol. Phys. 7, 1841 (1974).CrossRefGoogle Scholar
  53. 53.
    J.B. Donahue, P.A.M. Gram, M.V. Hynes, R.W. Hamm, C.A. Frost, H.C Bryant, K.B. Butterfield, D.A. Clark, W.W. Smith, Phys. Rev. Lett. 48, 1538 (1982)CrossRefGoogle Scholar
  54. 54.
    Phys. Rev. Lett. 52., 164 (1984).Google Scholar
  55. 55.
    T.J. Gay, F.D. Fletcher, M.J. Alguard, V.W. Hughes, P.F. Wainwright, M.S. Lubell, Phys. Rev. A 26, 3663 (1982).CrossRefGoogle Scholar
  56. 56.
    D. Hils, W. Jitschin, H. Kleinpoppen, J. Phys. B 15, 3347 (1982).CrossRefGoogle Scholar
  57. 57.
    M.H. Kelley, W.T. Rogers, R.J. Celotta, S.R. Mielczarek, Phys. Rev. Lett. 51, 2191 (1983).CrossRefGoogle Scholar
  58. 58.
    F. Pichou, A. Huetz, G. Joyez, M. Landau, J. Phys. B: At. Mol. Phys. 11, 3683 (1978).CrossRefGoogle Scholar
  59. 59.
    P. Hammond, F.H. Read, S. Cvejanović, G.C King in The book of Abstracts of the Second European Conference on Atomic and Molecular Physics (Amsterdam, April 1985) p. 158.Google Scholar
  60. 60.
    H. Ehrhardt, K.H. Hesselbacher, K. Jung, K. Willmann, J. Phys. B: At. Mol. Phys. 5, 1559 (1972).CrossRefGoogle Scholar
  61. 61.
    E. Schubert, K. Jung, H. Ehrhardt, J. Phys. B: At. Mol. Phys. 14, 3267 (1981).CrossRefGoogle Scholar
  62. 62.
    P. Founier-Lagarde, J. Mazeau, A. Huetz, J. Phys. B: At. Mol. Phys. 17, L591 (1984).CrossRefGoogle Scholar
  63. 63.
    H. Ehrhardt, K.H. Hesselbacher, K. Jung, K. Willmann in Case Studies in Atomic Physics (North-Holland, Amsterdam), 2, 159 (1971).Google Scholar
  64. 64.
    H. Ehrhardt, M. Fischer, K. Jung, Zeit. Phys. A304, 119 (1982).Google Scholar
  65. 65.
    H. Ehrhardt, M. Fischer, K. Jung, F.W. Byron Jr., C.J. Joachain, B. Piraux, Phys. Rev. Lett. 48, 1807 (1982).CrossRefGoogle Scholar
  66. 66.
    H. Ehrhardt, Comments At. Mol. Phys. 13, 115 (1983).Google Scholar
  67. 67.
    A. Lahmam-Bennani, H.F. Wellenstein, A. Duguet, M. Rouault, J. Phys. B.: At. Mol. Phys. 16, 121 (1983).CrossRefGoogle Scholar
  68. 67a.
    A. Lahmam-Bennani, H.F. Wellenstein, A. Duguet, M. Rouault, At. Mol. Phys. 16, 4089 (1983).CrossRefGoogle Scholar
  69. 68.
    A. Lahmam-Bennani, H.F. Wellenstein, C. Dal Cappello, M. Rouault, A. Duguet, J. Phys. B: At. Mol. Phys. 16, 2219 (1983).CrossRefGoogle Scholar
  70. 69.
    A. Lahmam-Bennani, H.F. Wellenstein, C. Dal Cappello, A. Duguet, J. Phys. B: At. Mol. Phys. 17, 3159 (1984).CrossRefGoogle Scholar
  71. 70.
    V.D.I. Martino, R. Fantoni, A. Giardini-Guidoni and R. Tiribelli, Phys. Lett. 103 A, 45 (1984).Google Scholar
  72. 71.
    B. Lohmann, I.E. McCarthy, A.T. Stelbovics, E. Weigold, Phys. Rev. A 30, 758 (1984).CrossRefGoogle Scholar
  73. 72.
    Ehrhardt, private communication.Google Scholar
  74. 73.
    U. Amaldi Jr., A. Egidi, R. Marconero, G. Pizzella, Rev. Sci. Instr. 40, 1001 (1969).CrossRefGoogle Scholar
  75. 74.
    R. Camilloni, A. Giardini-Guidoni, R. Tiribelli and G. Stephani, Phys. Rev. Lett. 29, 618 (1972).CrossRefGoogle Scholar
  76. 75.
    A. Giardini-Guidoni, R. Fantoni, R. Camilloni, G. Stephani, Comments At. Mol. Phys. 10, 107 (1981).Google Scholar
  77. 76.
    E. Weigold, S.T. Hood, P.J.O. Teubner, Phys. Rev. Lett. 30, 475 (1973).CrossRefGoogle Scholar
  78. 77.
    I.E. McCarthy, E. Weigold, Phys. Reports 27, 275 (1976).CrossRefGoogle Scholar
  79. 78.
    E. Weigold, I.E. McCarthy, Adv. At. Mol. Phys. 14, 127 (1978).CrossRefGoogle Scholar
  80. 79.
    B. van Wingerden, J.T. Kimman, M. van Tilburg, E. Weigold, C.J. Joachain, B. Piraux, F.J. de Heer, J. Phys. B: At. Mol. Phys. 12, L627 (1979).CrossRefGoogle Scholar
  81. 80.
    V. van Wingerden, J.T. Kimman, M. van Tilburg, F.J. de Heer, J. Phys. B: At. Mol. Phys. 14, 2475 (1981).CrossRefGoogle Scholar
  82. 81.
    J.T.N. Kimman, Pan Guang-Yan, C.W. McCardy, F.J. de Heer, J. Phys. B: At. Mol. Phys. 16, 4203 (1983).CrossRefGoogle Scholar
  83. 82.
    A. Pochat, R.J. Tweed, J. Peresse, C.J. Joachain, B. Piraux, F.W. Byron Jr., J. Phys. B: At. Mol. Phys. 16, L775 (1983).CrossRefGoogle Scholar
  84. 83.
    E. Weigold, Comments At. Mol. Phys. 15, 223 (1984).Google Scholar
  85. 84.
    M. Schultz, J. Phys. B: At. Mol. Phys. 6, 2580 (1973).CrossRefGoogle Scholar
  86. 85.
    V.L. Jacobs, Phys. Rev. A 10, 499 (1974).CrossRefGoogle Scholar
  87. 86.
    W.D. Robb, S.P. Rountree, T. Burnett, Phys. Rev. A 11, 1193 (1975).CrossRefGoogle Scholar
  88. 87.
    M. Zarcone, D.L. Moores, M.R.C. Mc Dowell, J. Phys. B: At. Mol. Phys. 16, L11 (1983).CrossRefGoogle Scholar
  89. 88.
    K. Jung, R. Müller-Fiedler, P. Schlemmer, H. Ehrhardt, H. Klar, to be published.Google Scholar
  90. 89.
    H. Klar, K. Jung, H. Ehrhardt, Phys. Rev. A 29, 405 (1984).CrossRefGoogle Scholar
  91. 90.
    R. Müller-Fiedler, P. Schlemmer, K. Jung, H. Ehrhardt, to be published.Google Scholar
  92. 91.
    S. Geltman, M.B. Hidalgo, J. Phys. B: At. Mol. Phys. 7, 831 (1974).CrossRefGoogle Scholar
  93. 92.
    S. Geltman, J. Phys. B: At. Mol. Phys. 7, 1994 (1974).CrossRefGoogle Scholar
  94. 93.
    The Coulomb-projected Born approximation for the direct amplitude is obtained from expression (8) in which relation (9) is used and zA=zB=i.Google Scholar
  95. 94.
    F.W. Byron Jr., C.J. Joachain, B. Piraux, J. Phys. B: At. Mol. Phys. 13, L673 (1980).CrossRefGoogle Scholar
  96. 95.
    F.W. Byron Jr., C.J. Joachain, Phys. Rev. A8, 1267 (1973).Google Scholar
  97. 96.
    F.W. Byron Jr., C.J. Joachain, Phys. Reports 34, 233 (1977).CrossRefGoogle Scholar
  98. 97.
    R.J. Glauber, “Lectures in Theoretical Physics”, Vol. 1, ed. W.E. Brittin (New York: Interscience) p. 315 (1959).Google Scholar
  99. 98.
    F.W. Byron Jr., C.J. Joachain, B. Piraux, Phys. Lett. 99A, 427 (1983).Google Scholar
  100. 99.
    F.W. Byron Jr., C.J. Joachain, B. Piraux, Phys. Lett. 106A, 289 (1984).Google Scholar
  101. 100.
    B. Piraux, Thèse de doctorat, Université Catholique de Louvain (1983).Google Scholar
  102. 101.
    V.l. Ochkur, Zh. Eksp. Teor. Fiz 45, 734 (1963); [English translation Sov. Phys. JETP 18, 503 (1984)].Google Scholar
  103. 102.
    F.W. Byron Jr., C.J. Joachain, B. Piraux, J. Phys. B: At. Mol. Phys. 15, L293 (1982).CrossRefGoogle Scholar
  104. 103.
    F.W. Byron, Jr., C.J. Joachain, B. Piraux, to be published.Google Scholar
  105. 104.
    F.W. Byron Jr., C.J. Joachain, Phys. Rev. 146, 1 (1966).CrossRefGoogle Scholar
  106. 105.
    H. Ehrhardt, private communication.Google Scholar
  107. 106.
    C.J. Joachain, Comments At. Mol. Phys. 6, 69 (1977).Google Scholar
  108. 107.
    F.W. Byron Jr., C.J. Joachain, B. Piraux, J. Phys. B: At. Mol. Phys. L769 (1983).Google Scholar
  109. 108.
    A. Pochat, R.J. Tweed, M. Doritch, J. Peresse, J. Phys. B: At. Mol. Phys. 15, 2269 (1982).CrossRefGoogle Scholar
  110. 109.
    A. Pochat, M. Doritch, J. Peresse, Phys. Lett. A 90, 354 (1982).CrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1986

Authors and Affiliations

  • Bernard Piraux
    • 1
  1. 1.Blackett LaboratoryImperial CollegeLondonEngland

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