Abstract

Photoionization processes depend critically on the behavior of the bound and continuum state wave functions involved in the ionization process. Resonance and threshold effects, as they show up in the photoemission cross section, are discussed within this context.

© 1980 Optical Society of America

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References

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  1. J. A. R. Samson, J. L. Gardner, Phys. Rev. Lett. 31, 1327 (1973).
    [CrossRef]
  2. U. Heinzmann, F. Schäfers, K. Thimm, A. Wolcke, J. Kessler, J. Phys. B: 12, L679 (1979).
    [CrossRef]
  3. F. Herman, S. Skillman, Atomic Structure Calculations (Prentice-Hall, Englewood Cliffs, N.J., 1963).
  4. The author thanks C. E. Theodosiou for the calculation of the continuum wave functions in the HS potential (1980).
  5. A. F. Starace, Phys. Rev. A 2, 118 (1970).
    [CrossRef]
  6. S. T. Manson, Phys. Rev. 182, 97 (1969).
    [CrossRef]
  7. M. Y. Adam, Ph.D. Thesis, Université de Paris-Sud (1978).
  8. S. P. Shannon, K. Codling, J. B. West, J. Phys. B: 10, 825 (1977).
    [CrossRef]
  9. A. F. Starace, “Theory of Atomic Photoionization” in Handbook of Physics, Vol. 31, W. Mehlhorn, Ed. (Springer, Berlin, in press, 1981).
  10. K. Codling, in Topics in Current Physics, Synchrotron Radiation, C. Kunz, Ed. (Springer, Berlin, 1979), p. 231, and references therein.
    [CrossRef]
  11. G. Wendin, in Photoionization of Atoms and Molecules, Proceedings of the Daresbury Meeting, B. D. Buckley, Ed., Report DL/SCI/R11 (1978), p. 1.
  12. E. E. Koch, B. F. Sonntag, in Topics in Current Physics, Synchrotron Radiation, C. Kunz, Ed. (Springer, Berlin, 1979), p. 269.
    [CrossRef]
  13. J. L. Dehmer, D. Dill, Phys. Rev. Lett. 35, 213 (1975).
    [CrossRef]
  14. S. Krummacher, V. Schmidt, F. Wuilleumier, in Extended Abstracts, Sixth International Conference on VUV Radiation Physics, June1980.
  15. U. Fano, J. W. Cooper, Phys. Rev. A 137, 1364 (1965).
  16. V. S. Senashenko, A. Wagué, J. Phys. B: 12, L269 (1979).
    [CrossRef]
  17. R. A. Rosenberg, M. G. White, G. Thornton, D. A. Shirley, Phys. Rev. Lett. 43, 1384 (1979).
    [CrossRef]
  18. N. Sandner, Ph.D. Thesis, Universität Freiburg (1978) and other unpublished work.
  19. W. Eberhardt, G. Kalkoffen, C. Kunz, Phys. Rev. Lett. 41, 156 (1978).
    [CrossRef]
  20. G. Wendin, in Photoionization and Other Probes of Many-Electron Interactions, F. Wuilleumier, Ed. (Plenum, New York, 1975), p. 61.
  21. M. Ya. Amusia, in Atomic Physics Vol. 5, R. Marrus, M. Prior, H. Shugart, Eds. (Plenum, New York, 1977), p. 537.
  22. E. P. Wigner, Phys. Rev. 73, 1002 (1948).
    [CrossRef]
  23. H. Klar, W. Schlecht, J. Phys. B: 9, 1699 (1976) and references therein.
    [CrossRef]
  24. H. J. Kaiser, E. Heinicke, R. Rackwitz, D. Feldmann, Z. Phys. 270, 259 (1974) and references therein.
    [CrossRef]
  25. P. Frey, F. Breyer, H. Hotop, J. Phys. B: 11, L589 (1978) and references therein.
    [CrossRef]
  26. D. Spence, Phys. Rev. A 11, 1539 (1975) and references therein.
    [CrossRef]
  27. H. Hanashiro, Y. Suzuki, T. Sasaki, A. Mikuni, T. Takayanagi, K. Wakiya, H. Suzuki, A. Danjo, T. Hino, S. Ohtani, J. Phys. B: 12, L775 (1979) and references therein.
    [CrossRef]
  28. G. R. Wight, M. J. Van der Wiel, J. Phys. B: 10, 601 (1977).
    [CrossRef]
  29. V. Schmidt, S. Krummacher, F. Wuilleumier, P. Dhez, in Extended Abstracts, Sixth International Conference on VUV Radiation Physics, June1980.
  30. M. S. Banna, M. O. Krause, F. Wuilleumier, J. Phys. B: 12, L125 (1979).
    [CrossRef]
  31. T. E. H. Walker, J. T. Waber, J. Phys. B: 7, 674 (1974).
    [CrossRef]

1979 (5)

U. Heinzmann, F. Schäfers, K. Thimm, A. Wolcke, J. Kessler, J. Phys. B: 12, L679 (1979).
[CrossRef]

V. S. Senashenko, A. Wagué, J. Phys. B: 12, L269 (1979).
[CrossRef]

R. A. Rosenberg, M. G. White, G. Thornton, D. A. Shirley, Phys. Rev. Lett. 43, 1384 (1979).
[CrossRef]

H. Hanashiro, Y. Suzuki, T. Sasaki, A. Mikuni, T. Takayanagi, K. Wakiya, H. Suzuki, A. Danjo, T. Hino, S. Ohtani, J. Phys. B: 12, L775 (1979) and references therein.
[CrossRef]

M. S. Banna, M. O. Krause, F. Wuilleumier, J. Phys. B: 12, L125 (1979).
[CrossRef]

1978 (2)

P. Frey, F. Breyer, H. Hotop, J. Phys. B: 11, L589 (1978) and references therein.
[CrossRef]

W. Eberhardt, G. Kalkoffen, C. Kunz, Phys. Rev. Lett. 41, 156 (1978).
[CrossRef]

1977 (2)

S. P. Shannon, K. Codling, J. B. West, J. Phys. B: 10, 825 (1977).
[CrossRef]

G. R. Wight, M. J. Van der Wiel, J. Phys. B: 10, 601 (1977).
[CrossRef]

1976 (1)

H. Klar, W. Schlecht, J. Phys. B: 9, 1699 (1976) and references therein.
[CrossRef]

1975 (2)

D. Spence, Phys. Rev. A 11, 1539 (1975) and references therein.
[CrossRef]

J. L. Dehmer, D. Dill, Phys. Rev. Lett. 35, 213 (1975).
[CrossRef]

1974 (2)

H. J. Kaiser, E. Heinicke, R. Rackwitz, D. Feldmann, Z. Phys. 270, 259 (1974) and references therein.
[CrossRef]

T. E. H. Walker, J. T. Waber, J. Phys. B: 7, 674 (1974).
[CrossRef]

1973 (1)

J. A. R. Samson, J. L. Gardner, Phys. Rev. Lett. 31, 1327 (1973).
[CrossRef]

1970 (1)

A. F. Starace, Phys. Rev. A 2, 118 (1970).
[CrossRef]

1969 (1)

S. T. Manson, Phys. Rev. 182, 97 (1969).
[CrossRef]

1965 (1)

U. Fano, J. W. Cooper, Phys. Rev. A 137, 1364 (1965).

1948 (1)

E. P. Wigner, Phys. Rev. 73, 1002 (1948).
[CrossRef]

Adam, M. Y.

M. Y. Adam, Ph.D. Thesis, Université de Paris-Sud (1978).

Amusia, M. Ya.

M. Ya. Amusia, in Atomic Physics Vol. 5, R. Marrus, M. Prior, H. Shugart, Eds. (Plenum, New York, 1977), p. 537.

Banna, M. S.

M. S. Banna, M. O. Krause, F. Wuilleumier, J. Phys. B: 12, L125 (1979).
[CrossRef]

Breyer, F.

P. Frey, F. Breyer, H. Hotop, J. Phys. B: 11, L589 (1978) and references therein.
[CrossRef]

Codling, K.

S. P. Shannon, K. Codling, J. B. West, J. Phys. B: 10, 825 (1977).
[CrossRef]

K. Codling, in Topics in Current Physics, Synchrotron Radiation, C. Kunz, Ed. (Springer, Berlin, 1979), p. 231, and references therein.
[CrossRef]

Cooper, J. W.

U. Fano, J. W. Cooper, Phys. Rev. A 137, 1364 (1965).

Danjo, A.

H. Hanashiro, Y. Suzuki, T. Sasaki, A. Mikuni, T. Takayanagi, K. Wakiya, H. Suzuki, A. Danjo, T. Hino, S. Ohtani, J. Phys. B: 12, L775 (1979) and references therein.
[CrossRef]

Dehmer, J. L.

J. L. Dehmer, D. Dill, Phys. Rev. Lett. 35, 213 (1975).
[CrossRef]

Dhez, P.

V. Schmidt, S. Krummacher, F. Wuilleumier, P. Dhez, in Extended Abstracts, Sixth International Conference on VUV Radiation Physics, June1980.

Dill, D.

J. L. Dehmer, D. Dill, Phys. Rev. Lett. 35, 213 (1975).
[CrossRef]

Eberhardt, W.

W. Eberhardt, G. Kalkoffen, C. Kunz, Phys. Rev. Lett. 41, 156 (1978).
[CrossRef]

Fano, U.

U. Fano, J. W. Cooper, Phys. Rev. A 137, 1364 (1965).

Feldmann, D.

H. J. Kaiser, E. Heinicke, R. Rackwitz, D. Feldmann, Z. Phys. 270, 259 (1974) and references therein.
[CrossRef]

Frey, P.

P. Frey, F. Breyer, H. Hotop, J. Phys. B: 11, L589 (1978) and references therein.
[CrossRef]

Gardner, J. L.

J. A. R. Samson, J. L. Gardner, Phys. Rev. Lett. 31, 1327 (1973).
[CrossRef]

Hanashiro, H.

H. Hanashiro, Y. Suzuki, T. Sasaki, A. Mikuni, T. Takayanagi, K. Wakiya, H. Suzuki, A. Danjo, T. Hino, S. Ohtani, J. Phys. B: 12, L775 (1979) and references therein.
[CrossRef]

Heinicke, E.

H. J. Kaiser, E. Heinicke, R. Rackwitz, D. Feldmann, Z. Phys. 270, 259 (1974) and references therein.
[CrossRef]

Heinzmann, U.

U. Heinzmann, F. Schäfers, K. Thimm, A. Wolcke, J. Kessler, J. Phys. B: 12, L679 (1979).
[CrossRef]

Herman, F.

F. Herman, S. Skillman, Atomic Structure Calculations (Prentice-Hall, Englewood Cliffs, N.J., 1963).

Hino, T.

H. Hanashiro, Y. Suzuki, T. Sasaki, A. Mikuni, T. Takayanagi, K. Wakiya, H. Suzuki, A. Danjo, T. Hino, S. Ohtani, J. Phys. B: 12, L775 (1979) and references therein.
[CrossRef]

Hotop, H.

P. Frey, F. Breyer, H. Hotop, J. Phys. B: 11, L589 (1978) and references therein.
[CrossRef]

Kaiser, H. J.

H. J. Kaiser, E. Heinicke, R. Rackwitz, D. Feldmann, Z. Phys. 270, 259 (1974) and references therein.
[CrossRef]

Kalkoffen, G.

W. Eberhardt, G. Kalkoffen, C. Kunz, Phys. Rev. Lett. 41, 156 (1978).
[CrossRef]

Kessler, J.

U. Heinzmann, F. Schäfers, K. Thimm, A. Wolcke, J. Kessler, J. Phys. B: 12, L679 (1979).
[CrossRef]

Klar, H.

H. Klar, W. Schlecht, J. Phys. B: 9, 1699 (1976) and references therein.
[CrossRef]

Koch, E. E.

E. E. Koch, B. F. Sonntag, in Topics in Current Physics, Synchrotron Radiation, C. Kunz, Ed. (Springer, Berlin, 1979), p. 269.
[CrossRef]

Krause, M. O.

M. S. Banna, M. O. Krause, F. Wuilleumier, J. Phys. B: 12, L125 (1979).
[CrossRef]

Krummacher, S.

V. Schmidt, S. Krummacher, F. Wuilleumier, P. Dhez, in Extended Abstracts, Sixth International Conference on VUV Radiation Physics, June1980.

S. Krummacher, V. Schmidt, F. Wuilleumier, in Extended Abstracts, Sixth International Conference on VUV Radiation Physics, June1980.

Kunz, C.

W. Eberhardt, G. Kalkoffen, C. Kunz, Phys. Rev. Lett. 41, 156 (1978).
[CrossRef]

Manson, S. T.

S. T. Manson, Phys. Rev. 182, 97 (1969).
[CrossRef]

Mikuni, A.

H. Hanashiro, Y. Suzuki, T. Sasaki, A. Mikuni, T. Takayanagi, K. Wakiya, H. Suzuki, A. Danjo, T. Hino, S. Ohtani, J. Phys. B: 12, L775 (1979) and references therein.
[CrossRef]

Ohtani, S.

H. Hanashiro, Y. Suzuki, T. Sasaki, A. Mikuni, T. Takayanagi, K. Wakiya, H. Suzuki, A. Danjo, T. Hino, S. Ohtani, J. Phys. B: 12, L775 (1979) and references therein.
[CrossRef]

Rackwitz, R.

H. J. Kaiser, E. Heinicke, R. Rackwitz, D. Feldmann, Z. Phys. 270, 259 (1974) and references therein.
[CrossRef]

Rosenberg, R. A.

R. A. Rosenberg, M. G. White, G. Thornton, D. A. Shirley, Phys. Rev. Lett. 43, 1384 (1979).
[CrossRef]

Samson, J. A. R.

J. A. R. Samson, J. L. Gardner, Phys. Rev. Lett. 31, 1327 (1973).
[CrossRef]

Sandner, N.

N. Sandner, Ph.D. Thesis, Universität Freiburg (1978) and other unpublished work.

Sasaki, T.

H. Hanashiro, Y. Suzuki, T. Sasaki, A. Mikuni, T. Takayanagi, K. Wakiya, H. Suzuki, A. Danjo, T. Hino, S. Ohtani, J. Phys. B: 12, L775 (1979) and references therein.
[CrossRef]

Schäfers, F.

U. Heinzmann, F. Schäfers, K. Thimm, A. Wolcke, J. Kessler, J. Phys. B: 12, L679 (1979).
[CrossRef]

Schlecht, W.

H. Klar, W. Schlecht, J. Phys. B: 9, 1699 (1976) and references therein.
[CrossRef]

Schmidt, V.

V. Schmidt, S. Krummacher, F. Wuilleumier, P. Dhez, in Extended Abstracts, Sixth International Conference on VUV Radiation Physics, June1980.

S. Krummacher, V. Schmidt, F. Wuilleumier, in Extended Abstracts, Sixth International Conference on VUV Radiation Physics, June1980.

Senashenko, V. S.

V. S. Senashenko, A. Wagué, J. Phys. B: 12, L269 (1979).
[CrossRef]

Shannon, S. P.

S. P. Shannon, K. Codling, J. B. West, J. Phys. B: 10, 825 (1977).
[CrossRef]

Shirley, D. A.

R. A. Rosenberg, M. G. White, G. Thornton, D. A. Shirley, Phys. Rev. Lett. 43, 1384 (1979).
[CrossRef]

Skillman, S.

F. Herman, S. Skillman, Atomic Structure Calculations (Prentice-Hall, Englewood Cliffs, N.J., 1963).

Sonntag, B. F.

E. E. Koch, B. F. Sonntag, in Topics in Current Physics, Synchrotron Radiation, C. Kunz, Ed. (Springer, Berlin, 1979), p. 269.
[CrossRef]

Spence, D.

D. Spence, Phys. Rev. A 11, 1539 (1975) and references therein.
[CrossRef]

Starace, A. F.

A. F. Starace, Phys. Rev. A 2, 118 (1970).
[CrossRef]

A. F. Starace, “Theory of Atomic Photoionization” in Handbook of Physics, Vol. 31, W. Mehlhorn, Ed. (Springer, Berlin, in press, 1981).

Suzuki, H.

H. Hanashiro, Y. Suzuki, T. Sasaki, A. Mikuni, T. Takayanagi, K. Wakiya, H. Suzuki, A. Danjo, T. Hino, S. Ohtani, J. Phys. B: 12, L775 (1979) and references therein.
[CrossRef]

Suzuki, Y.

H. Hanashiro, Y. Suzuki, T. Sasaki, A. Mikuni, T. Takayanagi, K. Wakiya, H. Suzuki, A. Danjo, T. Hino, S. Ohtani, J. Phys. B: 12, L775 (1979) and references therein.
[CrossRef]

Takayanagi, T.

H. Hanashiro, Y. Suzuki, T. Sasaki, A. Mikuni, T. Takayanagi, K. Wakiya, H. Suzuki, A. Danjo, T. Hino, S. Ohtani, J. Phys. B: 12, L775 (1979) and references therein.
[CrossRef]

Thimm, K.

U. Heinzmann, F. Schäfers, K. Thimm, A. Wolcke, J. Kessler, J. Phys. B: 12, L679 (1979).
[CrossRef]

Thornton, G.

R. A. Rosenberg, M. G. White, G. Thornton, D. A. Shirley, Phys. Rev. Lett. 43, 1384 (1979).
[CrossRef]

Van der Wiel, M. J.

G. R. Wight, M. J. Van der Wiel, J. Phys. B: 10, 601 (1977).
[CrossRef]

Waber, J. T.

T. E. H. Walker, J. T. Waber, J. Phys. B: 7, 674 (1974).
[CrossRef]

Wagué, A.

V. S. Senashenko, A. Wagué, J. Phys. B: 12, L269 (1979).
[CrossRef]

Wakiya, K.

H. Hanashiro, Y. Suzuki, T. Sasaki, A. Mikuni, T. Takayanagi, K. Wakiya, H. Suzuki, A. Danjo, T. Hino, S. Ohtani, J. Phys. B: 12, L775 (1979) and references therein.
[CrossRef]

Walker, T. E. H.

T. E. H. Walker, J. T. Waber, J. Phys. B: 7, 674 (1974).
[CrossRef]

Wendin, G.

G. Wendin, in Photoionization and Other Probes of Many-Electron Interactions, F. Wuilleumier, Ed. (Plenum, New York, 1975), p. 61.

G. Wendin, in Photoionization of Atoms and Molecules, Proceedings of the Daresbury Meeting, B. D. Buckley, Ed., Report DL/SCI/R11 (1978), p. 1.

West, J. B.

S. P. Shannon, K. Codling, J. B. West, J. Phys. B: 10, 825 (1977).
[CrossRef]

White, M. G.

R. A. Rosenberg, M. G. White, G. Thornton, D. A. Shirley, Phys. Rev. Lett. 43, 1384 (1979).
[CrossRef]

Wight, G. R.

G. R. Wight, M. J. Van der Wiel, J. Phys. B: 10, 601 (1977).
[CrossRef]

Wigner, E. P.

E. P. Wigner, Phys. Rev. 73, 1002 (1948).
[CrossRef]

Wolcke, A.

U. Heinzmann, F. Schäfers, K. Thimm, A. Wolcke, J. Kessler, J. Phys. B: 12, L679 (1979).
[CrossRef]

Wuilleumier, F.

M. S. Banna, M. O. Krause, F. Wuilleumier, J. Phys. B: 12, L125 (1979).
[CrossRef]

V. Schmidt, S. Krummacher, F. Wuilleumier, P. Dhez, in Extended Abstracts, Sixth International Conference on VUV Radiation Physics, June1980.

S. Krummacher, V. Schmidt, F. Wuilleumier, in Extended Abstracts, Sixth International Conference on VUV Radiation Physics, June1980.

J. Phys. B (9)

U. Heinzmann, F. Schäfers, K. Thimm, A. Wolcke, J. Kessler, J. Phys. B: 12, L679 (1979).
[CrossRef]

S. P. Shannon, K. Codling, J. B. West, J. Phys. B: 10, 825 (1977).
[CrossRef]

V. S. Senashenko, A. Wagué, J. Phys. B: 12, L269 (1979).
[CrossRef]

H. Klar, W. Schlecht, J. Phys. B: 9, 1699 (1976) and references therein.
[CrossRef]

P. Frey, F. Breyer, H. Hotop, J. Phys. B: 11, L589 (1978) and references therein.
[CrossRef]

H. Hanashiro, Y. Suzuki, T. Sasaki, A. Mikuni, T. Takayanagi, K. Wakiya, H. Suzuki, A. Danjo, T. Hino, S. Ohtani, J. Phys. B: 12, L775 (1979) and references therein.
[CrossRef]

G. R. Wight, M. J. Van der Wiel, J. Phys. B: 10, 601 (1977).
[CrossRef]

M. S. Banna, M. O. Krause, F. Wuilleumier, J. Phys. B: 12, L125 (1979).
[CrossRef]

T. E. H. Walker, J. T. Waber, J. Phys. B: 7, 674 (1974).
[CrossRef]

Phys. Rev. (2)

E. P. Wigner, Phys. Rev. 73, 1002 (1948).
[CrossRef]

S. T. Manson, Phys. Rev. 182, 97 (1969).
[CrossRef]

Phys. Rev. A (3)

A. F. Starace, Phys. Rev. A 2, 118 (1970).
[CrossRef]

U. Fano, J. W. Cooper, Phys. Rev. A 137, 1364 (1965).

D. Spence, Phys. Rev. A 11, 1539 (1975) and references therein.
[CrossRef]

Phys. Rev. Lett. (4)

J. A. R. Samson, J. L. Gardner, Phys. Rev. Lett. 31, 1327 (1973).
[CrossRef]

J. L. Dehmer, D. Dill, Phys. Rev. Lett. 35, 213 (1975).
[CrossRef]

R. A. Rosenberg, M. G. White, G. Thornton, D. A. Shirley, Phys. Rev. Lett. 43, 1384 (1979).
[CrossRef]

W. Eberhardt, G. Kalkoffen, C. Kunz, Phys. Rev. Lett. 41, 156 (1978).
[CrossRef]

Z. Phys. (1)

H. J. Kaiser, E. Heinicke, R. Rackwitz, D. Feldmann, Z. Phys. 270, 259 (1974) and references therein.
[CrossRef]

Other (12)

V. Schmidt, S. Krummacher, F. Wuilleumier, P. Dhez, in Extended Abstracts, Sixth International Conference on VUV Radiation Physics, June1980.

G. Wendin, in Photoionization and Other Probes of Many-Electron Interactions, F. Wuilleumier, Ed. (Plenum, New York, 1975), p. 61.

M. Ya. Amusia, in Atomic Physics Vol. 5, R. Marrus, M. Prior, H. Shugart, Eds. (Plenum, New York, 1977), p. 537.

N. Sandner, Ph.D. Thesis, Universität Freiburg (1978) and other unpublished work.

S. Krummacher, V. Schmidt, F. Wuilleumier, in Extended Abstracts, Sixth International Conference on VUV Radiation Physics, June1980.

M. Y. Adam, Ph.D. Thesis, Université de Paris-Sud (1978).

F. Herman, S. Skillman, Atomic Structure Calculations (Prentice-Hall, Englewood Cliffs, N.J., 1963).

The author thanks C. E. Theodosiou for the calculation of the continuum wave functions in the HS potential (1980).

A. F. Starace, “Theory of Atomic Photoionization” in Handbook of Physics, Vol. 31, W. Mehlhorn, Ed. (Springer, Berlin, in press, 1981).

K. Codling, in Topics in Current Physics, Synchrotron Radiation, C. Kunz, Ed. (Springer, Berlin, 1979), p. 231, and references therein.
[CrossRef]

G. Wendin, in Photoionization of Atoms and Molecules, Proceedings of the Daresbury Meeting, B. D. Buckley, Ed., Report DL/SCI/R11 (1978), p. 1.

E. E. Koch, B. F. Sonntag, in Topics in Current Physics, Synchrotron Radiation, C. Kunz, Ed. (Springer, Berlin, 1979), p. 269.
[CrossRef]

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Figures (14)

Fig. 1
Fig. 1

Cross section σ, angular distribution parameter β, and average spin polarization P ¯ z of electrons emitted in the autoionizing decay of the Xe 5p5 (2P1/2) nl1P1 resonances as a function of the photon wavelength λ. σ and β are from Ref. 1, P ¯ z from Ref. 2.

Fig. 2
Fig. 2

Illustration of the 4d-ionization in Xe. VHS, Herman-Skillman atomic potential3; Veff, effective potential for the f partial wave. P4d(r), radial wave function for the bound 4d-orbital; P(r), radial wave function for the f partial wave4; , kinetic energy of the photoelectron.

Fig. 3
Fig. 3

4d-ionization in Xe (HS-potential). (Top) cross section σ4d.5 (Bottom) phases of f partial wave (solid line, left scale) and p partial wave (dotted line, right scale).6, kinetic energy of the photoelectron.

Fig. 4
Fig. 4

4d-ionization cross section in Xe as a function of the photon energy. Experimental data: ■, Ref. 7; ×, Ref. 8; the error bars are determined by those of σtot (using 10% in Ref. 7 and 3% in Ref. 8, respectively); the broken line is to guide the eye through the experimental data; dotted line, calculation with the HS-potential.

Fig. 5
Fig. 5

Illustration for the K-shell ionization in N2: V, molecular potential along the internuclear axis (from atomic data); P(Z), radial wave function for the p partial wave4; , kinetic energy of the photoelectron, uppermost curve, radial wave function at resonance (schematically nonhole-localized case, compare Ref. 12).

Fig. 6
Fig. 6

1σg-ionization in N2.13 (Top) cross section σ. (Bottom) sum of eigenphases of all asymptotic channels u with l = 1,3, …, contributions. , kinetic energy of the photoelectron.

Fig. 7
Fig. 7

2σg-shape resonance in N2. ■, Δ, and – . . – are experimental data; …, calculation including the nuclear motion effect (for references see Ref. 14).

Fig. 8
Fig. 8

Illustration for the 2s2p1P1 resonance in He. P(r) the radial part of the configuration wave function in the continuum, approximated by P(r) = [aP2s(rp)P2p(r) + bP1s(rp)Pp(r)]/P1s(rp) with P1s(r), P2s(r), P2p(r), Pp(r) = zero approximation radial functions; rp fixed to 0.5a0; a and b are mixing coefficients, and ˜ = reduced energy variable in units of Γ/2 as in Ref. 15.

Fig. 9
Fig. 9

2s2p1P1 resonance in He, parameters from Ref. 15. (Top) cross section; (bottom) phase shift Δ due to configuration interaction; ˜, reduced energy.

Fig. 10
Fig. 10

Decay channels of the 4d9 (2D5/2) 5s2 5p6 6p1P1 resonance in Xe.18

Fig. 11
Fig. 11

Compilation of threshold laws in photoionization for the cross section σ: Eph, photon energy; ke, momentum; lmin, minimum angular momentum partial wave; Ee, energy of photoelectron.

Fig. 12
Fig. 12

Photodetachment in Rb (schematically but based on experimental data24,25). (Center) total cross section; (lower inset) threshold region of σ5s (theoretical prediction); (upper inset) region of the new σ5p1/2 channel (from Ref. 25). Enormous drop of the σ5s cross section that occurs before the new channels σ5p1/2 and σ5p3/2 open has its origin in a strong resonance of Rb.

Fig. 13
Fig. 13

N4,5–O23O23 Auger spectrum of Xe following the ionization by photons of 110 and 67.75 eV, respectively.29 4d5/2 binding energy is 67.55 eV. (Solid line) prediction of the spectrum based on several contributions.

Fig. 14
Fig. 14

4d-photoionization in Xe. (Top) estimation of the 4d-cross section (guided by available data), p indicates the contribution of this partial wave in the region of the Cooper minimum. (Bottom) 2D5/2: 2D3/2 branching ratio of Xe 4d-ionization. ●, ×, □ = experimental data; solid line, theoretical calculation. Details in Ref. 30.

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