Skip to main content
Log in

Many-particle effects in resonant inelastic scattering of an X-ray photon by an atom

  • Atoms, Molecules, Optics
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

Abstract

The influence of many-particle effects on the shape and values of the double differential cross section for the resonant inelastic scattering of a linearly polarized X-ray photon by a free atom near the K and KL 23 ionization thresholds has been theoretically analyzed for the neon atom. The calculations have been performed using the nonrelativistic Hartree-Fock approximation for single-electron wavefunctions and the dipole approximation for the anomalous dispersion component of the cross section. The analytical structure of the contact part of the scattering cross section has been obtained beyond the dipole approximation. The effects of the radial relaxation of electron shells, spin-orbit and multiplet splitting, and configuration interaction in the doubly excited atomic states, as well as the Auger and radiative decays of the produced vacancies, are taken into account. The nature and role of the effect of correlation amplitudes, which is responsible for the appearance of the nonzero amplitudes of nonradiative transitions between intermediate and final single-electron states of the same symmetry that are obtained in different Hartree-Fock fields, have been analyzed also. The calculations are predictive and, for an incident-photon energy of 5.41 keV, agree well with experimental results for the Kα X-ray emission spectrum of the neon atom.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. C.-C. Kao, K. Hamalainen, M. Krisch, et al., Rev. Sci. Instrum. 66, 1699 (1995).

    Article  ADS  Google Scholar 

  2. P. P. Kane, L. Kissel, R. H. Pratt, and S. C. Roy, Phys. Rep. 140, 75 (1986).

    Article  ADS  Google Scholar 

  3. A. N. Khoperskii and V. A. Yavna, Photon Scattering by a Multielectron System (Énergoatomizdat, Moscow, 2004) [in Russian].

    Google Scholar 

  4. G. S. Landsberg and L. I. Mandelstam, Z. Phys. 50, 769 (1928).

    Google Scholar 

  5. C. V. Raman, Indian J. Phys. 2, 387 (1928).

    Google Scholar 

  6. A. H. Compton, Phys. Rev. 21, 483 (1923).

    ADS  Google Scholar 

  7. M. A. MacDonald, S. H. Southworth, J. C. Levin, et al., Phys. Rev. A 51, 3598 (1995).

    Article  ADS  Google Scholar 

  8. T. Åberg and J. Tulkki, in Atomic Inner-Shell Physics, Ed. by B. Crasemann (Plenum, New York, 1985), Chap. 10.

    Google Scholar 

  9. V. Schmidt, Rep. Prog. Phys. 55, 1483 (1992).

    Article  ADS  Google Scholar 

  10. P. P. Kane, Phys. Rep. 218, 67 (1992).

    Article  ADS  Google Scholar 

  11. H. Daido, Rep. Prog. Phys. 65, 1513 (2002).

    Article  ADS  Google Scholar 

  12. K. Moribayashi, T. Kagawa, and D. E. Kim, Nucl. Instrum. Methods Phys. Res. B 205, 334 (2003).

    ADS  Google Scholar 

  13. N. H. March, W. H. Young, and S. Sampanthar, The Many-Body Problem in Quantum Mechanics (Cambridge Univ. Press, Cambridge, 1967; Mir, Moscow, 1969).

    Google Scholar 

  14. A. N. Hopersky and V. V. Chuvenkov, J. Phys. B: At. Mol. Opt. Phys. 36, 2987 (2003).

    Article  ADS  Google Scholar 

  15. A. Costescu, P. M. Bergstrom, Jr., C. Dinu, and R. H. Pratt, Phys. Rev. A 50, 1390 (1994).

    Article  ADS  Google Scholar 

  16. M. Ya. Amusia and N. A. Cherepkov, Case Stud. At. Phys. 5, 47 (1975).

    Google Scholar 

  17. R. Karaziya, Introduction to the Theory of X-ray and Electron Spectra of Free Atoms (Mokslas, Vilnius, 1987) [in Russian].

    Google Scholar 

  18. J. H. Hubbell, Radiat. Phys. Chem. 50, 113 (1997).

    Article  ADS  Google Scholar 

  19. P. Eisenberger and P. M. Platzmann, Phys. Rev. A 2, 415 (1970).

    ADS  Google Scholar 

  20. D. A. Owen, Phys. Rev. A 16, 1594 (1977).

    ADS  Google Scholar 

  21. J. L. Campbell and T. Papp, At. Data Nucl. Data Tables 77, 1 (2001).

    Article  ADS  Google Scholar 

  22. A. Hibbert, M. Le Dourneuf, and M. Mohan, At. Data Nucl. Data Tables 53, 23 (1993).

    Article  ADS  Google Scholar 

  23. K.-N. Huang, M. Aoyagi, M. H. Chen, et al., At. Data Nucl. Data Tables 18, 243 (1976).

    Article  ADS  Google Scholar 

  24. A. N. Hopersky, V. A. Yavna, A. M. Nadolinsky, and D. V. Dzuba, J. Phys. B: At. Mol. Opt. Phys. 37, 2511 (2004).

    ADS  Google Scholar 

  25. O. Keski-Rahkonen, Phys. Scr. 4, 173 (1973).

    ADS  Google Scholar 

  26. V. L. Sukhorukov, A. N. Hopersky, I. D. Petrov, et al., J. Phys. (Paris) 48, 45 (1987).

    Google Scholar 

  27. J. M. Esteva, B. Gauthe, P. Dhez, and R. C. Karnatak, J. Phys. B: At. Mol. Phys. 16, L263 (1983).

    Article  ADS  Google Scholar 

  28. L. Avaldi, R. Camilloni, G. Stefani, et al., J. Phys. B: At. Mol. Opt. Phys. 29, L737 (1996).

    Article  ADS  Google Scholar 

  29. M. Oura, H. Yamaoka, Y. Senba, et al., Phys. Rev. A 70, 062502 (2004).

  30. R. K. Nesbet, Phys. Rev. 155, 56 (1967).

    ADS  Google Scholar 

  31. M. C. Reed and B. Simon, Methods of Modern Mathematical Physics (Academic, New York, 1972; Mir, Moscow, 1977), Vol. 1.

    Google Scholar 

  32. A. Messiah, Quantum Mechanics (Interscience, New York, 1961; Nauka, Moscow, 1978), Vol. 1.

    Google Scholar 

  33. O. Wilhelmi, G. Mentzel, B. Zimmermann, et al., J. Electron Spectrosc. Relat. Phenom. 101–103, 155 (1999).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 128, No. 4, 2005, pp. 698–713.

Original Russian Text Copyright © 2005 by Hopersky, Nadolinsky, Yavna.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hopersky, A.N., Nadolinsky, A.M. & Yavna, V.A. Many-particle effects in resonant inelastic scattering of an X-ray photon by an atom. J. Exp. Theor. Phys. 101, 597–610 (2005). https://doi.org/10.1134/1.2131928

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.2131928

Keywords

Navigation