Characterization of high-energy photoionization in terms of the singularities of the atomic potential. II. Beyond K-shell ionization in a many-electron atom, using the example of a two-electron atom in an excited state

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 67, Issue 2, 2003, Pages

  Suric T ^a   Drukarev, E G ^b   Pratt, R H ^c  

^a RUDER BO KOVI INSTITUTE   (Croatia)

^b PETERSBURG NUCLEAR PHYSICS INSTITUTE   (Russian Federation)

^c UNIVERSITY OF PITTSBURGH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ABSORPTION SPECTROSCOPY; ATOMIC PHYSICS; COULOMB BLOCKADE; ELECTRON ENERGY LEVELS; FOURIER TRANSFORM INFRARED SPECTROSCOPY; FOURIER TRANSFORMS; MATRIX ALGEBRA; PHOTOIONIZATION;

EXCITED STATE; HIGH ENERGY PHOTOIONIZATION; K-SHELL IONIZATION;

HIGH ENERGY PHYSICS;

EID: 0037965568     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (20)

1. T. Surić, E. G. Drukarev, and R. H. Pratt, Paper I, Phys. Rev. A 67, 022709 (2003).
2. We will refer to the previous paper [1] and the present paper as Papers I and II, when convenient.
3. H.S. Chakraborty, D.L. Hansen, O. Hemmers, P.C. Deshmukh, P. Focke, I.A. Sellin, C. Heske, D.W. Lindle, and S.T. Manson, Phys. Rev. A 63, 042708 (2001).
4. M.Ya. Amusia, N.B. Avdonina, E.G. Drukarev, S.T. Manson, and R.H. Pratt, Phys. Rev. Lett. 85, 4703 (2000).
5. E.W.B. Dias, H.S. Chakraborty, P.C. Deshmukh, S.T. Manson, O. Hemmers, P. Glans, D.L. Hansen, H. Wang, S.B. Whitfield, D.W. Lindle, R. Wehlitz, J.C. Levin, I.A. Sellin, and R.C.C. Perera, Phys. Rev. Lett. 78, 4553 (1997).
6. D.L. Hansen, O. Hemmers, H. Wang, D.W. Lindle, P. Focke, I.A. Sellin, C. Heske, H.S. Chakraborty, P.C. Deshmukh, and S.T. Manson, Phys. Rev. A 60, R2641 (1999).
7. We write asymptotic total cross sections including the factor S(p) = exp(-πa/p) (which we call the Stobbe factor [1]) since, as we have shown in Paper I and also here, it appears in total cross sections for single and double ionization. It is a slowly converging factor [S(p) → I as ω → ∞] and generally very high energies are required for it to be close to unity. Comparison with experiments performed even at a few keV, of even light atoms, requires inclusion of this factor, except when ratios of cross sections are being considered (for which it cancels out).
8. M. J. Lighthill, Introduction to Fourier Analysis and Generalized Functions (Cambridge University Press, Cambridge, London, 1970).
9. L. Schwartz, Thérie des distributions (Hermann, Paris, 1950)
10. E. C. Titchmarsh, Introduction to the Theory of Fourier Integrals, 2nd ed. (Oxford University Press, New York, 1948)
11. Albert Messiah, Quantum Mechanics (North-Hollan Amsterdam, 1967), pp. 472-473.
12. T. Kato, Commun. Pure Appl. Math. 10, 151 (1957).
13. Russell T. Pack and W. Byers Brown, J. Chem. Phys. 45, 556 (1966).
14. C.R. Myers, C.J. Umrigar, J.P. Sethna, and J.D. Morgan III, Phys. Rev. A 44, 5537 (1991).
15. H. A. Bethe and E. E. Salpeter, Quantum Mechanics of One- and Two-electron Atoms (Springer-Verlag, Berlin, 1957).
16. Y. Qiu, Y.Z. Teng, J. Burgdörfer, and Y. Wang, Phys. Rev. A 57 R1489 (1998).
17. M. Brauner, J.S. Briggs, and H. Klar, J. Phys. B 22, 2265 (1989).
18. As discussed in Paper I, the leading order of the matrix element for photon absorption by one electron bound in a potential with a Coulombic e-N singularity can be obtained accurately in employing first Born approximation with a Coulombic initial state (with specified orbital angular momentum) and the A form of the e-γ interaction. Then the matrix element is just the ordinary three-dimensional asymptotic Fourier transform of the product of the e-γ interaction and the bound-state Coulomb function.
19. R.H. Pratt, in X-Ray and Inner-Shell Processes, edited by R. W. Dunford, D. S. Gemmell, E. P. Kanter, B. Krässig, S. H. Southworth, and L. Young, AIP Conf. Proc. No. 506, (AIP, Melville, New York, 1999), p. 59.
20. Note that in a many-electron atom, additional terms that appear due to electrons in other shells may cause partial cancellations of large correlation effects, as discussed in V.K. Dolmatov, A.S. Baltenkov, and S.T. Manson, Phys. Rev. A 64, 042718 (2001).