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Double photoionization of helium: a generalized Sturmian approach

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Abstract

In this work we study the double photoionization of helium induced by low intensities laser fields in the regime where only one photon absorption occurs. The method proposed here is based on a Generalized Sturmian Functions (GSF) spectral approach which allows the imposition of outgoing boundary conditions for both ejected electrons. These, in turn, construct an hyperspherical flux characteristic of double continuum wave functions. We compare our calculated cross sections at 20 and 40 eV above threshold with absolute and relative measurements, and with other calculations. Our results definitively demonstrate the applicability of the GSF approach for dealing with break-up Coulomb problems.

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References

  1. G. Gasaneo et al., Adv. Quantum Chem. Chap. 67, 153 (2013)

    Article  Google Scholar 

  2. H. Shull, P.O. Löwdin, J. Chem. Phys. 30, 617 (1959)

    Article  ADS  Google Scholar 

  3. M. Rotenberg, Ann. Phys. 19, 262 (1962)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. M. Rotenberg, Adv. At. Mol. Phys. 6, 233 (1970)

    Article  ADS  Google Scholar 

  5. J.M. Randazzo, L.U. Ancarani, G. Gasaneo, A.L. Frapiccini, F.D. Colavecchia, Phys. Rev. A 81, 042520 (2010)

    Article  ADS  Google Scholar 

  6. J.M. Randazzo, F. Buezas, A.L. Frapiccini, F.D. Colavecchia, G. Gasaneo, Phys. Rev. A 84, 052715 (2011)

    Article  ADS  Google Scholar 

  7. A.L. Frapiccini et al., J. Phys. B 43, 101001 (2010)

    Article  ADS  Google Scholar 

  8. G. Gasaneo, D.M. Mitnik, J.M. Randazzo, L.U. Ancarani, F.D. Colavecchia, Phys. Rev. A 87, 042707 (2013)

    Article  ADS  Google Scholar 

  9. J.N. Das, K. Chakrabarti, S. Paul, J. Phys. B 36, 2707 (2003)

    Article  ADS  Google Scholar 

  10. R. Dörner et al., Phys. Rev. Lett. 76, 2654 (1996)

    Article  ADS  Google Scholar 

  11. R. Wehlitz et al., J. Phys. B 30, L51 (1997)

    Article  ADS  Google Scholar 

  12. J.A.R. Samson et al., Phys. Rev. A 57, 1906 (1998)

    Article  ADS  Google Scholar 

  13. V. Mergel et al., Rev. Lett. 80, 5301 (1998)

    Article  ADS  Google Scholar 

  14. H. Bräuning et al., J. Phys. B 31, 5149 (1998)

    Article  ADS  Google Scholar 

  15. S. Cvejanovic et al., J. Phys. B 33, 265 (2000)

    Article  ADS  Google Scholar 

  16. P. Bolognesi et al., J. Phys. B 34, 3193 (2001)

    Article  ADS  Google Scholar 

  17. J.P. Wightman, S. Cvejanovic, T.J. Reddish, J. Phys. B 31, 1753 (1998)

    Article  ADS  Google Scholar 

  18. K. Soejima, A. Danjo, K. Okuno, A. Yagishita, Phys. Rev. Lett. 83, 1546 (1999)

    Article  ADS  Google Scholar 

  19. R. Wehlitz et al., Phys. Rev. Lett. 67, 3764 (1991)

    Article  ADS  Google Scholar 

  20. J. Mazeau, P. Selles, D. Waymel, A. Huetz, Phys. Rev. Lett. 67, 820 (1991)

    Article  ADS  Google Scholar 

  21. J. Ullrich et al., J. Phys. B 30, 2917 (1997)

    Article  ADS  Google Scholar 

  22. C.W. McCurdy, D.A. Horner, T.N. Rescigno, F. Martín, Phys. Rev. A 69, 032707 (2004)

    Article  ADS  Google Scholar 

  23. F. Maulbetsch, J.S. Briggs, J. Phys. B 26, 1679 (1993)

    Article  ADS  Google Scholar 

  24. D. Proulx, R. Shakeshaft, Phys. Rev. A 48, R875 (1993)

    Article  ADS  Google Scholar 

  25. A.S. Kheifets, I. Bray, J. Phys. B 31, L447 (1998)

    Article  ADS  Google Scholar 

  26. J. Colgan, M.S. Pindzola, F. Robicheaux, J. Phys. B 34, L457 (2001)

    Article  ADS  Google Scholar 

  27. P. Selles, L. Malegat, A.K. Kazansky, Phys. Rev. A 65, 032711 (2002)

    Article  ADS  Google Scholar 

  28. M. Pont, R. Shakeshaft, Phys. Rev. A 51, 494 (1995)

    Article  ADS  Google Scholar 

  29. E. Foumouo, G.L. Kamta, G. Edah, B. Piraux, Phys. Rev. A 74, 063409 (2006)

    Article  ADS  Google Scholar 

  30. T.K. Nandi et al., J. Phys. A 29, 1101 (1996)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  31. F.L. Yip, Efficient Representations of Continuum States for Photoionization Processes from Atomic and Molecular Targets, Ph.D. thesis, University of California, Berkeley, 2008

  32. R. Peterkop, Theory of ionization of atoms by electron impact (Colorado Associated University Press, Boulder, 1977)

  33. D.M. Mitnik et al., Comput. Phys. Commun. 182, 1145 (2011)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  34. G.W.F. Drake, Springer Handbook of Atomic, Molecular, and Optical Physics (Springer, New York, 2006)

  35. J.M. Randazzo, A.L. Frapiccini, F.D. Colavecchia, G. Gasaneo, Phys. Rev. A 79, 022507 (2009)

    Article  ADS  Google Scholar 

  36. G.I. Marchuk, Methods of numerical mathematics, 1st edn. (Springer, New York, 1982)

  37. B.H. Bransden, C.J. Joachain, Physics of atoms and molecules (Addison-Wesley, Harlow, 2003)

  38. E. Anderson et al., D. LAPACK Users’ Guide (Society for Industrial and Applied Mathematics, Philadelphia, 1999)

  39. L. Blackford et al., ScaLAPACK Users Guide (Society for Industrial and Applied Mathematics, Philadelphia, 1997)

  40. M. Baertschy, T.N. Rescigno, W.A. Isaacs, X. Li, C.W. McCurdy, Phys. Rev. A 63, 022712 (2001)

    Article  ADS  Google Scholar 

  41. A.S. Kheifets, I. Bray, Phys. Rev. A 65, 022708 (2002)

    Article  ADS  Google Scholar 

Download references

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Randazzo, J., Mitnik, D., Gasaneo, G. et al. Double photoionization of helium: a generalized Sturmian approach. Eur. Phys. J. D 69, 189 (2015). https://doi.org/10.1140/epjd/e2015-60113-9

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  • DOI: https://doi.org/10.1140/epjd/e2015-60113-9

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