Quantum diffraction and threshold law for the Temkin-Poet model of electron-hydrogen ionization

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 59, Issue 6, 1999, Pages 4385-4389

  Miyashita, Naoyuki ^a   Kato, Daiji ^a   Watanabe, Shinichi ^a  

^a UNIVERSITY OF ELECTRO COMMUNICATIONS   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001535539     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.59.4385     Document Type: Article

References (26)

1. I. Bray, Phys. Rev. Lett. 78, 4721 (1997).
2. D. Kato and S. Watanabe, Phys. Rev. Lett. 74, 2443 (1995).
3. D. Kato and S. Watanabe, J. Phys. B 29, L779 (1996)
4. D. KatoS. WatanabePhys. Rev. A 56, 3687 (1997).
5. See also S. Watanabe, D. Kato, and M. Matsuzawa, Comments At. Mol. Phys. 33, 95 (1996).
6. G. Wannier, Phys. Rev. 90, 817 (1953).
7. A. R. P. Rau, Phys. Rev. A 4, 207 (1971).
8. R. Peterkop, J. Phys. B 4, 513 (1971).
9. U. Fano, Phys. Rev. A 22, 2660 (1980).
10. S. Watanabe, J. Phys. B 24, L39 (1991).
11. J. H. Macek and W. Ihra, Phys. Rev. A 55, 2024 (1997).
12. The allowed space makes it impossible to complete an author list. Only a few are mentioned as a suggestion for the reader. For instance, see J. M. Feagin, J. Phys. B 28, 1495 (1995)
13. J. Phys. BD. S. Crothers, 19, 463 (1986)
14. J. Phys. BF. H. Read, 17, 3965 (1984).
15. A. Temkin, Phys. Rev. 126, 130 (1962).
16. R. Poet, J. Phys. B 11, 3081 (1978).
17. G. Handke, M. Draeger, W. I. Ihra, and H. Friedrich, Phys. Rev. A 48, 3699 (1993).
18. Although there is a simple scaling argument that produces the appropriate R dependence of the optical potential, it appears more profitable instead to resort to the following general argument. The equation of motion for the adiabatic channel functions: (Formula presented), where (Formula presented) and (Formula presented) are constants, and may be solved for (Formula presented) by the WKB approximation up to the point (Formula presented) where (Formula presented), which marks the asymptotic region with respect to (Formula presented). The boundary condition that the solution be outgoing leads to a complex-valued potential that scales as (Formula presented). Importantly, this argument based on the standard adiabatic channel equation above is not limited to the series expansion of the potential surface about the ridge.
19. Unlike the real hydrogen atom, there is no need for the Bogoliubov 8 transformation to incorporate the nonadiabatic effects to this order.
20. A. Temkin, Phys. Rev. Lett. 16, 835 (1966);and (unpublished).
21. F. Robicheax, M. S. Pindzola, and D. R. Plante, Phys. Rev. A 55, 3573 (1997).
22. M. P. Scott, P. G. Burke, K. Barschat, and I. Bray, J. Phys. B 30, L309 (1997).Their fitted coefficient (Formula presented) differs from ours by about factor of 2. This is most likely due to their matching radius set to 150 a.u., too small for resolving the threshold energy region for an unequivocal determination of (Formula presented).
23. J. M. Rost, Phys. Rev. Lett. 72, 1998 (1994).
24. R. Peterkop, Theory of Ionization of Atom by Electron Impact (Colorado Associated University Press, Boulder, 1977).
25. R. Peterkop and A. Liepinsh, J. Phys. B 14, 4125 (1981).
26. For instance, A. K. Kazansky, V. N. Ostrovsky, and L. Yu. Sergeeva, J. Phys. B 19, 5197 (1994);J. H. Macek (private communication).