Interpretation of relativistic [Formula Presented] experiments in coplanar asymmetric geometry: Atomic-number-dependent effects

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 59, Issue 2, 1999, Pages 1284-1290

  Keller, S ^a   Dreizler, R M ^a   Ancarani, L U ^b   Ast, H ^a   Walters, H R J ^c   Whelan, C T ^d  

^a GOETHE UNIVERSITY   (Germany)

^b UNIVERSITY OF LIÈGE   (Belgium)

^c QUEEN'S UNIVERSITY BELFAST   (United Kingdom)

^d UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0007391375     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.59.1284     Document Type: Article

References (30)

1. C. Møller, Z. Phys. 70, 786 (1931).
2. H. Bethe, Z. Phys. 76, 293 (1933).
3. B. L. Moiseiwitsch, Adv. At. Mol. Phys. 16, 281 (1980).
4. E. Schüle and W. Nakel, J. Phys. B 15, L539 (1982).
5. R. M. Dreizler, H. R. J. Walters, C. T. Whelan, H. Ast, and S. Keller, in Coincidence Studies of Electron and Photon Impact Ionization, edited by C. T. Whelan and H. R. J. Walters (Plenum, New York, 1997), p. 199.
6. X. Zhang, C. T. Whelan, H. R. J. Walters, R. J. Allan, P. Bickert, W. Hink, and S. Schönberger, J. Phys. B 25, 4325 (1992).
7. H. Ast, S. Keller, C. T. Whelan, H. R. J. Walters, and R. M. Dreizler, Phys. Rev. A 50, R1 (1994).
8. S. Keller, C. T. Whelan, H. Ast, H. R. J. Walters, and R. M. Dreizler, Phys. Rev. A 50, 3865 (1994).
9. S. Keller and R. M. Dreizler, Phys. Rev. A 57, 3652 (1998).
10. K. H. Besch, M. Sauter, and W. Nakel, J. Phys. B 30, L73 (1997).
11. M. Sauter, N. Keller, and W. Nakel, J. Phys. B31, 2947 (1998).
12. H. Ehrhardt, Comments At. Mol. Phys. 13, 115 (1983)
13. H. Ehrhardt, K. Jung, G. Knöth, and P. Schlemmer, Z. Phys. D 1, 3 (1986).
14. Notice that we use a definition of the coplanar angles (Formula presented) in (Formula presented) that is related to conventional spherical coordinates (Formula presented) by (Formula presented)
15. C. Itzykson and J. B. Zuber, Quantum Field Theory (McGraw-Hill, New York, 1980).
16. H. Bethe, Ann. Phys. (Leipzig) 5, 325 (1930).
17. S. Keller, R. M. Dreizler, L. U. Ancarani, H. R. J. Walters, H. Ast, and C. T. Whelan, Z. Phys. D 37, 191 (1996).
18. For example, in Coulomb gauge, (Formula presented) is the usual Coulomb interaction, whereas (Formula presented) the “generalized Breit interaction,” includes all magnetic and retardation effects.
19. R. M. Dreizler, H. Ast, S. Keller, C. T. Whelan, L. U. Ancarani, and H. R. J. Walters, J. Phys. B 30, L77 (1997).
20. The same effect has previously been observed in coplanar symmetric and perpendicular plane geometries at nonrelativistic energies. See X. Zhang, C. T. Whelan, and H. R. J. Walters, J. Phys. B 23, L173 (1990)
21. J. Phys. BX. ZhangC. T. WhelanH. R. J. Walters23, L509 (1990), and references therein.
22. H. Ast, S. Keller, R. M. Dreizler, C. T. Whelan, L. U. Ancarani, and H. R. J. Walters, J. Phys. B 29, L585 (1996).
23. The results shown in the lower part of Figs. 33 and 44, as well as in Figs. 77 and 88, have been obtained before the kinematics of the experiment 11 were determined, hence the slightly different energy sharings. It is obvious, and has been explicitly verified, that the differences in calculated TDCS and asymmetries are negligible.
24. See, e.g., H. R. J. Walters, Phys. Rep. 116, 1 (1984)
25. J. S. Briggs, Comments At. Mol. Phys. 23, 155 (1989).
26. For the copper case, the exchange contribution is still smaller, see 9.
27. S. Keller, R. M. Dreizler, H. Ast, C. T. Whelan, and H. R. J. Walters, Phys. Rev. A 53, 2295 (1996).
28. H.-Th. Prinz, K.-H. Besch, and W. Nakel, Phys. Rev. Lett. 74, 243 (1995).
29. S. Keller and C. T. Whelan, J. Phys. B 27, L771 (1994).
30. M. Sauter, H. Ott, and W. Nakel, J. Phys. B31, 2967 (1998).