Inversion relations for exclusive and inclusive cross sections within the independent electron approximation

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 58, Issue 3, 1998, Pages 2148-2159

  Sant'Anna M M ^a   Montenegro, E C ^b   McGuire, J H ^c  

^a FLUMINENSE FEDERAL UNIVERSITY   (Brazil)

^b PONTIFICAL CATHOLIC UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^c Tulane University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001560680     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.58.2148     Document Type: Article

References (41)

1. H. J. Lüdde and R. Dreizler, J. Phys. B 18, 107 (1985).JPAMA4
2. P. Kuerpick, W. D. Sepp, and B. Fricke, Phys. Rev. A 51, 3693 (1995).PLRAAN
3. B. H. Bransden and M. R. C. McDowell, Charge Exchange and the Theory of Ion-Atom Collisions (Clarendon, Oxford, 1992).
4. A. L. Ford and J. F. Reading, in Atomic, Molecular and Optical Physics Handbook, edited by G. W. F. Drake (AIP, New York, 1996), pp. 571–577.
5. J. H. McGuire, Electron Correlation Dynamics in Atomic Collisions (Cambridge University Press, Cambridge, 1997);
6. see also Adv. At. Mol. Opt. Phys. 29, 217 (1992).
7. J. H. McGuire and L. Weaver, Phys. Rev. A 16, 41 (1977).PLRAAN
8. R. E. Olson, Phys. Rev. A 36, 1519 (1987).PLRAAN
9. A. L. Ford and J. F. Reading, in High-Energy Ion-Atom Collisions, edited by D. Berényi and G. Hock, Lectures Notes in Physics Vol. 376 (Springer-Verlag, Berlin, 1991), p. 155.
10. I. Ben-Itzhak, T. J. Gray, C. J. Legg, and J. H. McGuire, Phys. Rev. A 37, 3685 (1988).PLRAAN
11. R. D. DuBois and L. H. Toburen, Phys. Rev. A 38, 3960 (1988).PLRAAN
12. R. D. DuBois and S. T. Manson, Phys. Rev. A 35, 2007 (1987).PLRAAN
13. J. H. McGuire, Phys. Rev. Lett. 49, 1153 (1982).PRLTAO
14. I. Ben-Itzhak and J. H. McGuire, Phys. Rev. A 38, 6422 (1988).PLRAAN
15. K. O. Lozhkin, C. J. Patton, P. McCartney, M. M. Sant’Anna, M. B. Shah, J. Geddes, and H. B. Gilbody, J. Phys. B 30, 1785 (1997).JPAPEH
16. T. Matsuo, T. Tonuma, H. Kumagai, and H. Tawara, Phys. Rev. A 50, 1178 (1994).PLRAAN
17. F. S. Roberts, Applied Combinatorics (Prentice-Hall, Englewood Cliffs, NJ, 1984).
18. I. P. Goulden, Combinatorial Enumeration (Wiley, New York, 1983).
19. L. Comtet, Advanced Combinatorics (Reidel, Boston, 1974).
20. C. Berge, Principes de Combinatoire (Dunod, Paris, 1968).
21. T. M. Apostol, Calculus, 2nd ed. (Wiley, New York, 1969), Vol. 2, p. 86.
22. R. A. Langley, D. W. Martin, D. S. Harmer, J. W. Wooper, and E. W. McDaniel, Phys. Rev. A 136, 379 (1964).PRVAAH
23. T. Matsuo, T. Kohno, S. Makino, M. Sano, T. Tonuma, H. Tawara, A. Kitagawa, and T. Murakami, in Proceedings of the Twentieth International Conference on the Physics of Electronic and Atomic Collisions, edited by F. Aumayr, G. Betz, and H. P. Winter (ICPEAC, Vienna, 1997), p. WE155.
24. V. Krishnamurthi, I. Ben-Itzhak, K. D. Carnes, and B. M. Barnes, J. Phys. B 27, L489 (1994).JPAPEH
25. M. Inokuti, Rev. Mod. Phys. 43, 297 (1971).RMPHAT
26. Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (Dover, New York, 1964).
27. I. S. Gradsteyn and I. M. Ryzhik, Table of Integrals, Series and Products (Academic, New York, 1980), p. 1099, No. 12.311. In one dimension, one may use (Formula presented) and (Formula presented) Extension to two dimensions for nonisotropic systems is straightforward.
28. A. L. Ford, L. A. Wehrman, K. A. Hall, and J. F. Reading, J. Phys. B 30, 2889 (1997).JPAPEH
29. H. Berg, R. Dörner, C. Kelbch, S. Kelbch, J. Ullrich, S. Hagmann, P. Richard, H. Schmidt-Böcking, A. S. Schlachter, M. Prior, H. J. Crawford, J. M. Engelange, J. Flores, D. H. Loyd, J. Pedersen, and R. E. Olson, J. Phys. B 21, 3929 (1988).JPAPEH
30. D. S. F. Crothers (unpublished).
31. V. A. Sidorovich, V. S. Nikolaev, and J. H. McGuire, Phys. Rev. A 31, 2193 (1977).PLRAAN
32. M. B. Shah and H. B. Gilbody, J. Phys. B 18, 899 (1984). JPAMA4Double capture for (Formula presented) and (Formula presented) from Atomic Data for Fusion, edited by C. F. Barnett (Oak Ridge National Laboratory, Oak Ridge, TN, 1990).
33. C. L. Cocke, in Atomic, Molecular and Optical Physics Handbook (Ref. 4), pp. 730–741.
34. J. M. Hansteen, O. M. Johnsen, and L. Kockback, At. Data Nucl. Data Tables 15, 305 (1975).ADNDAT
35. CRC Handbook of Physics and Chemistry, 76 ed., edited by D. R. Lide and H. P. R. Frederikse (CRC, Boca Raton, FL, 1996), Chap. 10 pp. 274–279.
36. Y. K. Kim, in Two Center Effects in Ion-Atom Collisions, edited by T. J. Gray and A. F. Starace, AIP Conf. Proc. No. 362 (AIP, Woodbury, NY, 1996), p. 214.APCPCS
37. M. B. Shah and H. B. Gilbody, J. Phys. B 14, 2361 (1981).JPAMA4
38. R. D. DuBois, Phys. Rev. A 36, 2585 (1987).PLRAAN
39. A. Russek, Phys. Rev. 132, 246 (1963).PHRVAO
40. M. B. Shah, C. J. Patton, J. Geddes, and H. B. Gilbody, Nucl. Instrum. Methods Phys. Res. B 98, 280 (1995).NIMBEU
41. M. Charlton, L. H. Andersen, L. Brun-Nielsen, B. I. Deutch, P. Hvelplund, F. M. Jacobsen, H. Knudsen, G. Lariccha, M. R. Poulsen, and J. O. Pedersen, J. Phys. B 21, L545 (1988). JPAPEH