Stable complex-rotation eigenvalues that correspond to no full resonances in scattering: Examples in positron scattering by the helium ion

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 70, Issue 1, 2004, Pages

  Igarashi, Akinori ^a   Shimamura, Isao ^b  

^a UNIVERSITY OF MIYAZAKI   (Japan)

^b INST OF PHYS AND CHEMICAL RESEARCH   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

COLLISION INTERACTION; COMPLEX-ROTATION METHOD (CRM); HELIUM IONS; POSITRON SCATTERING;

EIGENVALUES AND EIGENFUNCTIONS; ELECTRON TUNNELING; HAMILTONIANS; HELIUM; MATHEMATICAL MODELS; POSITRONS; RESONANCE;

ELECTROMAGNETIC WAVE SCATTERING;

EID: 69649108455     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.70.012706     Document Type: Article

References (25)

1. Y. K. Ho, Phys. Rep. 99, 1 (1983).
2. N. Moiseyev, Phys. Rep. 302, 211 (1998).
3. Y. K. Ho, Phys. Rev. A 53, 3165 (1996).
4. Y. K. Ho and Z.-C. Yan, Phys. Rev. A 66, 062705 (2002).
5. A. K. Bhatia and R. J. Drachman, Phys. Rev. A 42, 5117 (1990).
6. A. Igarashi and I. Shimamura, Phys. Rev. A 56, 4733 (1997).
7. B. H. Bransden, C. J. Noble, and R. J. Whitehead, J. Phys. B 34, 2267 (2001).
8. A. Igarashi, A. Ohsaki, and S. Nakazaki, in Abstracts of Contributed Papers, 21st International Conference on the Physics of Electronic and Atomic Collisions, Sendai, 1999, edited by Y. Itikawa et al. (unpublished), p. 413.
9. F. T. Smith, Phys. Rev. 118, 349 (1960). In fact, this paper refers to the matrix Q, introduced there, as the lifetime matrix, and discusses its difference from what may be more appropriately called the delay-time matrix, introduced in Eisenbud's unpublished thesis. In the later literature, however, Q is more often referred to as time-delay matrix.
10. A. Igarashi and N. Toshima, Phys. Rev. A 50, 232 (1994); A. Igarashi, N. Toshima, and T. Shirai, ibid. 50, 4951 (1994); A. Igarashi, I. Shimamura, and N. Toshima, ibid. 58, 1166 (1998); New J. Phys. 2, 17 (2000).
11. A. Igarashi and N. Toshima, Phys. Rev. A 50, 232 (1994); A. Igarashi, N. Toshima, and T. Shirai, ibid. 50, 4951 (1994); A. Igarashi, I. Shimamura, and N. Toshima, ibid. 58, 1166 (1998); New J. Phys. 2, 17 (2000).
12. A. Igarashi and N. Toshima, Phys. Rev. A 50, 232 (1994); A. Igarashi, N. Toshima, and T. Shirai, ibid. 50, 4951 (1994); A. Igarashi, I. Shimamura, and N. Toshima, ibid. 58, 1166 (1998); New J. Phys. 2, 17 (2000).
13. A. Igarashi and N. Toshima, Phys. Rev. A 50, 232 (1994); A. Igarashi, N. Toshima, and T. Shirai, ibid. 50, 4951 (1994); A. Igarashi, I. Shimamura, and N. Toshima, ibid. 58, 1166 (1998); New J. Phys. 2, 17 (2000).
14. +(1s) channel is removed artificially from the HSCC calculation.
15. A. U. Hazi, Phys. Rev. A 19, 920 (1979).
16. L. Celenza and W. Tobocman, Phys. Rev. 174, 1115 (1968).
17. M. Gailitis and R. Damburg, Proc. Phys. Soc. London 82, 192 (1963).
18. I. Shimamura, Phys. Rev. A 40, 4863 (1989).
19. H. Feshbach, Ann. Phys. (N.Y.) 19, 287 (1962).
20. R. J. Drachman, Phys. Rev. A 15, 1430 (1977).
21. D. Bohm, Quantum Mechanics (Prentice-Hall, New York, 1951), Chap. 11
22. E. P. Wigner, Phys. Rev. 98, 145 (1955).
23. See, e.g., J. M. Blatt and V. F. Weisskopf, Theoretical Nuclear Physics (Springer, New York, 1979), Chap. X.
24. J. Macek, Phys. Rev. A 2, 1101 (1970).
25. P. G. Burke, J. W. Cooper, and S. Ormonde, Phys. Rev. 183, 245 (1969).