Wave-packet continuum discretization method for solving the three-body scattering problem

Theoretical and Mathematical Physics

Volumn 150, Issue 3, 2007, Pages 403-424

  Kukulin, V I ^a   Pomerantsev, V N ^a   Rubtsova, O A ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

Discretization of the continuum; Few body system; Quantum scattering theory

Indexed keywords

EID: 33947372098     PISSN: 00405779     EISSN: 15739333     Source Type: Journal    
DOI: 10.1007/s11232-007-0030-3     Document Type: Article

References (35)

1. L. D. Faddeev, JETP, 12, 1014 (1961);
2. S. P. Merkur'ev and L. D. Faddeev, Quantum Scattering Theory for Few-Body Systems [in Russian], Nauka, Moscow (1985);
3. English transi.: L. D. Faddeev and S. P. Merkuriev, Quantum Scattering Theory for Several Particle Systems (Math. Phys. Appl. Math., Vol. 11), Kluwer, Dordrecht (1993).
4. E. W. Schmid and H. Ziegelmann, The Quantum Mechanical Three-Body Problem, Pergamon, Braunschweig (1974).
5. C. Gignoux and A. Laverne, Phys. Rev. Lett., 29, 436 (1972);
6. N. W. Schellingerhout, "Numerical methods in configuration-space A = 3, 4 bound-state and scattering calculations," in: Few-Body Problems in Physics '93: Proc. 14th European Conf. on Few-Body Problems in Physics, Amsterdam, the Netherlands, August 23-27, 1993 (Few-body Systems Supplement, Vol. 7, B. L. G. Bakker and R. van Dantzig, eds.), Springer, New York (1994), p. 361;
7. M. Suslov and B. Vlahovic, Phys. Rev. C, 69, 044003 (2004);
8. F. Ciesielski and J. Carbonell, Phys. Rev. C, 58, 58 (1998).
9. W. Glöckle et al., Phys. Rep., 274, 107 (1996).
10. R. Lazauskas and J. Carbonell, Phys. Rev. C, 70, 044002 (2004).
11. W. Shadow, C. Elster, and W. Glöckle, Few-Body Syst., 28, 15 (2000); nucl-th/99030020 (1999).
12. H. A. Yamani and M. S. Abdelmonem, J. Phys. B, 30, 1633 (1997);
13. S. A. Zaitsev, Yu. F. Smirnov, and A. M. Shirokov, Theor. Math. Phys., 117, 1291 (1998).
14. J. J. Bevelacqua and R. J. Philpott, Nucl. Phys. A, 275, 301 (1977).
15. N. Austern, C. M. Vincent, and J. P. Farrell, Ann. Phys. (New York), 96, 333 (1976);
16. 114, 93 (1978).
17. H. Amakawa et al., Phys. Rev. C, 23, 583 (1981).
18. R. Y. Rasoanaivo and G. H. Rawitscher, Phys. Rev. C, 39, 1709 (1989);
19. T. Matsumoto et al., Phys. Rev. C, 68, 064607 (2003).
20. J. R. Winick and W. P. Reinhardt, Phys. Rev. A, 18, 910, 925 (1978).
21. M. Cizek, J. Horacek, and H.-D. Meyer, Comput. Phys. Comm., 131, 41 (2000).
22. V. D. Efros, W. Leidemann, and G. Orlandini, Phys. Rev. C, 58, 582 (1998).
23. Z. Papp and W. Plessas, Phys. Rev. C, 54, 50 (1996);
24. Z. Papp and S. L. Yakovlev, "The three-body Coulomb scattering problem in discrete Hubert-space basis representation," nucl-th/9903078 (1999);
25. Z. Papp et al., Phys. Rev. A, 63, 062721 (2001).
26. V. I. Kukulin and O. A. Rubtsova, Theor. Math. Phys., 130, 54 (2002);
27. 134, 404 (2003);
28. 139, 693 (2004).
29. V. I. Kukulin and O. A. Rubtsova, Theor. Math. Phys., 145, 1711 (2005).
30. A. Baz, Ya. Zeldovich, and A. Perelomov, Scattering, Reactions, and Decays in Nonrelativistic Quantum Mechanics [in Russian], Nauka, Moscow (1971);
31. English transi., Israel Program for Scientific Translations, Jerusalem (1969).
32. R. Kozack and F. S. Levin, Phys. Rev. C, 36, 883 (1987).
33. O. A. Rubtsova and V. I. Kukulin, Phys. Atomic Nuclei, 64, 1689 (2001).
34. W. Glöckle, The Quantum Mechanical Few-Body Problem, Springer, Berlin (1983).
35. C. R. Chen, G. L. Payne, J. L. Friar, and B. F. Gibson, Phys. Rev. C, 39, 1261 (1989).