Momentum space integral equations for three charged particles: Nondiagonal kernels

Physical Review C - Nuclear Physics

Volumn 61, Issue 6, 2000, Pages 640061-6400630

  Mukhamedzhanov, A M ^a   Alt, E O ^b   Avakov, G V ^c  

^a TEXAS A AND M UNIVERSITY   (United States)

^b JOHANNES GUTENBERG UNIVERSITY   (Germany)

^c MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 12944300395     PISSN: 05562813     EISSN: 1089490X     Source Type: Journal    
DOI: 10.1103/PhysRevC.61.064006     Document Type: Article

References (40)

1. [1] L. D. Faddeev, Zh. Éksp. Teor. Fiz. 39, 1459 (1961) [Sov. Phys. JETP 12, 1014 (1961)]; Mathematical Aspects of the Three-Body Problem in the Quantum Scattering Theory: Israel Program for Scientific Translations, Jerusalem, 1965.
2. [1] L. D. Faddeev, Zh. Éksp. Teor. Fiz. 39, 1459 (1961) [Sov. Phys. JETP 12, 1014 (1961)]; Mathematical Aspects of the Three-Body Problem in the Quantum Scattering Theory: Israel Program for Scientific Translations, Jerusalem, 1965.
3. [2] J. D. Dollard, J. Math. Phys. 5, 729 (1964); Rocky Mt. J. Math. 1, 5 (1971).
4. [2] J. D. Dollard, J. Math. Phys. 5, 729 (1964); Rocky Mt. J. Math. 1, 5 (1971).
5. [3] L. A. Sakhnovich, Teor. Mat. Fiz. 13, 421 (1972).
6. [4] H. Kroger, in Coulomb Interactions in Nuclear and Atomic Few-Body Collisions, edited by F. S. Levin and D. Micha (Plenum, New York, 1996), p. 169.
7. [5] C. Chandler, Nucl. Phys. A353, 129c (1981).
8. [6] E. O. Alt, in Few Body Methods: Principles and Applications, edited by T. K. Lim, C. G. Bao, D. P. Hou, and H. S. Huber (World Scientific, Singapore, 1986), p. 239.
9. [7] J. V. Noble, Phys. Rev. 161, 945 (1967).
10. [8] Gy. Bencze, Nucl. Phys. A196, 135 (1972).
11. [9] S. P. Merkuriev, Ann. Phys. (N.Y.) 130, 395 (1980); Acta Phys. Austriaca, Suppl. XXIII, 65 (1981).
12. [9] S. P. Merkuriev, Ann. Phys. (N.Y.) 130, 395 (1980); Acta Phys. Austriaca, Suppl. XXIII, 65 (1981).
13. [10] S. P. Merkuriev and L. D. Faddeev, Quantum Scattering Theory for Systems of Few Particles (Nauka, Moscow, 1985) (in Russian).
14. [11] E. O. Alt and A. M. Mukhamedzhanov, Pis'ma Zh. Éksp. Teor. Fiz. 56, 450 (1992) [JETP Lett. 56, 435 (1992)]; Phys. Rev. A 47, 2004 (1993).
15. [11] E. O. Alt and A. M. Mukhamedzhanov, Pis'ma Zh. Éksp. Teor. Fiz. 56, 450 (1992) [JETP Lett. 56, 435 (1992)]; Phys. Rev. A 47, 2004 (1993).
16. [12] A. M. Veselova, Theor. Math. Phys. 3, 542 (1970); 13, 369 (1972).
17. [12] A. M. Veselova, Theor. Math. Phys. 3, 542 (1970); 13, 369 (1972).
18. [13] L. D. Faddeev, in Three Body Problem in Nuclear and Particle Physics, edited by J. S. C. McKee and P. M. Rolph (North-Holland, Amsterdam, 1970). p. 154.
19. [14] E. O. Alt, W. Sandhas, and H. Ziegelmann, Phys. Rev. C 17, 1981 (1978).
20. [15] E. O. Alt and W. Sandhas, Phys. Rev. C 21, 1733 (1980).
21. [16] E. O. Alt, P. Grassberger, and W. Sandhas, Nucl. Phys. B2, 167 (1967).
22. [17] E. O. Alt and W. Sandhas, in Few Body Systems and Nuclear Forces, edited by H. F. K. Zingl, M. Haftel, and H. Zankel (Springer, Berlin, 1978), p. 373.
23. [18] E. O. Alt and W. Sandhas, in Coulomb Interactions in Nuclear and Atomic Few-Body Collisions [4], p. 1.
24. [19] J. Schwinger, J. Math. Phys. 5, 1606 (1964).
25. [20] H. van Haeringen, Nucl. Phys. A327, 77 (1979).
26. [21] E. O. Alt and A. M. Mukhamedzhanov, Phys. Rev. A 51, 3852 (1995).
27. [22] P. J. Redmond (unpublished).
28. [23] L. Rosenberg, Phys. Rev. D 8, 1833 (1973).
29. [24] E. O. Alt and W. Sandhas, Phys. Rev. C 18, 1088 (1978).
30. [25] H. van Haeringen, Charged-particle interactions. Theory and Formulas (Coulomb, Leyden, 1985).
31. [26] A. Nordsieck, Phys. Rev. 93, 785 (1954).
32. [27] P. O. Dhamalov and E. I. Dolinskii, Yad. Fiz. 14, 753 (1971) [Sov. J. Nucl. Phys. 14, 423 (1972)].
33. [27] P. O. Dhamalov and E. I. Dolinskii, Yad. Fiz. 14, 753 (1971) [Sov. J. Nucl. Phys. 14, 423 (1972)].
34. [28] L. D. Blokhintsev, I. Borbely, and E. I. Dolinskii, Fiz. Elem. Chastits At. Yadra 8, 1189 (1977) [Sov. J. Part. Nucl. 8, 485 (1977)].
35. [29] Handbook of Mathematical Functions, edited by M. Abramovitz and I. A. Stegun (Dover, New York, 1986).
36. [30] H. van Haeringen, Nucl. Phys. A253, 355 (1975).
37. [31] S. P. Merkuriev, Theor. Math. Phys. 32, 680 (1977).
38. [32] M. Brauner, J. S. Briggs, and H. J. Klar, J. Phys. B 22, 2265 (1989).
39. [33] A. M. Mukhamedzhanov and M. Lieber, Phys. Rev. A 54, 3078 (1997).
40. [34] I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic, San Diego, 1980).