Order α7ln(1/α) contribution to positronium hyperfine splitting

Physical Review Letters

Volumn 85, Issue 24, 2000, Pages 5094-5097

  Kniehl, Bernd A ^a   Penin, Alexander A ^a,b  

^a UNIVERSITY OF HAMBURG   (Germany)

^b INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ELECTRODYNAMICS; ELECTRONS; GROUND STATE; INTEGRATION; MOLECULAR DYNAMICS; PARTIAL DIFFERENTIAL EQUATIONS; PHOTONS; POSITRONS; QUANTUM THEORY;

HAMILTONIANS; LOGARITHMS; NONRELATIVISTIC QUANTUM ELECTRODYNAMICS; POSITRONIUM; POSITRONIUM HYPERFINE SPLITTING;

MOLECULAR PHYSICS;

EID: 0034429976     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.85.5094     Document Type: Article

References (49)

1. A. P. Mills, Jr. and G. H. Bearman, Phys. Rev. Lett., 34, 246 (1975)
2. A. P. Mills, Jr., Phys. Rev. A, 27, 262 (1983).
3. M. W. Ritter, P. O. Egan, V. W. Hughes, and K. A. Woodle, Phys. Rev. A, 30, 1331 (1984).
4. J. Pirenne, Arch. Sci. Phys. Nat., 29, 265 (1947)
5. V. B. Berestetski and L. D. Landau, Zh. Eksp. Teor. Fiz., 19, 673 (1949)
6. R. A. Ferrell, Phys. Rev., 84, 858 (1951).
7. R. Karplus and A. Klein, Phys. Rev., 87, 848 (1952).
8. G. T. Bodwin and D. R. Yennie, Phys. Rep., 43, 267 (1978).
9. W. E. Caswell and G. P. Lepage, Phys. Rev. A, 20, 36 (1979).
10. S. J. Brodsky and G. W. Erickson, Phys. Rev., 148, 26 (1966)
11. R. Barbieri, J. A. Mignaco, and E. Remiddi, Nuovo Cimento Soc. Ital. Fis., 11A, 824 (1972).
12. G. S. Adkins, M. H. T. Bui, and D. Zhu, Phys. Rev. A, 37, 4071 (1988)
13. G. S. Adkins, Y. M. Aksu, and M. H. T. Bui, Phys. Rev. A, 47, 2640 (1993)
14. G. S. Adkins, R. N. Fell, and P. M. Mitrikov, Phys. Rev. Lett., 79, 3383 (1997)
15. A. H. Hoang, P. Labelle, and S. M. Zebarjad, Phys. Rev. Lett., 79, 3387 (1997).
16. J. R. Sapirstein, E. A. Terray, and D. R. Yennie, Phys. Rev. D, 29, 2290 (1984)
17. K. Pachucki and S. G. Karshenboim, Phys. Rev. Lett., 80, 2101 (1998).
18. K. Pachucki, Phys. Rev. A, 56, 297 (1997)
19. G. S. Adkins and J. Sapirstein, Phys. Rev. A, 58, 3552 (1998)
20. A. P. Burichenko, Report No. hep-ph/0004063.
21. A. Czarnecki, K. Melnikov, and A. Yelkhovsky, Phys. Rev. Lett., 82, 311 (1999)
22. A. Czarnecki, K. Melnikov, and A. Yelkhovsky, Phys. Rev. A., 59, 4316 (1999).
23. S. G. Karshenboim, Zh. Eksp. Teor. Fiz., 103, 1105 (1993)
24. S. G. Karshenboim [Sov. Phys. JETP, 76, 541 (1993)].
25. B. A. Kniehl and A. A. Penin, Phys. Rev. Lett., 85, 1210 (2000)
26. R. Hill and G. P. Lepage, Report No. hep-ph/0003277 v2, 2000.
27. K. Melnikov and A. Yelkhovsky, Report No. SLAC-PUB-8557;
28. W. E. Caswell and G. P. Lepage, Phys. Lett., 167B, 437 (1986).
29. A. Pineda and J. Soto, Nucl. Phys. (Proc. Suppl.), 64, 428 (1998).
30. B. A. Kniehl and A. A. Penin, Nucl. Phys., B577, 197 (2000).
31. A. Pineda and J. Soto, Phys. Lett. B, 420, 391 (1998)
32. A. Pineda and J. Soto, Phys. Lett. D, 59, 016005 (1999).
33. M. Beneke and V. A. Smirnov, Nucl. Phys., B522, 321 (1998).
34. T. Kinoshita and M. Nio, Phys. Rev. D, 53, 4909 (1996).
35. A. V. Manohar, Phys. Rev. D, 56, 230 (1997)
36. A. Pineda and J. Soto, Phys. Rev. D, 58, 114011 (1998).
37. B. A. Kniehl and A. A. Penin, Nucl. Phys., B563, 200 (1999).
38. P. Labelle, S. M. Zebarjad, and C. P. Burgess, Phys. Rev. D, 56, 8053 (1997).
39. D. E. Zwanziger, Bull. Am. Phys. Soc., 6, 514 (1961)
40. D. E. Zwanziger Nuovo Cimento, 34, 77 (1964)
41. A. J. Layzer, Bull. Am. Phys. Soc., 6, 514 (1961)
42. A. J. Layzer Nuovo Cimento, 37, 1538 (1964).
43. T. Kinoshita and M. Nio, Phys. Rev. Lett., 72, 3803 (1994)
44. M. I. Eides and V. A. Shelyuto, Pis’ma Zh. Eksp. Teor. Fiz., 61, 465 (1995)
45. M. I. Eides and V. A. Shelyuto, [JETP Lett., 61, 478 (1995)];
46. M. I. Eides and V. A. Shelyuto, Phys. Rev. A, 52, 954 (1995)
47. K. Pachucki, Phys. Rev. A, 54, 1994 (1996)
48. M. Nio and T. Kinoshita, Phys. Rev. D, 55, 7267 (1997).
49. N. Brambilla, A. Pineda, J. Soto, and A. Vairo, Phys. Lett. B, 470, 215 (1999).