Bound-state formalism for positronium

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 60, Issue 6, 1999, Pages 4461-4475

  Adkins, Gregory S ^a   Fell, Richard N ^b  

^a FRANKLIN AND MARSHALL COLLEGE   (United States)

^b BRANDEIS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000471640     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.60.4461     Document Type: Article

References (53)

1. M. Deutsch, Phys. Rev. 82, 455 (1951).
2. M.W. Ritter, P.O. Egan, V.W. Hughes, and K.A. Woodle, Phys. Rev. A 30, 1331 (1984).
3. R.S. Conti, S. Hatamian, L. Lapidus, A. Rich, and M. Skalsey, Phys. Lett. A 177, 43 (1993).
4. D. Hagena, R. Ley, D. Weil, G. Werth, W. Arnold, and H. Schneider, Phys. Rev. Lett. 71, 2887 (1993).
5. M.S. Fee, A.P. Mills, Jr., S. Chu, E.D. Shaw, K. Danzmann, R.J. Chichester, and D.M. Zuckerman, Phys. Rev. Lett. 70, 1397 (1993).
6. C.I. Westbrook, D.W. Gidley, R.S. Conti, and A. Rich, Phys. Rev. A 40, 5489 (1989).
7. J.S. Nico, D.W. Gidley, A. Rich, and P.W. Zitzewitz, Phys. Rev. Lett. 65, 1344 (1990)
8. S. Asai, S. Orito, and N. Shinohara, Phys. Lett. B 357, 475 (1995).
9. A.H. Al-Ramadhan and D.W. Gidley, Phys. Rev. Lett. 72, 1632 (1994).
10. T. Chang, H. Tang, and Y. Li, Phys. Lett. 157B, 357 (1985).
11. H. von Busch, P. Thirolf, C. Ender, D. Habs, F. Köck, T. Schulze, and D. Schwalm, Phys. Lett. B 325, 300 (1994).
12. S. Adachi, M. Chiba, T. Hirose, S. Nagayama, Y. Nakamitsu, T. Sato, and T. Yamada, Phys. Rev. A 49, 3201 (1994).
13. T. Matsumoto, M. Chiba, R. Hamatsu, T. Hirose, J. Yang, and J. Yu, Phys. Rev. A 54, 1947 (1996).
14. K.P. Ziock, R.H. Howell, F. Magnotta, R.A. Failor, and K.M. Jones, Phys. Rev. Lett. 64, 2366 (1990).
15. The conventions and natural units (Formula presented) of J.D. Bjorken and S.D. Drell [Relativistic Quantum Mechanics (McGraw-Hill, New York, 1964)] are used throughout.
16. That is, up to (Formula presented) for energy levels and (Formula presented) for n-photon decay rates.
17. G.S. Adkins, R.N. Fell, and P.M. Mitrikov, Phys. Rev. Lett. 79, 3383 (1997).
18. G.S. Adkins and J. Sapirstein, Phys. Rev. A 58, 3552 (1998).
19. A non-field-theoretical approach to bound states is Schwinger’s source theory: J. Schwinger, Particles, Sources, and Fields (Addison-Wesley, Redwood City, CA, 1989), Vol. III, Sec. 5-5, p. 112.
20. H.A. Bethe and E.E. Salpeter, Phys. Rev. 82, 309 (1951).
21. M. Gell-Mann and F. Low, Phys. Rev. 84, 350 (1951).
22. J. Schwinger, Proc. Natl. Acad. Sci. USA 37, 452 (1951).
23. J. Schwinger, Proc. Natl. Acad. Sci. USA 37, 455 (1951).
24. E.E. Salpeter, Phys. Rev. 87, 328 (1952).
25. R. Barbieri and E. Remiddi, Nucl. Phys. B 141, 413 (1978).
26. W. Buchmüller and E. Remiddi, Nucl. Phys. B 162, 250 (1980).
27. W. Buchmüller and E. Remiddi, Nuovo Cimento A 60, 109 (1980).
28. E. Remiddi, in Theory of Fundamental Interactions, edited by G. Costa and R.R. Gatto (North-Holland, Amsterdam, 1982), p. 1.
29. A.A. Logunov and A.N. Tavkhelidze, Nuovo Cimento XXIX, 380 (1963).
30. R. Blankenbecler and R. Sugar, Phys. Rev. 142, 1051 (1966).
31. F. Gross, Phys. Rev. 186, 1448 (1969).
32. M.H. Partovi and E.L. Lomon, Phys. Rev. D 2, 1999 (1970).
33. I.T. Todorov, Phys. Rev. D 3, 2351 (1971).
34. R.J. Yaes, Phys. Rev. D 3, 3086 (1971).
35. A. Klein and T.H. Lee, Phys. Rev. D 10, 4308 (1974).
36. G.E. Brown and A.D. Jackson, The Nucleon-Nucleon Interaction (North-Holland, Amsterdam, 1976), Chap. VI.
37. R.N. Faustov, Fiz. Elem. Chastits At. Yadra 3, 238 (1972) [Sov. J. Part. Nucl. 3, 119 (1972)].
38. G.P. Lepage, Phys. Rev. A 16, 863 (1977).
39. W.E. Caswell and G.P. Lepage, Phys. Rev. A 18, 810 (1978).
40. G.T. Bodwin, D.R. Yennie, and M.A. Gregorio, Rev. Mod. Phys. 57, 723 (1985).
41. G.S. Adkins, Nuovo Cimento B 97, 99 (1987).
42. L. Hostler, J. Math. Phys. 5, 1235 (1964).
43. J. Schwinger, J. Math. Phys. 5, 1606 (1964).
44. D.A. Varshalovich, A.N. Moskalev, and V.K. Khersonskii, Quantum Theory of Angular Momentum (World Scientific, Singapore, 1988). Clebsch-Gordon coefficients: Chap. 8 and Table 8.2; spherical harmonics: Chap. 5; vector spherical harmonics: Chap. 7.
45. J.M. Jauch and F. Rohrlich, The Theory of Photons and Electrons, 2nd ed. (Springer-Verlag, New York, 1976), Chap. 12.
46. J. Pirenne, Arch. Sci. Phys. Nat. 28, 233 (1946)
47. Arch. Sci. Phys. Nat.J. Pirenne29, 121 (1947)
48. Arch. Sci. Phys. Nat.J. Pirenne29, 207 (1947)
49. Arch. Sci. Phys. Nat.J. Pirenne29, 265 (1947).
50. R.A. Ferrell, Ph. D. thesis, Princeton University, 1951 (unpublished).
51. G.S. Adkins and J.D. Cammerata, Phys. Rev. A 45, 1314 (1992).
52. T. Kato, Prog. Theor. Phys. 4, 514 (1949).
53. A. Messiah, Quantum Mechanics (Wiley, New York, 1962), Vol. II, Chap. 16.