Abstract
The very presence of the recoil factor m/M emphasizes that the external field approach is inadequate for calculation of recoil corrections and, in principle, one needs the complete machinery of the two-particle equation in this case. However, many results may be understood without a cumbersome formalism.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
M. I. Eides, S. G. Karshenboim, and V. A. Shelyuto, Ann. Phys. (NY) 205, 231, 291 (1991).
R. Arnowitt, Phys. Rev. 92, 1002 (1953).
T. Fulton and P. C. Martin, Phys. Rev. 95, 811 (1954).
W. A. Newcomb and E. E. Salpeter, Phys. Rev. 97, 1146 (1955).
G. T. Bodwin, D. R. Yennie, and M. A. Gregorio, Phys. Rev. Lett. 41, 1088 (1978).
W. E. Caswell and G. P. Lepage, Phys. Rev. Lett. 41, 1092 (1978).
T. Fulton, D. A. Owen, and W. W. Repko, Phys. Rev. Lett. 26, 61 (1971).
P. Lepage, Phys. Rev. A 16, 863 (1977).
G. T. Bodwin and D. R. Yennie, Phys. Rep. C 43, 267 (1978).
M. M. Sternheim, Phys. Rev. 130, 211 (1963).
W. E. Caswell and G. P. Lepage, Phys. Rev. A 18, 810 (1978).
G. T. Bodwin, D. R. Yennie, and M. A. Gregorio, Phys. Rev. Lett. 48, 1799 (1982).
G. T. Bodwin, D. R. Yennie, and M. A. Gregorio, Rev. Mod Phys. 57, 723 (1985).
W. E. Caswell and G. P. Lepage, Phys. Lett. B 167, 437 (1986).
K. Pachucki, Phys. Rev. A 56, 297 (1997).
A. Czarnecki and K. Melnikov, Phys. Rev. Lett. 87, 013001 (2001).
I. Blokland, A. Czarnecki, and K. Melnikov, Phys. Rev. D 65, 073015 (2002).
S. G. Karshenboim, Zh. Eksp. Teor. Fiz. 103, 1105 (1993) [JETP 76, 541 (1993)].
T. Kinoshita and M. Nio, Phys. Rev. Lett. 72, 3803 (1994).
T. Kinoshita and M. Nio, Phys. Rev. D 53, 4909 (1996).
S. G. Karshenboim, Z. Phys. D 36, 11 (1996).
T. Kinoshita, hep-ph/9808351, Cornell preprint, 1998.
K. Melnikov and A. S. Yelkhovsky, Phys. Rev. Lett. 86, 1498 (2001).
R. J. Hill, Phys. Rev. Lett. 86, 3280 (2001).
J. R. Sapirstein, E. A. Terray, and D. R. Yennie, Phys. Rev. D29, 2290 (1984).
S. G. Karshenboim, M. I. Eides, and V. A. Shelyuto, Yad. Fiz. 47, 454 (1988) [Sov. J. Nucl. Phys. 47, 287 (1988)]; Yad. Fiz. 48, 769 (1988) [Sov. J. Nucl. Phys. 48, 490 (1988)].
V. B. Berestetskii, E. M. Lifshitz, and L. P. Pitaevskii, Quantum electrodynamics, 2nd Edition, Pergamon Press, Oxford, 1982.
M. I. Eides, S. G. Karshenboim, and V. A. Shelyuto, Phys. Lett. B 216, 405 (1989); Yad. Fiz. 49, 493 (1989) [Sov. J. Nucl. Phys. 49, 309 (1989)].
E. A. Terray and D. R. Yennie, Phys. Rev. Lett. 48, 1803 (1982).
V. Yu. Brook, M. I. Eides, S. G. Karshenboim, and V. A. Shelyuto, Phys. Lett. B 216, 401 (1989).
M. I. Eides, S. G. Karshenboim, and V. A. Shelyuto, Phys. Lett. B 177, 425 (1986); Yad. Fiz. 44, 1118 (1986) [Sov. J. Nucl. Phys. 44, 723 (1986)]; Zh. Eksp. Teor. Fiz. 92, 1188 (1987) [Sov. Phys.-JETP 65, 664 (1987)]; Yad. Fiz. 48, 1039 (1988) [Sov. J. Nucl. Phys. 48, 661 (1988)].
N. Kroll and F. Pollock, Phys. Rev. 84, 594 (1951); ibid. 86, 876 (1952).
R. Karplus, A. Klein, and J. Schwinger, Phys. Rev. 84, 597 (1951).
R. Karplus and A. Klein, Phys. Rev. 85, 972 (1952).
J. R. Sapirstein, E. A. Terray, and D. R. Yennie, Phys. Rev. Lett. 51, 982 (1983).
M. I. Eides, S. G. Karshenboim, and V. A. Shelyuto, Phys. Lett. B 202, 572 (1988); Zh. Eksp. Teor. Fiz. 94, 42 (1988) [Sov.Phys.-JETP 67, 671 (1988)].
A. Czarnecki, S. I. Eidelman, and S. G. Karshenboim, Phys. Rev. D 65, 053004 (2002).
M. I. Eides and V. A. Shelyuto, Phys. Rev. A 68, 042106 (2003).
A. Karimkhodzhaev and R. N. Faustov, Yad. Phys. 53, 1012 (1991) [Sov. J. Nucl. Phys. 53, 626 (1991)].
R. N. Faustov, A. Karimkhodzhaev, and A. P. Martynenko, Phys. Rev. A 59, 2498 (1999); Yad. Phys. 62, 2284 (1999) [Phys. Atom. Nuclei 62, 2103 (1999)].
S. Narison, preprint hep-ph/0203053, 2002.
S. G. Karshenboim, and V. A. Shelyuto, Phys. Lett. B 517, 32 (2001).
R. N. Faustov and A. P. Martynenko, Phys. Lett. B 541, 135 (2002).
S. I. Eidelman, S. G. Karshenboim, and V. A. Shelyuto, Can. J. Phys. 80, 1297 (2002).
M. I. Eides and V. A. Shelyuto, Phys. Lett. B 146, 241 (1984).
S. G. Karshenboim, M. I. Eides, and V. A. Shelyuto, Yad. Fiz. 52, 1066 (1990) [Sov. J. Nucl. Phys. 52, 679 (1990)].
S. L. Adler, Phys. Rev. 177, 2426 (1969).
G. Li, M. A. Samuel, and M. I. Eides, Phys. Rev. A 47, 876 (1993).
M. I. Eides, H. Grotch, and V. A. Shelyuto, Phys. Rev. D 65, 013003 (2001).
M. I. Eides, H. Grotch, and V. A. Shelyuto, Phys. Rev. D 67, 113003 (2003).
M. I. Eides, H. Grotch, and V. A. Shelyuto, Can. J. Phys. 83, 363 (2005).
M. I. Eides, H. Grotch, and V. A. Shelyuto, Phys. Rev. D 58, 013008 (1998).
J. Barclay Adams, Phys. Rev. 139, B1050 (1965).
M. A. Beg and G. Feinberg, Phys. Rev. Lett. 33, 606 (1974); 35, 130(E) (1975).
W. W. Repko, Phys. Rev. D 7, 279 (1973).
H. Grotch, Phys. Rev. D 9, 311 (1974).
R. Alcotra and J. A. Grifols, Ann. Phys.(NY) 229, 109 (1993).
J. R. Sapirstein, unpublished, as cited in [19].
M. I. Eides, Phys. Rev. A 53, 2953 (1996).
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2007 Springer
About this chapter
Cite this chapter
Eides, M.I., Grotch, H., Shelyuto, V.A. (2007). Essentially Two-Body Corrections to HFS. In: Theory of Light Hydrogenic Bound States. Springer Tracts in Modern Physics, vol 222. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45270-2_10
Download citation
DOI: https://doi.org/10.1007/3-540-45270-2_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-45269-0
Online ISBN: 978-3-540-45270-6
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)