Abstract
We obtain the relativistic electron Coulomb functions as power series in \(\alpha ^2 Z^2\) with the Furry–Sommerfeld–Maue functions as the lowest order approximation. The results are employed for calculation of photoionization angular distribution and the cross section with inclusion of the terms of order \(\alpha ^3 Z^3\). We consider also second-order processes. We study the role of various mechanisms for photon elastic scattering on atoms. We present the characteristics of Compton scattering on the Bethe ridge with inclusion of the \(\alpha ^2Z^2\) terms. Employing the results of Chap. 4, we calculate the differential distributions for the Compton scattering outside the Bethe ridge.
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References
A.I. Akhiezer, V.B. Berestetskii, Quantum Electrodynamics (Pergamon, New York, 1982)
M.I. Eides, H. Grotch, V.A. Shelyuto, Theory of Light Hydrogenic Bound States (Springer, Heidelberg, 2007)
P.J. Mohr, G. Plunien, G. Soff, Phys. Rep. 293, 227 (1998)
R.H. Pratt, Phys. Rev. 117, 1017 (1960)
W.H. Furry, Phys. Rev. 46, 391 (1934)
A. Sommerfeld, A.W. Maue, Ann. Phys. 22, 629 (1935)
V.G. Gorshkov, Sov. Phys. JETP 20, 1331 (1965)
R.H. Pratt, R.D. Levee, R.L. Pexton, W. Aron, Phys. Rev. 134, A898 (1964)
A.I. Mikhailov, Sov. Phys. JETP 28, 3266 (1969)
B. Nagel, P. Olsson, Arkiv. Fysik 18, 29 (1960)
F. Sauter, Ann. der Phys. 11, 454 (1931)
V.G. Gorshkov, A.I. Mikhailov, V.S. Polikanov, Nucl. Phys. 55, 273 (1964)
M. Gavrila, Phys. Rev. 113, 514 (1959)
V.G. Gorshkov, A.I. Mikhailov, ZhETF 42, 2142 (1963)
T.A. Weber, C.J. Mullin, Phys. Rev. 126, 615 (1962)
V.B. Berestetskii, E.M. Lifshits, L.P. Pitaevskii, Quantum Electrodynamics (Pergamon, New York, 1982)
U. Spillmann et al., Rev. Sci. Instrum. 79, 083101 (2008)
G. Weber et al., J. Instrum 5, 07010 (2010)
A.I. Mikhailov, S.G. Sherman, Sov. Phys. JETP. 42, 958 (1975)
H. Bethe, F. Rohrlich, Phys. Rev. 86, 10 (1952)
M. Gell-Mann, M.L. Goldberger, Phys. Rev. 96, 1433 (1954)
P.P. Kane, L. Kissel, R.H. Pratt, S.C. Roy, Phys. Rep. 140, 76 (1986)
L.W. Alvarez, F.S. Crawford Jr., M.L. Stevenson, Phys. Rev. 112, 1267 (1958)
S. Kahane, R. Moreh, O. Shahal, Phys. Rev. C 28, 1519 (1983)
V.G. Gorshkov, A.I. Mikhailov, S.G. Sherman, Sov. Phys. JETP 37, 572 (1973)
V.G. Gorshkov, A.I. Mikhailov, S.G. Sherman, Sov. Phys. JETP 50, 15 (1979)
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Drukarev, E.G., Mikhailov, A.I. (2016). The Coulomb Field. Relativistic Case. In: High-Energy Atomic Physics. Springer Series on Atomic, Optical, and Plasma Physics, vol 93. Springer, Cham. https://doi.org/10.1007/978-3-319-32736-5_6
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DOI: https://doi.org/10.1007/978-3-319-32736-5_6
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