We study the effect of radiation damping on the classical scattering of charged particles. By using a perturbation method based on the Runge–Lenz vector, we calculate radiative corrections to the Rutherford cross section and deflection function. Energy and angular momentum losses are obtained by the same method.
REFERENCES
1.
2.
L. D.
Landau
and E. M.
Lifshitz
, The Classical Theory of Fields
(Pergamon Press
, Oxford
, 1975
), 4th ed.3.
4.
F.
Rohrlich
, “The dynamics of a charged sphere and the electron
,” Am. J. Phys.
65
, 1051
–1056
(1997
).5.
G. N.
Plass
, “Classical electrodynamical equations of motion with radiative reaction
,” Rev. Mod. Phys.
33
, 37
–62
(1961
).6.
J.
Huschilt
and W. E.
Baylis
, “Rutherford scattering with radiation reaction
,” Phys. Rev. D
17
, 985
–993
(1978
).7.
C. E.
Aguiar
and M. F.
Barroso
, “The Runge–Lenz vector and perturbed Rutherford scattering
,” Am. J. Phys.
64
, 1042
–1048
(1996
).8.
C. E.
Aguiar
, A. N. F.
Aleixo
, and C. A.
Bertulani
, “Elastic Coulomb scattering of heavy ions at intermediate energies
,” Phys. Rev. C
42
, 2180
–2186
(1990
).9.
L. D.
Landau
and E. M.
Lifshitz
, Mechanics
, 3rd ed. (Butterworth-Heinemann
, Oxford
, 1976
).10.
E. E.
Flanagan
and R. M.
Wald
, “Does back reaction enforce the averaged null energy condition in semiclassical gravity?
,” Phys. Rev. D
54
, 6233
–6283
(1996
).11.
S. G.
Rajeev
, “Exact solution of the Landau–Lifshitz equations for a radiating charged particle in the Coulomb potential
,” Ann. Phys. (N.Y.)
323
, 2654
–2661
(2008
).© 2009 American Association of Physics Teachers.
2009
American Association of Physics Teachers
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