Radiative Corrections to the Coulomb Scattering Asymmetry Function

W. R. Johnson; C. O. Carroll; C. J. Mullin

doi:10.1103/PhysRev.126.352

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Radiative Corrections to the Coulomb Scattering Asymmetry Function

W. R. Johnson, C. O. Carroll, and C. J. Mullin

University of Notre Dame, Notre Dame, Indiana

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Phys. Rev. 126, 352 – Published 1 April, 1962

DOI: https://doi.org/10.1103/PhysRev.126.352

Abstract

An evaluation of the effect of the radiative corrections on the Coulomb scattering asymmetry function is presented. The lowest order corrections, consisting of those terms which are quadratic in the external field, are evaluated with the aid of the unitarity of the $S$ matrix. Relative corrections to the asymmetry function are presented in tabular form for electron velocities in the range $0.6 \leq β \leq 0.9$ and electron scattering angles in the range $30 ° \leq θ \leq 150 °$ . These corrections, which are shown to be independent of the value of the energy resolution, are found to be less than 3% for the electron velocities and angles quoted above.

References (11)

D. F. Nelson and R. W. Pidd, Phys. Rev. 114, 728 (1959)
N. Sherman, Phys. Rev. 103, 1601 (1956) N. Sherman and D. F. Nelson, ibid. 114, 1541 (1959) F. Gürsey, 107, 1734 (1957) W. R. Johnson, T. A. Weber, and C. J. Mullin, ibid. 121, 933 (1961)
J. M. Jauch and F. Rohrlich, The Theory of Photons and Electrons (Addison-Wesley Publishing Company, Inc., Cambridge, 1955), p. 320
R. H. Dalitz, Proc. Roy. Soc. (London) A206, 509 (1951)
R. G. Newton, Phys. Rev. 97, 1162 (1955) ibid.98, 1514 (1955)
[4]
J. M. Jauch and F. Rohrlich, [3], p. 333
J. Schwinger, Phys. Rev. 76, 790 (1949)
[8], p. 812
J. M. Jauch and F. Rohrlich, [3], p. 333
Omitted endnote

[c1] D. F. Nelson and R. W. Pidd, Phys. Rev. 114, 728 (1959)

[c2] N. Sherman, Phys. Rev. 103, 1601 (1956) N. Sherman and D. F. Nelson, ibid. 114, 1541 (1959) F. Gürsey, 107, 1734 (1957) W. R. Johnson, T. A. Weber, and C. J. Mullin, ibid. 121, 933 (1961)

[c3] J. M. Jauch and F. Rohrlich, The Theory of Photons and Electrons (Addison-Wesley Publishing Company, Inc., Cambridge, 1955), p. 320

[c4] R. H. Dalitz, Proc. Roy. Soc. (London) A206, 509 (1951)

[c5] R. G. Newton, Phys. Rev. 97, 1162 (1955) ibid.98, 1514 (1955)

[c6] [4]

[c7] J. M. Jauch and F. Rohrlich, [3], p. 333

[c8] J. Schwinger, Phys. Rev. 76, 790 (1949)

[c9] [8], p. 812

[c10] J. M. Jauch and F. Rohrlich, [3], p. 333

[c11] Omitted endnote

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Radiative Corrections to the Coulomb Scattering Asymmetry Function

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