Elsevier

Nuclear Physics B

Volume 60, 1973, Pages 443-477
Nuclear Physics B

Coulomb corrections in non-relativistic scattering

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Abstract

Coulomb scattering is put in dispersion theoretic form by using a small photon mass λ. By carefully separating out the ln λ terms a dispersion relation for the Coulomb corrections in hadronic scattering is set up and solved. This is done for repulsive and attractive Coulomb interactions and for a two-channel problem. The techniques are designed so that they can be extended to the relativistic problem.

References (24)

  • N.F. Mott et al.

    Theory of atomic collisions

    (1965)
  • L. van Hove

    Phys. Rev.

    (1952)
    J. Hamilton et al.

    Phys. Rev.

    (1960)
    H.J. Schnitzer

    Nuovo Cimento

    (1963)
    P.R. Auvil

    Phys. Rev.

    (1968)
    G.C. Oades et al.

    Helv. Phys. Acta

    (1971)
  • R.F. Dashen et al.

    Phys. Rev.

    (1964)
    R.F. Dashen et al.

    Phys. Rev.

    (1964)
    R.F. Dashen et al.

    Phys. Rev.

    (1965)
  • E. Sauter

    Nuovo Cimento

    (1969)
    E. Sauter

    Nuovo Cimento

    (1971)
  • L.D. Landau et al.

    J. Phys. Acad. USSR

    (1944)
    H.A. Bethe

    Phys. Rev.

    (1949)
  • A. Messiah
  • V.G. Gorshkov

    JETP (Sov. Phys.)

    (1961)
    E. Brezin et al.

    Phys. Rev.

    (1970)
  • J. Hamilton, lecture notes...
  • R.H. Dalitz
  • H. Cornille et al.

    Nuovo Cimento

    (1962)
  • Y.L. Mentkovsky

    Nucl. Phys.

    (1965)
  • J. Hamilton et al.

    Partial wave amplitudes and resonance poles

    (1972)
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