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Analysis of Proton-Proton Scattering by Means of the f Function

G. Breit and R. D. Hatcher*,†

  • Yale University, New Haven, Connecticut

  • *Now at New York University, New York, New York.
  • Assisted by the Joint Program of the ONR and the AEC.

Phys. Rev. 78, 110 – Published 15 April, 1950

DOI: https://doi.org/10.1103/PhysRev.78.110

Abstract

The approximately linear relationship between the f function and the energy, E, is discussed by elementary methods. Formulas for the comparison of derivatives of f with respect to E are given for potentials of different shapes. The comparison of potentials is reduced to that of wave functions at a standard energy. A discussion of the relation between the meson mass corresponding to experiments on proton-proton scattering and the mass of the π-meson is included. The variation in the comparison owing to lack of reproduction of the curvature of the (f,E) plot is estimated and the uncertainties caused by relativistic corrections as well as modifications of the Yukawa potential at distances of the order of the Compton wave-length for the proton are considered.

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