Three-Meson Model forp−pScattering and Regge Poles

Abstract

By considering a dispersion relation for that amplitude of $p-p$ scattering, whose imaginary part in the forward direction is related to the total cross section, it is shown that the one-meson-exchange model (taking into account independent exchanges of the pion, the $\rho -\omega$ vector pair, and an $l=0\mathrm{}$, scalar $2\pi$ resonance or meson with a mass somewhat greater than two pion masses) and high-energy behavior of the $p-p$ and $p-\overline{p}$ scattering cross sections as given by the Regge pole hypothesis, are consistent with the existing $p-p$ scattering data. In our demonstration the energy range involved is larger than previously used in the demonstration of either of the above two aspects of $p-p$ scattering. Further by considering a dispersion relation and high-energy behavior of another amplitude of $p-p$ scattering, it is shown that the second type of coupling of the Pomeranchuk pole is zero. This reduces the number of unknown parameters in the expression for polarization at high energy.