Three-Meson Model for p-p Scattering 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 ρ-ω vector pair, and an l=0, scalar 2π resonance or meson with a mass somewhat greater than two pion masses) and high-energy behavior of the p-p and p-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.
- Publication:
-
Physical Review
- Pub Date:
- October 1963
- DOI:
- 10.1103/PhysRev.132.873
- Bibcode:
- 1963PhRv..132..873R