Equivalent-Potential Calculation ofππandπKScattering

Abstract

A method suggested by Balázs is used to calculate the $\pi \pi$ and $\pi K$ amplitudes in the resonance region. An input force corresponding to vector-meson exchange reproduces the vector mesons, and also produces $2^{+}$ mesons at roughly the masses of the $f^0\mathrm{}\left(1250\right)\mathrm{}$, $f^{0\prime }\mathrm{}\left(1500\right)\mathrm{}$, and $K^{**}\mathrm{}\left(1405\right)\mathrm{}$. Inclusion of an estimate of Pomeranchuk exchange in the input improves the output slightly. Regge trajectories and residues are computed, and their intercepts agree approximately with estimates based on high-energy experiments.