Abstract
The hard-meson $\mathrm{SU}(3)\ifmmode\times\else\texttimes\fi{}\mathrm{SU}(3)$ current-algebra four-point functions are applied to $K\ensuremath{\pi}$ scattering, using pole dominance of the $\ensuremath{\sigma}$ commutators. The $S$- and $P$-wave scattering lengths and effective ranges are extracted. The hard-meson $S$-wave scattering lengths differ from the soft-pion Weinberg scattering lengths by only a few percent. Energy-dependent fits up to 1 GeV and above are made. All the available experimental data on the elastic and charge-exchange cross sections and phase shifts can be fitted using the parameter $\frac{{F}_{K}}{{F}_{\ensuremath{\pi}}}$.
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