Regge Parameters in Crossing-EvenKNScattering

The method of Olsson is used to estimate the Pomeranchuk $P$ and $P^{\prime }$ parameters in $\mathrm{KN}$ scattering. Assuming that the forward crossing-even $\mathrm{KN}$ amplitude has the asymptotic form, $-\Sigma {s=P,P^{\prime }}^{}{\gamma }_s\left[\frac{e^{-i\frac{1}{2}\pi {\alpha }_s}}{sin\frac{1}{2}\pi {\alpha }_s}\right]{\left(\frac{\omega }{{\omega }_0}\right)}^{{\alpha }_s}$, where $\omega$ is the kaon lab energy and ${\omega }_0=1\mathrm{}$ BeV, we find that a good fit to the dispersion sum rules is given by ${\gamma }_P=17.3\mathrm{}\pm 0.1$ mb BeV, ${\alpha }_P=1\mathrm{}$, ${\gamma }_{P^{\prime }}=7.1\mathrm{}\pm 0.7$ mb BeV, ${\alpha }_{P^{\prime }}=0.89\mathrm{}\pm 0.10$. These parameters give a reasonable fit to the high-energy scattering.