A single-particle exchange model with absorptive corrections is developed for application to meson-baryon inelastic scattering processes which are dominated by baryon exchange in the $u$ channel. The model is applied to the process $K^{-}+p\to {\Xi }^{-}+K^{+}$, which appears to be a particularly clean example of a process in which baryon exchange plays a dominant role. The complex initial- and final-state elastic amplitudes required by the absorption model are determined from the Regge model of $K^{-}p$ scattering proposed by Rarita and Phillips. The $\frac{f}{d}$ ratio for baryon-pseudoscalar coupling, the only parameter in the model which is not determined externally, is found to be $\frac{f}{d}=0.555\mathrm{}$ if the vertex functions involved are assumed to be compatible with unbroken ${\mathrm{SU}}_3$. The most interesting features of the ${\Xi }^{-}$ production process are reproduced by the model as a result of the interference between the spin-½ $\Lambda$ and $\Sigma$ exchanges and the spin-$\frac{3}{2}$ ${Y_1}^{*}$ (1385) exchange. Although many features of the process studied are qualitatively reproduced by the model, it is concluded that this formulation of the peripheral model is not an adequate representation of a baryon exchange process.

• Received 6 September 1966

DOI:https://doi.org/10.1103/PhysRev.153.1694