Partial-Wave Analysis of $K^{-}p\to {\Xi }^{-}{K}^{+}$ at $2 \frac{\mathrm{GeV}}{c}$

We have performed a partial-wave analysis on $K^{-}p\to {\Xi }^{-}{K}^{+}$ at $2 \frac{\mathrm{GeV}}{c}$. The Legendre-polynomial expansions of $\frac{d\sigma }{d\Omega }$ (coefficients $A_l$) and of $\frac{\mathrm{Pd}\sigma }{d\Omega }$ (coefficients $B_l$) have significant contributions for $A_1$, $A_2$, $A_3$, $B_1$, $B_3$, and one isolated higher-order moment, $A_6$ (a $3.5\sigma$ effect). Using the measured values of $A_l$ and $B_l$ ($l=1,2,3\mathrm{}$), the partial-wave equations have been solved (using a search technique) for the amplitudes $S_{\frac{1}{2}}(={P_{\frac{1}{2}}}^{*})$, $P_{\frac{1}{2}}(={S_{\frac{1}{2}}}^{*})$, $P_{\frac{3}{2}}{(=D_{\frac{3}{2}})}^{*}$, and $D_{\frac{3}{2}}(={P_{\frac{3}{2}}}^{*})$, where the bracketed partial waves indicate the Minami-transform-complex-conjugation ambiguity, unavoidable in an analysis at a single energy. The isolated $A_6$ term may be understood as due to a small $J\ge \frac{9}{2}$ amplitude interfering with one of the $J=\frac{3}{2}$ amplitudes. The measured cross sections for ${\Xi }^{-}{K}^{+}$, ${\Xi }^0{K}^0$, and ${\Xi }^{-}{K}^0$ production are consistent with baryon-exchange dominance with a (