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$\mathbf{\pi N \longrightarrow \Lambda \, K }$

As implemented in [Eff99] we use a parametrization according to Tsushima et al [THF97] for $\pi^{-}p\rightarrow \Lambda K^{0}$. We define a $\pi N \longrightarrow \Lambda K $ background cross section by subtracting the resonance contributions.

\begin{displaymath} \sigma_{\pi^{-}p\rightarrow \Lambda K^{0}}^{\mathsf{BG}}=\si... ...{\pi^{-}p\rightarrow \Lambda K^{0}}^{\mathrm{Resonances}} . \end{displaymath}

The other channels follow by isospin considerations since all processes need to go through an isospin $I=\frac{1}{2}$ channel:

\begin{eqnarray*} \sigma_{\pi^{+}n\rightarrow \Lambda K^{+}}^{\mathsf{BG}}&=& \s... ...\; \sigma_{\pi^{-}p\rightarrow \Lambda K^{0}}^{\mathsf{BG}} \; . \end{eqnarray*}


Oliver Buss 2005-03-16