$\Xi^{-} d\to n\Lambda\Lambda$ and the $\Lambda\Lambda$ final state interaction

The reaction $\Xi^-d\to n\Lambda\Lambda$ is studied within the framework of the Faddeev equations as a possible tool to gain insight into the final state $\Lambda$--$\Lambda$ interaction. The neutron differential energy spectrum gives a final state interaction that is sensitive to both the $\Lambda$--$\Lambda$ amplitude at threshold, and the coupling between the $\Lambda$--$\Lambda$ and $\Xi$--$N$ channels. The latter is a result of interference between two mechanisms for the production of the final state, which suggests that this reaction could give a measure of flavor SU(3) violation in the two-baryon system.