The reaction anti-proton + proton -> anti-Lambda + Lambda -> anti-proton + pi^+ + proton + pi^- has been measured with high statistics at anti-proton beam momentum of 1.637 GeV/c. The use of a transversely-polarized frozen-spin target combined with the self-analyzing property of Lambda/anti-Lambda decay allows access to unprecedented information on the spin structure of the interaction. The most general spin-scattering matrix can be written in terms of eleven real parameters for each bin of scattering angle, each of these parameters is determined with reasonable precision. From these results all conceivable spin-correlations are determined with inherent self-consistency. Good agreement is found with the few previously existing measurements of spin observables in anti-proton + proton -> anti-Lambda + Lambda near this energy. Existing theoretical models do not give good predictions for those spin-observables that had not been previously measured.
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