The study of baryon excitation spectra provides insight into the inner structure of baryons. So far, most of the world-wide efforts have been directed towards N ∗ and Δ spectroscopy. Nevertheless, the study of the double and triple strange baryon spectrum provides independent information to the N ∗ and Δ spectra. The future antiproton experiment P ¯ ANDA will provide direct access to final states containing a Ξ ¯ Ξ pair, for which production cross sections up to μ b are expected in p ¯ p reactions. With a luminosity of L = 10 31 cm - 2 s - 1 in the first phase of the experiment, the expected cross sections correspond to a production rate of ∼ 10 6 events / day . With a nearly 4 π detector acceptance, P ¯ ANDA will thus be a hyperon factory. In this study, reactions of the type p ¯ p → Ξ ¯ + Ξ ∗ - as well as p ¯ p → Ξ ¯ ∗ + Ξ - with various decay modes are investigated. For the exclusive reconstruction of the signal events a full decay tree fit is used, resulting in reconstruction efficiencies between 3 and 5%. This allows high statistics data to be collected within a few weeks of data taking. [ABSTRACT FROM AUTHOR]