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The AEgIS experiment aims at producing antihydrogen (and eventually measuring the effects of the Earth gravitational field on it) with a method based on the charge exchange reaction between antiproton and Rydberg positronium. To be precise, antiprotons are delivered by the CERN Antiproton Decelerator (AD) and are trapped in a multi-ring Penning trap, while positronium is produced by a nanoporous silica target and is excited to Rydberg states by means of a two steps laser excitation. New Monte Carlo simulations are presented in this paper in order to investigate the current status of the AEgIS experiment [1] and to interpret the recently collected data [2]. [ABSTRACT FROM AUTHOR]

The charge exchange reaction p̄+Ps→e−+H̄, of interest for the future experiments (GBAR, AEGIS, ATRAP,...) aiming to produce antihydrogen atoms, is investigated in the energy range between the e−+H̄(n=2) and e−+H̄(n=3) thresholds. An ab-initio method based on the solution of the Faddeev-Merkuriev equations is used. Special focus is put on the impact of the Feshbach resonances and the Gailitis-Damburg oscillations, appearing in the vicinity of the p̄+Ps(n=2) threshold, on the H̄ production cross section. [ABSTRACT FROM AUTHOR]