Spectroscopy of the hyperfine structure of antiprotonic 4He and 3He

The spin magnetic moment $mu^{overline{p}}_{s}$ of the antiproton can be determined by comparing the measured transition frequencies in $overline{p}^4$ He^?+? with three-body QED calculations. A comparison between the proton and antiproton can then be used as a test of CPT invariance. The highest measurement precision of the difference between the proton and the antiproton spin magnetic moments to date is 0.3%. A new experimental value of the spin magnetic moment of the antiproton was obtained as $mu^{overline{p}}_{s} = -2.7862(83)mu_{N}$ , slightly better than the previously best measurement. This agrees with $mu^{p}_{s}$ within 0.24%. In 2009, a new measurement with antiprotonic ³He has been started. A comparison between the theoretical calculations and experimental results would lead to a stronger test of the theory and address systematic errors therein. A measurement of this state will be the first HF measurement on $overline{p}^3$ He^?+?. We report here on the new experimental setup and the first tests.