Laser-microwave double-resonance technique for g -factor measurements in highly charged ions

We present a laser-microwave double-resonance technique for the precise determination of g factors in heavy, highly charged ions confined in a Penning trap. This technique allows one to probe the microwave transitions between the Zeeman sublevels of hyperfine states by the optical fluorescence from the corresponding hyperfine transition and thus yields a possibility to measure gF factors in a laser spectroscopy experiment. A combination of measured gF factors and the hyperfine transition frequency allows one to simultaneously determine the electronic g factor gJ and the nuclear g factor gI from one experiment. Thus, we introduce a stringent test of corresponding calculations in the framework of bound-state quantum electrodynamics and a possibility to determine nuclear magnetic moments in the absence of diamagnetic shielding.