Possibility of new precise measurements of muonic helium atom HFS at J-PARC MUSE

We propose the next generation of precision microwave spectroscopy measurements of the ground state hyperfine structure (HFS) of the muonic helium atom. The HFS interval is a sensitive tool to test three-body atomic system and bound-state QED theory as well as precise direct determination of the negative muon magnetic moment and hence its mass. Previous measurements performed in 1980s at PSI and LAMPF had uncertainties dominated by statistical errors. The new high-intensity pulsed negative muon beam at J-PARC MUSE give an opportunity to improve these measurements by nearly two orders of magnitude for the HFS interval, and almost tenfold for the negative muon mass, thus providing a more precise test of CPT invariance and determination of the negative counterpart of the anomalous g-factor for the existing BNL muon g-2 experiment. Both measurements at zero field and at high magnetic field are considered. An overview of the different aspects of these new muonic helium HFS measurements is presented. (author)