Measuring the antihydrogen Lamb shift with a relativistic antihydrogen beam

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Abstract
We propose an experiment to measure the Lamb shift and fine structure (the intervals 2s1/2−2p1/2 and 2p1/2−2p3/2) in antihydrogen. A sample of 10 000 antihydrogen atoms at a momentum of 8.85 GeV/c suffices to measure the Lamb shift to 5% and the fine structure to 1%. Atomic collisions excite antihydrogen atoms to states with n=2; field ionization in a Lorentz-transformed laboratory magnetic field then prepares a particular n=2 state, and is used again to analyze that state after it is allowed to oscillate in a region of zero field. This experiment is feasible at Fermilab.