Rabi-Oscillation Spectroscopy of the Hyperfine Structure of Muonium Atoms

Abstract

As a new method to determine the resonance frequency, Rabi-oscillation spectroscopy has been developed. In contrast to the conventional spectroscopy which draws the resonance curve, Rabi-oscillation spectroscopy fits the time evolution of the Rabi oscillation. By selecting the optimized frequency, it is shown that the precision is twice as good as the conventional spectroscopy with a frequency sweep. Furthermore, the data under different conditions can be treated in a unified manner, allowing more efficient measurements for systems consisting of a limited number of short-lived particles produced by accelerators such as muons. We have developed a fitting function that takes into account the spatial distribution of muonium and the spatial distribution of the microwave intensity to apply the new method to ground-state muonium hyperfine structure measurements at zero field. This was applied to the actual measurement data and the resonance frequencies were determined under various conditions. The result of our analysis gives ${\nu }_{\mathrm{HFS}}=4463301.61\pm 0.71\mathrm{kHz}$, which is the world's highest precision under zero field conditions.

arXiv comment6 pages, 5 figures

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• Models of the Muonium to Antimuonium Transition
• Towards an independent determination of muon g-2 from muonium spectroscopy
• Update of Muonium 1S-2S transition frequency
• Measurement of the $2S_{1/2},F$=$0\to 2P_{1/2},F$=$1$ transition in Muonium
• Three-Loop Corrections to Lamb Shift in Muonium and Positronium
• Improved Measurements of Muonic Helium Ground-State Hyperfine Structure at a Near-Zero Magnetic Field
• Precision measurements of muonium and muonic helium hyperfine structure at J-PARC
• Room-temperature emission of muonium from aerogel and zeolite targets
• Laser excitation of the 1s-hyperfine transition in muonic hydrogen
• Rare Leptonic Processes Induced by Massless Dark Photon