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Rabi-oscillation spectroscopy of the hyperfine structure of muonium atoms

S. Nishimura1,2,*, H. A. Torii3, Y. Fukao1,2,4, T. U. Ito2,5, M. Iwasaki6, S. Kanda6, K. Kawagoe7, D. Kawall8, N. Kawamura1,2,4 et al. (MuSEUM Collaboration)

N. Kawamura1,2,4, N. Kurosawa1,2, Y. Matsuda9, T. Mibe1,2,4, Y. Miyake1,2,4, N. Saito1,2,4,3, K. Sasaki1,2,4, Y. Sato1, S. Seo6,9, P. Strasser1,2,4, T. Suehara7, K. S. Tanaka10, T. Tanaka6,9, J. Tojo7, A. Toyoda1,2,4, Y. Ueno6, T. Yamanaka7, T. Yamazaki1,2,4, H. Yasuda3, T. Yoshioka7, and K. Shimomura1,2,4 (MuSEUM Collaboration)

  • 1High Energy Accelerator Research Organization (KEK), 1-1 Oho, Tsukuba, Ibaraki 305-0801, Japan
  • 2J-PARC Center, 2-4 Shirakata, Tokai, Ibaraki 319-1195, Japan
  • 3School of Science, The University of Tokyo, 7-3-1 Hongo, Bunkyo, Tokyo 113-0033, Japan
  • 4School of High Energy Accelerator Science, The Graduate University for Advanced Studies (SOKENDAI), 1-1 Oho, Tsukuba, Ibaraki 305-0801, Japan
  • 5Advanced Science Research Center, Japan Atomic Energy Agency, 2-4 Shirakata, Tokai, Ibaraki 319-1195, Japan
  • 6RIKEN, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
  • 7Kyushu University, 744 Motooka, Nishi, Fukuoka 819-0395, Japan
  • 8Department of Physics, University of Massachusetts Amherst, 1126 Lederle Graduate Research Tower, Amherst, Massachusetts 01003-9337, USA
  • 9Graduate School of Arts and Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo 153-8902, Japan
  • 10Cyclotron and Radioisotope Center (CYRIC), Tohoku University, 2-1-1 Katahira, Aoba, Sendai, Miyagi 980-8577, Japan

  • *shoichiro.nishimura@kek.jp

Phys. Rev. A 104, L020801 – Published 9 August, 2021

DOI: https://doi.org/10.1103/PhysRevA.104.L020801

Abstract

As a method to determine the resonance frequency, Rabi-oscillation spectroscopy has been developed. In contrast to 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 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 this method to ground-state muonium hyperfine structure measurements at zero field. It was applied to the actual measurement data, and the resonance frequencies were determined under various conditions. The result of our analysis gives νHFS=4463301.61±0.71kHz.

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