Time evolution calculation of muon catalysed fusion: Emission of recycling muons from a two-layer hydrogen film

Takuma Yamashita, Kenichi Okutsu, Yasushi Kino, Ryota Nakashima, Konan Miyashita, Kazuhiro Yasuda, Shinji Okada, Motoyasu Sato, Toshitaka Oka, Naritoshi Kawamura, Sohtaro Kanda, Koichiro Shimomura, Patrick Strasser, Soshi Takeshita, Motonobu Tampo, Shogo Doiuchi, Yukinori Nagatani, Hiroaki Natori, Shoichiro Nishimura, Amba Datt PantYasuhiro Miyake, Katsuhiko Ishida

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


Recycling muon having approximately 10 keV kinetic energy produced in a muon catalysed fusion (μCF) cycle is expected to be a source of negative muon beam with high-spatial/time coherence. We report a time evolution calculation of μCF cycle with a particular focus on the emission of recycling muons from a hydrogen film target. Rate equations for the μCF reactions are solved using the 4th-order Runge-Kutta method. Considering a two-layer solid hydrogen film target composed of 1 mm hydrogen-deuterium layer and 2 µm deuterium-tritium layer, we have numerically simulated the time evolution of the muonic states and their populations in these layers. The muon atomic and molecular processes in the layers are solved simultaneously by introducing a probability of muonic deuterium atoms traveling between the layers via the Ramsauer-Townsend effect. The use of T2 amplifies the recycling muon emission. A weak dependence of the emission fraction of the recycling muons on the T2 concentration is predicted, which can be utilized to minimize the usage of tritium.

Original languageEnglish
Article number112580
JournalFusion Engineering and Design
Publication statusPublished - 2021 Aug


  • Muon catalyzed fusion
  • Slow muon
  • Time evolution calculation

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Nuclear Energy and Engineering
  • Materials Science(all)
  • Mechanical Engineering


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