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Time evolution calculation of muon catalyzed fusion by the Runge-Kutta method

Yamashita, Takuma*; Okutsu, Kenichi*; Kino, Yasushi*; Nakashima, Ryota*; Miyashita, Konan*; Yasuda, Kazuhiro*; Okada, Shinji*; Sato, Motoyasu*; Oka, Toshitaka  ; Kawamura, Naritoshi*; Kanda, Sotaro*; Shimomura, Koichiro*; Strasser, P.*; Takeshita, Soshi*; Tampo, Motonobu*; Doiuchi, Shogo*; Nagatani, Yukinori*; Natori, Hiroaki*; Nishimura, Shoichiro*; Amba, D. P.*; Miyake, Yasuhiro*; Ishida, Katsuhiko*

A muon ($$mu$$) having 207 times larger mass of electron and the same charge as the electron has been known to catalyze a nuclear fusion ($$mu$$CF) between deuteron (d) and triton (t). In this work, we have solved simultaneous reaction rate equations by the 4th-order Runge-Kutta method for the jointed $$mu$$CF cycles in the two layers (H$$_{2}$$/D$$_{2}$$ and D$$_{2}$$/T$$_{2}$$). The T$$_{2}$$ concentration to maximize the intensities of fusion neutrons and muons emitted to the vacuum will be discussed.

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