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Precise measurement of the muonium hyperfine structure (MuHFS) has been planned at J-PARC. The key component of this experiment is a superconducting solenoid magnet with field homogeneity as high as 1 ppm. In this paper, we focus on the cryogenic design of this magnet. The total heat input to the magnet system was estimated and a combination of cryocoolers was determined. To reduce the heat leakage...
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