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The aim of the FAMU experiment is to realize the first measurement of thehyperfine splitting (hfs) in the 1S state of muonic hydrogen $\DeltaE^{hfs}_{1S}$, by using the RIKEN-RAL intense pulsed muon beam and ahigh-energy mid-infrared tunable laser. This requires a detailed study of themuon transfer mechanism at different temperatures and hence at differentepithermal states of the muonic system. The experimental setup involves acryogenic pressurized gas target and a detection system based on siliconphotomultipliers-fiber beam hodoscopes and high purity Germanium detectors andCerium doped Lanthanium Bromide crystals, for X-rays detection at energiesaround 100 keV. Simulation, construction and detector performances of the FAMUapparatus at RAL are reported in this paper.

The FAMU experiment at RAL to study the muon transfer rate from hydrogen to other gases