Neutrino factory (4). Application for high-intensity and high-brilliance muon sources

This text contains the following subjects. (1) Introduction, (2) Experiments to explore lepton/flavor non-conservation process of the muon, (2-1) Muon Lepton Flavor Violating (LFV) process by the standard theory, (2-2) Muon LFV process and new physics, (2-3) Experiments to explore muon/electron conversion process, (3) Phase Rotated Intense Slow Muon source (PRISM) and PRIsm Muon Electron conversion (PRIME) experiments, (3-1) What is the PRISM? (3-2) The composition of PRISM, (3-3) Present development status of PRISM, (4) PRISM phase space rotator, (4-1) The principle of phase space rotation, (4-2) Selection of the phase space rotator, (4-3) Beam optics design of PRISM-FFAG, (4-4) Electromagnets of PRISM-FFAG, and (4-5) RF acceleration system. (K.Y.)