A Novel RID Algorithm of Muon Trajectory Reconstruction in Water Cherenkov Detectors

Abstract Cosmic rays that strike the top of Earth’s atmosphere generate a shower secondary particles move toward surface with relativistic speeds. Water Cherenkov detectors (WCDs) on ground can detect charged muons, which are one many generated in shower, imaging technique. A large number these muons travel WCD tanks near speed light vacuum, faster than water, and so trigger isotropic radiation, is detected by photomultiplier tubes (PMTs) placed inside tanks. When radial component muon PMT drops from superluminal to subluminal, records an optical phenomenon known as image doubling (RID), causes two images same appear suddenly, both moving geometrically opposite directions original track. The quantities associated RID effect be measured experimentally variety detector types used find various points trajectory muon. In this paper, detailed study reconstructing entering using technique has been presented. It found measurements standard observables enables complete reconstruction high degree accuracy less 1% error.