Study of the Interaction Model Using Atmospheric Muons for the Calculation of Atmospheric Neutrino Flux

The atmospheric neutrino and the muons are produced simultaneously in the decay of mesons, which is created by the hadronic interaction of cosmic rays and air nuclei. The study of atmospheric muon is important for the calculation of the atmospheric neutrino spectra. Especially when the cosmic ray spectra (CRS) are known well, the study of the atmospheric muon is the study of the hadronic interaction model. In this paper, we construct CRS models with recent observations above 100 GeV/n, and modify the hadronic interaction model so that it reconstruct the observed atmospheric muon spectra for the most different CRS model from our previous CRS model. It is found the atmospheric neutrino spectra calculated with the CRS models and the interaction model which reproduce the obaserved atmospheric muon spectra are virtually the samme as our previous calculation.