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We present the calculation of the atmospheric neutrino fluxes with aninteraction model named JAM, which is used in PHITS (Particle and Heavy-IonTransport code System). The JAM interaction model agrees with the HARPexperiment a little better than DPMJET-III. After some modifications, itreproduces the muon flux below 1~GeV/c at balloon altitudes better than themodified-DPMJET-III which we used for the calculation of atmospheric neutrinoflux in previous works. Some improvements in the calculation of atmosphericneutrino flux are also reported.

Improvement of low energy atmospheric neutrino flux calculation using the JAM nuclear interaction model