Hardening Effects of the TeV-scale Cosmic Ray Proton and Helium Spectra

We suggest a new way to understand cosmic ray proton and helium spectrum around TeV-scale energy by introducing discrete local sources. The source of diffusion equation in cosmic ray propagation is set to be a point source given by delta function, contrary to conventional models which have continuous sources. We calculate the spectrum of proton and helium originated in close and young supernovas. By combining the solutions from discrete source and faraway continuous sources, we found cosmic ray propagation parameters of both helium and proton which explain the discrepancy between conventional model of cosmic ray and recent measurements of CREAM, PAMELA, and AMS-02 experiments, without any additional assumptions.