From Observations near the Earth to the Local Interstellar Spectra

Propagation of cosmic rays (CRs) from their sources to the observer is described mainly as plain diffusion at high energies, while at lower energies there are other physical processes involved, both in the interstellar space and in the heliosphere. The latter was a subject of considerable uncertainty until recently. New data obtained by several CR missions can be used to and the local interstellar spectra (LIS) of CR species that would significantly reduce the uncertainties associated with the heliospheric propagation. In this paper we present the LIS of CR protons and helium outside the heliospheric boundary. The proposed LIS are tuned to accommodate both, the low energy CR spectra measured by Voyager 1, and the high energy observations publicly released by BESS, Pamela, AMS-01 and AMS-02. The proton and helium LIS are derived by combining CR propagation in the Galaxy, as described by GALPROP, with the heliospheric modulation computed using the HelMod Monte Carlo Tool. The proposed LIS are tuned to reproduce the modulated spectra for both, high and low, levels of solar activity.