  The cosmic ray energy spectra of protons and helium nuclei, which are the
most abundant components of cosmic radiation, exhibit a remarkable hardening at
energies above one hundred GeV/nucleon. Recent data from AMS-02 confirms this
feature with a higher significance. This data challenges the current models of
cosmic ray acceleration in Galactic sources and propagation in the Galaxy.
Here, we explain the observed break in the spectra of proton and helium nuclei
in light of recent advances of cosmic ray diffusion theories in turbulent
astrophysical sources as a result of a transition between different cosmic ray
diffusion regimes. We reconstruct the observed cosmic ray spectra using the
fact that transition from normal diffusion to superdiffusion changes the
efficiency of particle acceleration and causes the change in the spectral
index. We find that calculated proton and helium spectra match very well with
the data.
