On the e$^+$e$^-$ excesses and the knee of the cosmic rays -- hints of cosmic rays acceleration at young supernova remnant

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Abstract
Supernova remnants have long been regarded as sources of the Galactic cosmic rays up to petaelectronvolts, but convincing evidence is still lack. Considering the e$^+$e$^-$ pair production via interactions between high energy cosmic rays and background photons in an environment like the young supernova remnant, we explore the common origin of the subtle features of the cosmic rays spectra, such as the knee of cosmic rays and the excesses of electrons/positrons recently observed by ATIC, H.E.S.S., Fermi-LAT and PAMELA. Numerical calculation shows that those features of cosmic rays spectra can be well reproduced in this picture. The success of such a coherent explanation serves in turn as an evidence that at least a portion of cosmic rays might be accelerated at young supernova remnants.

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