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Cosmic ray electron spectrum due to the dispersion of injection spectrum
Authors:Tian-Lu Chen  Wei Liu  Qi Gao  Mao-Yuan Liu  Hai-Jin Li  Danzengluobu  Ying Shi
Abstract:The cosmic-ray total electron spectrum(electrons plus positrons) has been measured precisely up to Te V energies,with more interesting features found.Exhaustive analyses of the electron spectrum strongly support a spectral hardening above 100 GeV,rather than a featureless single power-law,which is confirmed by the most recent observations.Meanwhile,the measurements of the DAMPE satellite have verified the presence of a knee-like structure around 1 TeV in the electron spectrum,resembling the cosmic-ray knee.In this paper,we establish a physical model in which the observed electron spectrum is composed of a superposition of CR sources with various spectral indices and high-energy cutoffs.The dispersion of the power index is assumed to be Gaussian,while the cutoff energy Ec follows a power-law distribution.These simple ideas can account naturally for both the hundred-GeV excess and the TeV spectral break.
Keywords:electron  spectrum  cosmic rays  source  DAMPE
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