Abstract
A model of high-energy positrons in cosmic rays is suggested according to which the positron flux detected at E>or=10 GeV is due to the interactions of very high energy (Egamma >100 GeV) gamma rays with optical and ultraviolet (UV) radiation in the vicinity of discrete sources. In the frames of the model it is possible to explain both the sharp increase of the ratio r+(E)=e+/(e++e-) in cosmic rays at energies E>or=10 GeV, and the total spectra of electrons and positrons at energies E<or=1 TeV.

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