Anomalous Bremsstrahlung and the Structure of Cosmic-Ray Electron-Positron Fluxes at the GeV-TeV Energy Range

We reveal that the energy spectra of electrons-positrons in primary cosmic rays measured at atmosphere tops have double structures: an excess component Φ_e+^s (E)= Φ_e-^s (E) around 400 GeV, which originates from a strong e ⁺ e ^--source. and the distorted background Φ_e-⁰ (E). We supposed that the difference between AMS-CALET and Fermi-LAT-DAMPE data originates from the energy loss of the fluxes due to the anomalous bremsstrahlung effect at a special window. The evolution of spectra under the anomalous bremsstrahlung effect satisfies an improved electromagnetic cascade equation. The above spectra are parameterized and they can be used for further physics studies. We suggest checking previous applications of the Bethe-Heitler formula when studying the propagation of high-energy electrons and photons.