More and more experiments have identified that the energy spectra of both primary and secondary cosmic-rays exhibit a hardening above GV. Most recently, the DAMPE experiment has reported a hardening of boron-to-carbon ratio at GV. These signs call for modifications of the conventional cosmic-ray (CR) picture. In this work, we propose that the plethoric secondary cosmic rays, for example, boron, antiprotons, originate from the hadronic interactions of freshly accelerated cosmic rays with the interstellar gas near the sources. We find that secondary-to-primary ratios, for example, boron-to-carbon, boron-to-oxygen and antiproton-to-proton ratios, could be well described. The measurements of electrons and positrons could also be accounted for.

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