Flux of light antimatter nuclei near Earth, induced by cosmic rays in the Galaxy and in the atmosphere

The fluxes of light antinuclei $A\ensuremath{\le}4$ induced near Earth by cosmic ray interactions with the interstellar matter in the Galaxy and with the Earth's atmosphere are calculated in a phenomenological framework. The hadronic production cross section for antinucleons is based on a recent parametrization of a wide set of accelerator data. The production of light nuclei is calculated using coalescence models. For the standard coalescence model, the coalescence radius is fitted to the available experimental data. The nonannihilating inelastic scattering process for the antideuterons is discussed and taken into account for the first time via a more realistic procedure than used so far for antiprotons.