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The antiparticle energy spectra of Galactic cosmic rays (CRs) have severalexciting features such as the unexpected positron excess at $E\sim$10-200\,GeVand the remarkably hard antiproton flux at $E\sim$\,60--450\,GeV recentlymeasured by the \AMS{} experiment. In this paper, we report calculations ofantiparticle CR spectra arising from secondary production and theircorresponding uncertainties. Using the most recent data on CR protons, helium,carbon, and nuclear ratios $^{10}$Be/$^{9}$Be and B/C, we have performed aglobal Bayesian analysis, based on a Markov Chain Monte Carlo samplingalgorithm, under a scenario of spatial-dependent CR diffusion in the Galaxywhich reproduces well the observed spectral hardening in the CR hadron fluxes.While the high-energy positron excess requires the contribution of additionalunknown sources, we found that the antiproton data are consistent within theestimated uncertainties, with our predictions based on secondary production.

Bayesian analysis of cosmic-ray propagation parameters: secondary antiparticles from spatial-dependent diffusion models