  Production of ultra-high-energy (UHE) particles in astrophysics should not be
different from the hadron production at the contemporary proton colliders. LHC
experiments are providing us with the proton spectra at very high energy (VHE)
that are measured in the center-of-mass system (c.m.s.). The proton spectrum in
c.m.s. has two special features that are important at HE hadron collisions: the
growing central-rapidity part with hadron-antihadron pair production and the
valuable diffractive peak in the region of the leading proton due to the
triple-pomeron term. The QCD phenomenological studies of previous years gave us
the Quark-Gluon String Model for the calculations of baryon and meson
production spectra in a full kinematical range of rapidities. The collider
proton production spectrum was recalculated to the laboratory system of
coordinates, which is natural for astrophysical observations. The specifics of
collider distributions of protons are reflected in astrophysical spectra as the
knee of cosmic proton spectrum and as the spectrum bulge at the UHE area in
cosmic spectra of protons, neutrinos, and gamma-photons. They help us to
conclude that the energy distribution of baryon production plays an important
role in the production of UHE cosmic particles. The remarkable result of this
approach is the estimation of maximal energy (Emax) of initial protons (and
antiprotons) from the energy of knee in the proton spectrum that give us
$E_{max} = 6*10^{12}$ GeV.
