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Production of ultra-high-energy (UHE) particles in astrophysics should not bedifferent from the hadron production at the contemporary proton colliders. LHCexperiments 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 inc.m.s. has two special features that are important at HE hadron collisions: thegrowing central-rapidity part with hadron-antihadron pair production and thevaluable diffractive peak in the region of the leading proton due to thetriple-pomeron term. The QCD phenomenological studies of previous years gave usthe Quark-Gluon String Model for the calculations of baryon and mesonproduction spectra in a full kinematical range of rapidities. The colliderproton production spectrum was recalculated to the laboratory system ofcoordinates, which is natural for astrophysical observations. The specifics ofcollider distributions of protons are reflected in astrophysical spectra as theknee of cosmic proton spectrum and as the spectrum bulge at the UHE area incosmic spectra of protons, neutrinos, and gamma-photons. They help us toconclude that the energy distribution of baryon production plays an importantrole in the production of UHE cosmic particles. The remarkable result of thisapproach is the estimation of maximal energy (Emax) of initial protons (andantiprotons) from the energy of knee in the proton spectrum that give us$E_{max} = 6*10^{12}$ GeV.

Triple-Pomeron Diffraction Peak as a Signature of UHE Proton-Initiated Spectra of Gammas and Neutrinos in Astrophysics