2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/15155We developed numerical code for calculation of the extragalactic component of the spectra of leptons, nucleons and $γ$-rays resulting from ``top-down'' (non-acceleration) models for the case of uniform and isotropic source distribution. We explored two different classes of ``top-down'' scenarios: the wide earlier investigated class of X particles coming from collapse and/or annihilation of cosmic topological defects (such as cosmic strings, monopoles, etc.) and the models of super-heavy long-living X particles with lifetime of the order or much greater than the current Universe age.9 pages, 4 postscript figures, made some correctionsAstrophysicsHigh Energy Physics - Phenomenologytext