  Collisions of cosmic ray particles with ultra-high initial energies with
nuclei in the atmosphere open a wide room for appearing of the novel dynamical
features for multiparticle production processes. In particular, the pion-lasing
behavior driven by Bose-Einstein condensation would result in the shift to
larger multiplicities and, as consequence, could provide, in general, the
enhanced yield of cosmic muons. In the present work the critical value of the
space charged particle density for onset of Bose-Einstein condensation of the
boson (pion) wave-packets into the same wave-packet state is estimated within
the model with complete multiparticle symmetrization for the energy domain
corresponded to the ultra-high energy cosmic rays (UHECR). Energy dependence of
mean density of charged pions is evaluated for the cases of absent of the
Bose-Einstein effects and for presence of laser-like behavior of pions. The
possible influence of the Bose-Einstein condensation is discussed for the muon
production in UHECR particle collisions with the atmosphere.

High Energy Physics - Phenomenology;High Energy Astrophysical Phenomena