  Chemical non-equilibrium version of the statistical hadronization model
combined with a single-freeze-out scenario is used to analyze the
transverse-momentum spectra of pions, kaons and protons produced in heavy-ion
collisions at sqrt(sNN) = 2.76 TeV. With the statistical parameters found in
earlier studies of hadronic ratios and two new geometric parameters determined
by the absolute normalization and slopes of the spectra, we obtain a very good
agreement between the data and the model predictions. In particular, the
enhancement of pions observed at the very low transverse-momenta is very well
reproduced. In the chemical non-equilibrium approach, this effect may be
naturally interpreted as the onset of pion condensation in heavy-ion
collisions. We further stress that the chemical non-equilibrium explains not
only the proton yield but the proton spectra as well.
