A three component model for hadron $p_\mathrm {T}$-spectra in pp and Pb–Pb collisions at the LHC

A three component model, consisting of the hydrodynamical blast-wave term and two power-law terms, is proposed for an improved fitting of the hadron spectra measured at midrapidity and for arbitrary transverse momenta ($p_\mathrm {T}$) in pp and heavy-ion collisions of different centralities at the LHC. The model describes well the available experimental data for all considered particles from pions to charmonia in pp at $\sqrt{s}=$ 2.76, 5.02, 7, 8 and 13 TeV and in Pb–Pb at $\sqrt{s_\mathrm {NN}}=$ 2.76 and 5.02 TeV.