certain form of the scaling function $F(\tau)$. To this end we have used an experimental observation that identified particle spectra for small and intermediate values of $p_{\rm T}$ are well described by the Tsallis-like parametrization (\[Tsallis\]). This allowed us to relate Tsallis temperature to the energy dependent average saturation scale $\bar{Q}_{\rm s}$ (\[aveQsat\]). Within approximation used in this paper Tsallis exponent $n$ remains energy independent. Corrections to this solution are in principle calculable in the present approach.

Phenomenological findings of the present paper call for deeper theoretical understanding. The meaning of constant $\kappa_{\alpha}$ in Eq. (\[Tsol\]) and species dependence of exponent $n_{\alpha}$ are the most obvious examples. This may, however, require to construct a nonperturbative fragmentation model which is beyond the scope of the present paper.

Acknowledgements {#acknowledgements .unnumbered}
================

The author would like to thank Larry McLerran for discussion and remarks and the ALICE Collaboration for an access to the data on the $p_{\rm T}$ spectra. This research has been supported by the Polish NCN grant 2011/01/B/[\
]{}ST2/00492.

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