Geometrical scaling for identified particles

Abstract

We show that recently measured transverse momentum spectra of identified particles exhibit geometrical scaling (GS) in scaling variable $\tau_{\tilde{m}_{\rm T}}=(\tilde{m}_{\rm T}/Q_0)^{2} (\tilde{m}_{\rm T}/ W)^{\lambda}$ where $\tilde{m}_{\rm T}=\sqrt{m^2+p^2_{\rm T}}-m$. We explore consequences of GS and show that both mid rapidity multiplicity and mean transverse momenta grow as powers of scattering energy. Furthermore, assuming Tsallis-like parametrization of the spectra we calculate the coefficients of this growth. We also show that Tsallis temperature is related to the average saturation scale.