Geometrical scaling for identified particles

Abstract

We show that recently measured transverse momentum spectra of identified particles exhibit geometrical scaling (GS) in scaling variable ${\tau }_{{\tilde{m}}_{\mathrm{T}}}=({\tilde{m}}_{\mathrm{T}}/Q_0{)}^2({\tilde{m}}_{\mathrm{T}}/W{)}^{\lambda }$ where ${\tilde{m}}_{\mathrm{T}}=\sqrt{m^2+p_{\mathrm{T}}^2}-m$. 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.

17 pages, 4 figures, in v2 some references added, v3 accepted in Phys. Lett. B, minor typos corrected

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