Geometrical scaling for identified particles

preprint2013arXivOpen access

Abstract

We show that recently measured transverse momentum spectra of identified particles exhibit geometrical scaling (GS) in scaling variable τm~T=(m~T/Q0)2(m~T/W)λτ_{\tilde{m}_{\rm T}}=(\tilde{m}_{\rm T}/Q_0)^{2} (\tilde{m}_{\rm T}/ W)^λ where m~T=m2+pT2−m\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.

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