Universal geometrical scaling for hadronic interactions

Abstract

It is shown that defining a suitable saturation momentum $Q_s$, the $p_T$ distributions of pp and AA collisions for any centrality and energy depend only on $\tau =p_T^2/Q_s^2$ for $p_T<Q_s$. For different projectiles, targets and centralities, the corresponding $\tau$-lines present small differences for $\tau <1$. For $\tau >1$, the higher the energy or the larger the size of the participant nuclei, the larger suppression present the respective spectra. The integrated spectrum gives a fraction of the hard multiplicity in the range from 9% for pp at 0.9 TeV to 2% for Pb-Pb central collisions at 2.76 TeV.

7 pages, 5 figures, 1 table

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• Thermal behavior and entanglement in Pb-Pb and p-p collisions
• Self-similarity in jet events following from p-p collisions at LHC
• Investigating the diffractive gluon jet production in lepton-ion collisions
• Saturation momentum scale extracted from semi-inclusive transverse spectra in high-energy pp collisions
• Energy loss as the origin of an universal scaling law of the elliptic flow
• Universal geometrical scaling of the elliptic flow
• Multiplicity-dependent saturation momentum in $p$-Pb collisions at 5.02 TeV
• Universal scaling of the pion, kaon and proton $p_{\mathrm{T}}$ spectra in Pb-Pb collisions at 2.76 TeV
• Universal scaling of meson and baryon spectra in p-Pb collisions at 5.02 TeV