Geometrical Scaling in Inelastic Inclusive Particle Production at the LHC

Abstract

Analyzing recent ALICE data on inelastic pp scattering at the LHC energies we show that charged particle distributions exhibit geometrical scaling (GS). We show also that the inelastic cross-section is scaling as well and that in this case the quality of GS is better than for multiplicities. Moreover, exponent $\lambda$ characterizing the saturation scale is for the cross-section scaling compatible with the one found in deep inelastic ep scattering at HERA. Next, by parametrizing charged particles distributions by the Tsallis-like formula, we find a somewhat unexpected solution that still exhibits GS, but differs from the "standard" one where the Tsallis temperature is proportional to the saturation scale.

9 pages, 7 figures

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Cited by in corpus (15)

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• Parton saturation scaling function for exclusive production of vector mesons and Deeply Virtual Compton Scattering
• Saturation momentum scale extracted from semi-inclusive transverse spectra in high-energy pp collisions
• Scaling properties of elastic proton-proton scattering at LHC energies
• Scaling properties of direct photon yields in heavy ion collisions
• Event-by-event mean $p_{\mathrm{T}}$ fluctuations and transverse size of color flux tube generated in $p$-$p$ collisions at $\sqrt{s}$=0.90TeV
• Hadron transverse momentum distributions in the Tsallis statistics with escort probabilities
• Geometrical scaling of prompt photons in heavy ion collisions
• Rapidity dependence of transverse-momentum multiplicity correlations
• Saturation scale fluctuations and multi-particle rapidity correlations
• Multiplicity-dependent saturation momentum in $p$-Pb collisions at 5.02 TeV
• Saturation and geometrical scaling
• Geometrical Scaling of Direct Photons in Relativistic Heavy Ion and d+Au Collisions