Saturation momentum scale extracted from semi-inclusive transverse spectra in high-energy pp collisions

Abstract

Geometric scaling is well confirmed for transverse momentum distributions observed in proton-proton collisions at LHC energies. We introduced multiplicity dependence on a saturation momentum of the geometrical scaling, assuming the scaling holds for semi-inclusive distributions as well as for inclusive distributions. The saturation momentum is usually given by Bjorken's $x$ variable, but redefinition of the scaling variable can make the saturation momentum a function of collision energy $W$. We treat the energy as a free parameter (denoted $W^{\ast }$ to distinguish it from $W$) and associate the energy-dependent saturation momentum $Q_{\mathrm{sat}}(W^{\ast })$ with particle number density. By using $Q_{\mathrm{sat}}(W^{\ast })$ for a scaling variable $\tau$, we show semi-inclusive distributions can be geometrically scaled. i.e., all semi-inclusive spectra observed at $W$=0.90, 2.76 and 7.00 TeV overlap one universal function. The particle density dependences of mean transverse momentum $⟨p_{\mathrm{T}}⟩$ for LHC energies scales in terms of $Q_{\mathrm{sat}}(W^{\ast })$. Furthermore, our model explains a scaling property of event-by-event $p_{\mathrm{T}}$ fluctuation measure $\sqrt{C_m}/⟨p_{\mathrm{T}}⟩$ at LHC energies for pp collisions, where $C_m$ is two-particle transverse momentum correlator. Our analysis of the $p_{\mathrm{T}}$ fluctuation makes possible to evaluate a non-perturbative coefficient of the gluon correlation function.

arXiv comment2.nd version: 9 pages 8 figures

References in corpus (45)

• Saturation Effects in Deep Inelastic Scattering at low $Q^2$ and its Implications on Diffraction
• The Color Glass Condensate
• Observation of Long-Range Near-Side Angular Correlations in Proton-Proton Collisions at the LHC
• Hadron production in nuclear collisions at RHIC and high density QCD
• Enhanced production of multi-strange hadrons in high-multiplicity proton-proton collisions
• Geometric scaling for the total gamma^* p cross section in the low x region
• Saturation and BFKL dynamics in the HERA data at small x
• Evidence for collectivity in pp collisions at the LHC
• Manifestations of high density QCD in the first RHIC data
• Glasma flux tubes and the near side ridge phenomenon at RHIC
• Geometric Scaling above the Saturation Scale
• Geometric scaling as traveling waves
• Small System Collectivity in Relativistic Hadron and Nuclear Collisions
• Color Glass Condensate at the LHC: hadron multiplicities in $pp$, $pA$ and $AA$ collisions
• Novel Collective Phenomena in High-Energy Proton-Proton and Proton-Nucleus Collisions
• Transverse momentum spectra of charged particles in proton-proton collisions at $\sqrt{s}=900$ GeV with ALICE at the LHC
• Study of the inclusive production of charged pions, kaons, and protons in pp collisions at sqrt(s) = 0.9, 2.76, and 7 TeV
• Charged particle multiplicities in pp interactions at sqrt(s) = 0.9, 2.36, and 7 TeV
• Multiplicity dependence of the average transverse momentum in pp, p-Pb, and Pb-Pb collisions at the LHC
• Long Range Correlations and the Soft Ridge in Relativistic Nuclear Collisions
• Charged-particle multiplicities in proton-proton collisions at $\sqrt{s}$ = 0.9 to 8 TeV
• Energy Dependence of the Transverse Momentum Distributions of Charged Particles in pp Collisions Measured by ALICE
• Event-by-event mean $p_{\mathrm{T}}$ fluctuations in pp and Pb-Pb collisions at the LHC
• Saturation models of HERA DIS data and inclusive hadron distributions in p+p collisions at the LHC
• Transverse Momentum of Protons, Pions and Kaons in High Multiplicity pp and pA Collisions: Evidence for the Color Glass Condensate?
• Saturation and Scaling of Multiplicity, Mean p_T and p_T Distributions from 200 GeV < sqrt{s} < 7 TeV - Addendum
• Non-perturbative computation of double inclusive gluon production in the Glasma
• Improved Geometrical Scaling at the LHC
• On the possibility of q-scaling in high energy production processes
• Geometrical Scaling and the Dependence of the Average Transverse Momentum on the Multiplicity and Energy for the ALICE Experiment
• Geometrical scaling for identified particles
• Limiting fragmentation from the Color Glass Condensate
• Searching Evidence for the Color Glass Condensate at RHIC
• Geometrical scaling in hadronic collisions
• Geometrical Scaling in Inelastic Inclusive Particle Production at the LHC
• Transverse momentum versus multiplicity fluctuations in high-energy nuclear collisions
• Universal geometrical scaling for hadronic interactions
• Thermal radiation and inclusive production in the CGC/saturation approach at high energies
• p_T-fluctuations in high-energy p-p and A-A 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
• Gluon correlations in the glasma
• Event-by-event mean p_T fluctuations in pp and Pb-Pb collisions at the LHC
• Event-by-event mean p_T fluctuations in pp and Pb-Pb collisions measured by the ALICE experiment at the LHC
• Scaling behavior of transverse momenta distributions in hadronic and nuclear collisions
• Small systems at the LHC

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