Soft and hard scales of the transverse momentum distribution in the Color String Percolation Model

Abstract

In color string models, the transverse momentum distribution (TMD) is obtained through the convolution of the Schwinger mechanism with the string tension fluctuations distribution. Considering a $q$-Gaussian distribution for these fluctuations, the TMD becomes a hypergeometric confluent function that adequately reproduces the characteristic scales at low and high $p_T$ values. In this approach, the hard scale of the TMD is a consequence of considering a heavy-tailed distribution for the string tension fluctuations whose width rises as $\sqrt{s}$, multiplicity or centrality increases. In this paper, we introduce the complete information of the TMD in the color string percolation model by means of the determination of the color suppression factor, which now also depends on the parameters of the $q$-Gaussian. To this end, we analyze the reported data on pp and AA collisions at different center of mass energies, multiplicities, and centralities. In particular, for minimum bias pp collisions, we found that the $q$-Gaussian parameters and the effective temperature are monotonically increasing functions of the center of mass energy. Similar results are found for AA collisions as a function of the centrality at fixed $\sqrt{s}$. We summarize these results in a phase diagram that indicates the $q$-Gaussian parameters region allowing the quark-gluon plasma formation.

arXiv comment24 pages, 10 figures

References in corpus (59)

• Heavy Ion Collisions: The Big Picture, and the Big Questions
• Transverse momentum and collision energy dependence of high $p_T$ hadron suppression in Au+Au collisions at ultrarelativistic energies
• Anomalous diffusion in the presence of external forces: exact time-dependent solutions and entropy
• Thermal Equilibration and Expansion in Nucleus-Nucleus Collision at the AGS
• Some Features of the Glasma
• Quantum quenches in 1+1 dimensional conformal field theories
• Measurement of inelastic, single- and double-diffraction cross sections in proton-proton collisions at the LHC with ALICE
• Deep inelastic scattering as a probe of entanglement
• Transverse momentum spectra and nuclear modification factors of charged particles in pp, p-Pb and Pb-Pb collisions at the LHC
• Hydrodynamical Description of 200 A GeV/c S+Au Collisions: Hadron and Electromagnetic Spectra
• Next-to-leading order QCD corrections to high-p_T pion production in longitudinally polarized pp collisions
• Percolation approach to Quark Gluon Plasma and $J/\psi$ suppression
• From QCD-based hard-scattering to nonextensive statistical mechanical descriptions of transverse momentum spectra in high-energy $pp$ and $p\bar{p}$ collisions
• Anomalous diffusion associated with nonlinear fractional derivative Fokker-Planck-like equation: Exact time-dependent solutions
• Pseudorapidity and transverse-momentum distributions of charged particles in proton-proton collisions at $\sqrt{\text{s}}$ = 13 TeV
• Energy Dependence of the Transverse Momentum Distributions of Charged Particles in pp Collisions Measured by ALICE
• The EPR paradox and quantum entanglement at sub-nucleonic scales
• Inplication of percolation of colour strings on multiplicities, correlations and the transverse momentum
• Fluctuations of string tension and transverse mass distribution
• String Clustering and J/Psi Suppression in Nuclear Collisions
• Charged-particle production as a function of multiplicity and transverse spherocity in pp collisions at $\sqrt{s}$ = 5.02 and 13 TeV
• Charged-particle distributions in $\sqrt{s}=13$ TeV $pp$ interactions measured with the ATLAS detector at the LHC
• High multiplicity pp events and J/ψ production at LHC
• Thermal radiation and entanglement in proton-proton collisions at the LHC
• Thermal excitation spectrum from entanglement in an expanding quantum string
• De-Confinement and Clustering of Color Sources in Nuclear Collisions
• Physical Resurgent Extrapolation
• Limit distributions of scale-invariant probabilistic models of correlated random variables with the q-Gaussian as an explicit example
• The Color Glass Condensate density matrix: Lindblad evolution, entanglement entropy and Wigner functional
• Strictly and asymptotically scale-invariant probabilistic models of $N$ correlated binary random variables having {\em q}--Gaussians as $N\to \infty$ limiting distributions
• Percolation of color sources and critical temperature
• Inclusive Hadron Production in the CERN-LHC Era
• Multiplicity dependence of J/$\psi$ production at midrapidity in pp collisions at $\sqrt{s}$ = 13 TeV
• String and Parton Percolation
• Anisotropic flows from colour strings: Monte-Carlo simulations
• Thermal behavior and entanglement in Pb-Pb and p-p collisions
• Transverse momentum fluctuations and percolation of strings
• Investigating entanglement entropy at small-x in DIS off protons and nuclei
• X(3872) Transport in Heavy-Ion Collisions
• Ridge from Strings
• High energy QCD: multiplicity distribution and entanglement entropy
• Percolation of Color Sources and the determination of the Equation of State of the Quark-Gluon Plasma (QGP) produced in central Au-Au collisions at \sqrt S_{NN}= 200 GeV
• Extended q-Gaussian and q-exponential distributions from Gamma random variables
• Thermodynamic and transport properties in Au + Au collisions at RHIC energies from the clustering of color strings
• Scale invariance and related properties of q-Gaussian systems
• The origin of thermal component in the transverse momentum spectra in high energy hadronic processes
• Role of quarks in hadroproduction in high energy collisions
• Interacting color strings as the origin of the liquid behavior of the quark-gluon plasma
• String percolation in AA and p+p collisions
• A generalized fluctuation relation for power-law distributions
• Elliptic flow at RHIC and LHC in the string percolation approach
• String percolation threshold for elliptically bounded systems
• Transport Coefficient to Trace Anomaly in the Clustering of Color Sources Approach
• Bose-Einstein condensation and non-extensive statistics
• Thermal and hard scales in transverse momentum distributions, fluctuations and entanglement
• Percolation leads to finite-size effects on the transition temperature and center of mass energy required for the quark-gluon plasma formation
• Area covered by disks in small-bounded continuum percolating systems: An application to the string percolation model
• Resonance Decay Contributions to Higher-Order Anisotropic Flow Coefficients
• Energy loss as the origin of an universal scaling law of the elliptic flow

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