Description of High-Energy pp Collisions Using Tsallis Thermodynamics: Transverse Momentum and Rapidity Distributions

Abstract

A systematic analysis of transverse momentum and rapidity distributions measured in high-energy proton - proton (pp) collisions for energies ranging from 53 GeV to 7 TeV using Tsallis thermodynamics is presented. The excellent description of all transverse momentum spectra obtained in earlier analyses is confirmed and extended. All energies can be described by a single Tsallis temperature of 68 +/- 5 MeV at all beam energies and particle types investigated (43 in total). The value of the entropic index, q, shows a wider spread but is always close to q approx 1.146. These values are then used to describe the rapidity distributions using a superposition of two Tsallis fireballs along the rapidity axis. It is concluded that the hadronic system created in high-energy p - p collisions between 53 GeV and 7 TeV can be seen as obeying Tsallis thermodynamics.

arXiv comment19 pages 22 figures

References in corpus (24)

• Transverse-momentum and pseudorapidity distributions of charged hadrons in pp collisions at sqrt(s) = 7 TeV
• Charged-particle multiplicities in pp interactions measured with the ATLAS detector at the LHC
• Measurements of Strange Particle Production in $p+p$ Collisions at $\sqrt{s}$= 200 GeV
• Transverse momentum and pseudorapidity distributions of charged hadrons in pp collisions at sqrt(s) = 0.9 and 2.36 TeV
• Production of pions, kaons and protons in pp collisions at $\sqrt{s}=900$ GeV with ALICE at the LHC
• Phobos results on charged particle multiplicity and pseudorapidity distributions in Au+Au, Cu+Cu, d+Au, and p+p collisions at ultra-relativistic energies
• The Tsallis Distribution in Proton-Proton Collisions at $\sqrt{s}$ = 0.9 TeV at the LHC
• Identified charged hadron production in p+p collisions at sqrt(s)=200 and 62.4 GeV
• Strange Particle Production in pp Collisions at sqrt(s) = 0.9 and 7 TeV
• Study of the inclusive production of charged pions, kaons, and protons in pp collisions at sqrt(s) = 0.9, 2.76, and 7 TeV
• Neutral pion and $\eta$ meson production in proton-proton collisions at $\sqrt{s}=0.9$ TeV and $\sqrt{s}=7$ TeV
• Non-extensive statistical mechanics and particle spectra in elementary interactions
• Tsallis Fits to pT Spectra and Multiple Hard Scattering in pp Collisions at the LHC
• Production of K${}^{\ast }$(892)${}^0$ and $\varphi$(1020) in pp collisions at $\sqrt{s}=7$ TeV
• Non-extensivity of hadronic systems
• Transverse Momentum Distributions in proton - proton Collisions at LHC Energies and Tsallis Thermodynamics
• Tsallis Fits to p_T Spectra for pp Collisions at LHC
• Systematic analysis of pT -distributions in p + p collisions
• Tsallis statistics approach to the transverse momentum distributions in p-p collisions
• Self-consistency in non-extensive thermodynamics of highly excited hadronic states
• Pseudorapidity Distribution of Charged Particles in PbarP Collisions at root(s)= 630GeV
• Chemical Equilibrium in Heavy Ion Collisions: Rapidity Dependence
• Systematic analysis of transverse momentum distribution and non-extensive thermodynamics theory
• Charged Hadron Multiplicity Distribution at Relativistic Heavy Ion Colliders

Cited by in corpus (80)

• From QCD-based hard-scattering to nonextensive statistical mechanical descriptions of transverse momentum spectra in high-energy $pp$ and $p\bar{p}$ collisions
• Cosmic Ray Antiprotons at High Energies
• Radial Flow in Non-Extensive Thermodynamics and Study of Particle Spectra at LHC in the Limit of Small $(q-1)$
• Fractals, non-extensive statistics and QCD
• Systematic analysis of hadron spectra in p+p collisions using Tsallis distribution
• Nuclear Modification Factor Using Tsallis Non-extensive Statistics
• Forward production of ${\rm Y}$ mesons in $pp$ collisions at $\sqrt{s}=7$ and 8TeV
• Multiplicity Dependence of Non-extensive Parameters for Strange and Multi-Strange Particles in Proton-Proton Collisions at $\sqrt{s}=7$ TeV at the LHC
• Using the Tsallis distribution for hadron spectra in $pp$ collisions: Pions and quarkonia at $\sqrt{s}$ = 5--13000 GeV
• Radial Flow and Differential Freeze-out in Proton-Proton Collisions at $\sqrt{s}=7$ TeV at the LHC
• Analyses of whole transverse momentum distributions in $p\bar{p}$ and $pp$ collisions by using a modified version of Hagedorn's formula
• Non extensive thermodynamics and neutron star properties
• On the precise determination of the Tsallis parameters in proton - proton collisions at LHC energies
• Quark matter revisited with non extensive MIT bag model
• Fractal structure and non extensive statistics
• Investigating the inclusive transverse spectra in high-energy $pp$ collisions in the context of geometric scaling framework
• Nonextensive Nambu Jona-Lasinio model of QCD matter revisited
• Analytic results for the Tsallis thermodynamic variables
• Thermodynamic properties and transport coefficients of QCD matter within the non-extensive Polyakov-Nambu-Jona-Lasinio model
• Hadron transverse momentum distributions of the Tsallis normalized and unnormalized statistics
• Geometrical Scaling in Inelastic Inclusive Particle Production at the LHC
• Equivalence of the phenomenological Tsallis distribution to the transverse momentum distribution of $q$-dual statistics
• Generalization of the possible algebraic basis of $q$-triplets
• Approach of complexity in nature: Entropic nonuniqueness
• Collective expansion in pp collisions using the Tsallis statistics
• Event shape and Multiplicity dependence of Freeze-out Scenario and System Thermodynamics in Proton+Proton Collisions at $\sqrt{s}$ = 13 TeV using PYTHIA8
• Lattice QCD thermodynamics and RHIC-BES particle production within generic nonextensive statistics
• Ultrarelativistic transverse momentum distribution of the Tsallis statistics
• Bag-type Model with Fractal Structure
• Phase transition for the system of small volume in the ${\varphi }^4$ theory in the Tsallis nonextensive statistics
• Comparative study of the heavy-quark dynamics with the Fokker-Planck Equation and the Plastino-Plastino Equation
• Effects of the Tsallis distribution in the linear sigma model
• Chiral phase transitions in the linear sigma model in the Tsallis nonextensive statistics
• The Novel Scaling of Tsallis Parameters from the Transverse Momentum Spectra of Charged Particles in Heavy-Ion Collisions
• Pseudorapidity distributions of charged particles in pp($\overline{\mathrm{p}}$), p(d)A and AA collisions using Tsallis thermodynamics
• Description of Charged Particle Pseudorapidity Distributions in Pb+Pb Collisions with Tsallis Thermodynamics
• Route from discreteness to the continuum for the non-logarithmic $q$-entropy
• Momentum distribution and correlation for a free scalar field in the Tsallis nonextensive statistics based on density operator
• $J/\psi$ Production Dynamics: Event shape, Multiplicity and Rapidity dependence in Proton+Proton Collisions at LHC energies using PYTHIA8
• Nuclear modification factor in Pb-Pb and p-Pb collisions using Boltzmann transport equation
• Comparing standard distribution and its Tsallis form of transverse momenta in high energy collisions
• Examining nonextensive statistics in relativistic heavy-ion collisions
• QCD equation of state with Tsallis statistics for heavy-ion collisions
• QCD phase diagram and critical exponents within the nonextensive Polyakov-Nambu-Jona-Lasinio model
• Non-extensive distributions for a relativistic Fermi Gas
• Extensive/nonextensive statistics for $p_T$ distributions of various charged particles produced in p+p and A+A collisions in a wide range of energies
• Particles Multiplicity Based on Rapidity in Landau and Artificial Neural Network(ANN) Models
• Study of QCD dynamics using small systems
• Entropies from coarse-graining: convex polytopes vs. ellipsoids
• Nonextensive effects on QCD chiral phase diagram and baryon-number fluctuations within Polyakov-Nambu-Jona-Lasinio model
• Hadron transverse momentum distributions in the Tsallis statistics with escort probabilities
• Propagation of non-linear waves in hot, ideal, and non-extensive quark-gluon plasma
• Nonlinear waves in a hot, viscous and nonextensive quark gluon plasma
• Relativistic Gas: Invariant Lorentz Distribution for the velocities
• Non-Extensive Behaviour of the QCD Strong Coupling Constant
• The Tsallis entropy and the BKT-like phase transition in the impact parameter space for $pp$ and $\bar{p}p$ collisions
• Momentum Distribution and Correlation due to mass difference caused by power-like distribution
• Non-extensive (3+1)-dimensional hydrodynamics for relativistic heavy-ion collisions
• Transverse momentum fluctuation under the Tsallis distribution at high energies
• Multiplicity spectra in $e^{+}{e}^{-}$ and $\overline{p}p$ collisions in terms of Tsallis and Weibull distributions
• Thermodynamic relations and fluctuations in the Tsallis statistics
• Information Shift Dynamics Described by Tsallis $q=3$ Entropy on a Compact Phase Space
• A unified formalism to study the pseudorapidity spectra in heavy-ion collision
• Scale dependence of the q and T parameters of the Tsallis distribution in the process of jet fragmentation
• Chiral phase transition within the linear sigma model in the Tsallis nonextensive statistics based on density operator
• Event patterns (particle scatter plots) extracted from charged particle spectra in $pp$ and Pb-Pb collisions at 2.76 TeV
• Fugacity versus chemical potential in nonadditive generalizations of the ideal Fermi-gas
• Chiral phase transition in the linear sigma model within Hartree factorization in the Tsallis nonextensive statistics
• Group theory, entropy and the third law of thermodynamics
• On Distributions of Emission Sources and Speed of Sound in Proton-proton (Proton-antiproton) Collisions
• Nonextensive statistics based on Landsberg-Vedral entropy
• Determination of the chemical potential in the Tsallis distribution at LHC energies
• Effects of Tsallis distribution on parametric resonance in chiral phase transitions
• QCD phase transition at finite temperature and chemical potential with the non-extensive statistics
• Non-extensive Effects on the QCD Equation of State and Fluctuations of Conserved Charges within Polyakov Quark Meson Model
• Rapidity spectra in high-energy collisions and longitudinal nuclear suppression from nonadditive statistics
• Analytical calculations of the Quantum Tsallis thermodynamic variables
• Gauge fields renormalization groups and thermofractals
• Fingerprint of Tsallis statistics in cosmic ray showers
• Critical Temperature in Nonextensive Hadron Models: A Pressure-based Approach