The Tsallis Distribution in Proton-Proton Collisions at $\sqrt{s}$ = 0.9 TeV at the LHC

Abstract

The Tsallis distribution has been used recently to fit the transverse momentum distributions of identified particles by the STAR and PHENIX collaborations at the Relativistic Heavy Ion Collider and by the ALICE and CMS collaborations at the Large Hadron Collider. Theoretical issues are clarified concerning the thermodynamic consistency of the Tsallis distribution in the particular case of relativistic high energy quantum distributions. An improved form is proposed for describing the transverse momentum distribution and fits are presented together with estimates of the parameter $q$ and the temperature $T$.

15 pages, 7 figures. arXiv admin note: substantial text overlap with arXiv:1106.3405

References in corpus (7)

• Measurements of Strange Particle Production in $p+p$ Collisions at $\sqrt{s}$= 200 GeV
• Production of pions, kaons and protons in pp collisions at $\sqrt{s}=900$ GeV with ALICE at the LHC
• 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
• Nonextensive effects on the relativistic nuclear equation of state
• Color Superconductivity and Tsallis Statistics

Cited by in corpus (125)

• The Tsallis Distribution in Proton-Proton Collisions at $\sqrt{s}$ = 0.9 TeV at the LHC
• Relativistic Thermodynamics: Transverse Momentum Distributions in High-Energy Physics
• Systematic properties of the Tsallis Distribution: Energy Dependence of Parameters in High-Energy p-p Collisions
• Tsallis Fits to pT Spectra and Multiple Hard Scattering in pp Collisions at the LHC
• From QCD-based hard-scattering to nonextensive statistical mechanical descriptions of transverse momentum spectra in high-energy $pp$ and $p\bar{p}$ collisions
• Description of High-Energy pp Collisions Using Tsallis Thermodynamics: Transverse Momentum and Rapidity Distributions
• Production of deuterons, tritons, ${}^3$He nuclei and their anti-nuclei in pp collisions at $\sqrt{\text{s}}$ = 0.9, 2.76 and 7 TeV
• Radial Flow in Non-Extensive Thermodynamics and Study of Particle Spectra at LHC in the Limit of Small $(q-1)$
• Non-extensivity of hadronic systems
• Transverse Momentum Distributions in proton - proton Collisions at LHC Energies and Tsallis Thermodynamics
• Thermodynamics with fractal structure, Tsallis statistics and hadrons
• Systematic analysis of pT -distributions in p + p collisions
• Consequences of temperature fluctuations in observables measured in high energy collisions
• Tsallis statistics approach to the transverse momentum distributions in p-p collisions
• Thermodynamic Derivation of the Tsallis and Rényi Entropy Formulas and the Temperature of Quark-Gluon Plasma
• The Tsallis Distribution at Large Transverse Momenta
• Systematic Analysis of the Non-extensive Statistical Approach in High Energy Particle Collisions - Experiment vs. Theory
• Self-consistency in non-extensive thermodynamics of highly excited hadronic states
• Can Tsallis distribution fit all the particle spectra produced at RHIC and LHC?
• Systematic analysis of hadron spectra in p+p collisions using Tsallis distribution
• Nuclear Modification Factor Using Tsallis Non-extensive Statistics
• Multiplicity Dependence of Non-extensive Parameters for Strange and Multi-Strange Particles in Proton-Proton Collisions at $\sqrt{s}=7$ TeV at the LHC
• Tsallis Distribution Decorated With Log-Periodic Oscillation
• 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
• Non extensive thermodynamics and neutron star properties
• On the precise determination of the Tsallis parameters in proton - proton collisions at LHC energies
• Ideal gas provides q-entropy
• Fractal structure and non extensive statistics
• On the possibility of q-scaling in high energy production processes
• Non-extensive Statistics and Understanding Particle Production and Kinetic Freeze-out Process from $p_T$-spectra at 2.76 TeV
• Nonextensive Nambu Jona-Lasinio model of QCD matter revisited
• Analytic results for the Tsallis thermodynamic variables
• Event multiplicity, transverse momentum and energy dependence of charged particle production, and system thermodynamics in $pp$ collisions at the Large Hadron Collider
• Nonextensive statistical effects and strangeness production in hot and dense nuclear matter
• Some intriguing aspects of multiparticle production processes
• Hadron transverse momentum distributions of the Tsallis normalized and unnormalized statistics
• System size dependence of the log-periodic oscillations of transverse momentum spectra
• Consistent nonadditive approach and nuclear equation of state
• Possible Implication of a Single Nonextensive $p_T$ Distribution for Hadron Production in High-Energy $pp$ Collisions
• Quasi-power laws in multiparticle production processes
• Equivalence of the phenomenological Tsallis distribution to the transverse momentum distribution of $q$-dual statistics
• Non-extensive statistics, relativistic kinetic theory and fluid dynamics
• Elliptic Flow in Pb+Pb Collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV at the LHC Using Boltzmann Transport Equation with Non-extensive Statistics
• Centrality, transverse momentum and collision energy dependence of the Tsallis parameters in relativistic heavy-ion collisions
• Energy density at kinetic freeze-out in Pb-Pb collisions at the LHC using the Tsallis distribution
• Collective expansion in pp collisions using the Tsallis statistics
• Nonextensive Nuclear Liquid-Gas Phase Transition
• Event shape and Multiplicity dependence of Freeze-out Scenario and System Thermodynamics in Proton+Proton Collisions at $\sqrt{s}$ = 13 TeV using PYTHIA8
• Multiplicity Dependence of Shear Viscosity, Isothermal Compressibility and Speed of Sound in $pp$ collisions at $\sqrt{s}$ = 7 TeV
• Axiomatic nonextensive statistics at NICA energies
• Analysis of multiplicity dependencies of midrapidity pt distributions of identified charged particles in p+p collisions at (s)1/2=7 TeV at the LHC
• Transverse Momentum Spectra and Nuclear Modification Factor using Boltzmann Transport Equation with Flow in Pb+Pb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV
• Lattice QCD thermodynamics and RHIC-BES particle production within generic nonextensive statistics
• Phase transition for the system of small volume in the ${\varphi }^4$ theory in the Tsallis nonextensive statistics
• Bag-type Model with Fractal Structure
• Chemical freezeout parameters within generic nonextensive statistics
• Ultrarelativistic transverse momentum distribution of the Tsallis statistics
• Systematic analysis of the pp collisions at LHC energies with Tsallis function
• A Very High Momentum Particle Identification Detector
• Chiral phase transitions in the linear sigma model in the Tsallis nonextensive statistics
• Effects of the Tsallis distribution in the linear sigma model
• $J/\psi$ Production Dynamics: Event shape, Multiplicity and Rapidity dependence in Proton+Proton Collisions at LHC energies using PYTHIA8
• The Novel Scaling of Tsallis Parameters from the Transverse Momentum Spectra of Charged Particles in Heavy-Ion Collisions
• Analysis of identified particle transverse momentum spectra produced in pp, p--Pb and Pb--Pb collisions at the LHC using Tsallis--Pareto-type function
• Pseudorapidity distributions of charged particles in pp($\overline{\mathrm{p}}$), p(d)A and AA collisions using Tsallis thermodynamics
• Momentum distribution and correlation for a free scalar field in the Tsallis nonextensive statistics based on density operator
• On thermodynamic self-consistency of generic axiomatic-nonextensive statistics
• Comparison of Tsallis statistics with the Tsallis-factorized statistics in the ultrarelativistic $pp$ collisions
• Nuclear modification factor in Pb-Pb and p-Pb collisions using Boltzmann transport equation
• Generalized Nonlinear Proca Equation and its Free-Particle Solutions
• QCD equation of state with Tsallis statistics for heavy-ion collisions
• A new two-component model for hadron production in heavy-ion collisions
• Dependence of related parameters on centrality and mass in a new treatment for transverse momentum spectra in high energy collisions
• Non-extensive distributions for a relativistic Fermi Gas
• Bose-Einstein condensation of pions in proton-proton collisions at the Large Hadron Collider using non-extensive Tsallis statistics
• A 'soft+hard' model for Pion, Kaon, and Proton Spectra and $v_2$ measured in PbPb Collisions at $\sqrt{s}=2.76A$TeV
• Nonextensive hydrodynamics of boost-invariant plasmas
• Model comparison of the transverse momentum spectra of charged hadrons produced in $PbPb$ collision at $\sqrt{s_{NN}}=5.02$ TeV
• Large Transverse Momenta and Tsallis Thermodynamics
• Characterizing Proton-Proton Collisions at the Large Hadron Collider with Thermal Properties
• Fractal aspects of hadrons
• Transverse momentum spectra of strange hadrons within extensive and nonextensive statistics
• Hadron gas in the presence of a magnetic field using non-extensive statistics: A transition from diamagnetic to paramagnetic system
• Nonextensive thermodynamics with finite chemical potentials and protoneutron stars
• Hadron transverse momentum distributions in the Tsallis statistics with escort probabilities
• Deciphering QCD dynamics in small collision systems using event shape and final state multiplicity at the Large Hadron Collider
• Exploring Anisotropic flow via the Boltzmann Transport Equation Employing the Tsallis Blast Wave Description at LHC energies
• Multiplicity dependence of the freezeout parameters in high energy hadron-hadron collisions
• Role of chemical potential at kinetic freeze-out using Tsallis non-extensive statistics in proton-proton collisions at the Large Hadron Collider
• Imprints of energy limitation in transverse momentum distributions of jets
• Non-Extensive Behaviour of the QCD Strong Coupling Constant
• Momentum Distribution and Correlation due to mass difference caused by power-like distribution
• Non-extensive (3+1)-dimensional hydrodynamics for relativistic heavy-ion collisions
• Comparing the Tsallis distribution with and without thermodynamical description in p+p collisions
• Evolution of Effective Temperature, Kinetic Freeze-out Temperature and transverse flow velocity in pp Collision
• A three component model for hadron $p_{\mathrm{T}}$-spectra in pp and Pb-Pb collisions at the LHC
• An NJL model analysis of a magnetised nonextensive QCD medium
• Dynamics of particle production in Pb--Pb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV using PYTHIA8 Angantyr model
• Non-Extensive Statistics in Free-Electron Metals and Thermal Effective Mass
• Transverse momentum fluctuation under the Tsallis distribution at high energies
• Non-extensive Statistics and a Systematic Study of Meson-Spectra at LHC Energy $\sqrt{s_{NN}}=2.76$ TeV
• Non-extensive statistics in Au-Au collisions
• Analyzing the Correlation Between Thermal and Kinematic Parameters in Various Multiplicity Classes within 7 and 13 TeV pp Collisions
• Universal Freezeout Condition for Charged Hadrons in a Hybrid Approach
• Thermodynamic relations and fluctuations in the Tsallis statistics
• Rapidity dependent transverse momentum spectra of heavy quarkonia produced in small collision systems at the LHC
• Chiral phase transition in the linear sigma model within Hartree factorization in the Tsallis nonextensive statistics
• Chiral phase transition within the linear sigma model in the Tsallis nonextensive statistics based on density operator
• Systematic Properties of the Tsallis Distribution: Energy Dependence of Parameters
• Particle yields from numerical simulations
• Study of Isothermal Compressibility and Speed of Sound in the Hadronic Matter Formed in Heavy-Ion Collision using Unified Formalism
• QCD phase transition at finite temperature and chemical potential with the non-extensive statistics
• Comment on "Evaluation of kinetic freeze-out properties in different relativistic heavy-ion collision systems at \sqrtsNN = 200 GeV'' (Eur. Phys. J. Plus (2025) 140:179) https://doi.org/10.1140/epjp/s13360-025-06119-0
• Effects of Tsallis distribution on parametric resonance in chiral phase transitions
• Nonextensive statistics based on Landsberg-Vedral entropy
• Determination of the chemical potential in the Tsallis distribution at LHC energies
• Multiplicity, transverse momentum and pseudorapidity dependence of open-heavy flavored hadron production in proton+proton collisions at $\sqrt{s}$= 13 TeV using PYTHIA8
• Centrality and Transverse Spherocity dependent study of charged-particle production in Xe-Xe collisions at $\sqrt{s_{NN}}$ = 5.44 TeV using PYTHIA8 Angantyr and AMPT models
• Study of invariance of nonextensive statistics under the uniform energy spectrum translation
• Analytical calculations of the Quantum Tsallis thermodynamic variables
• Study on relativistic transformations for thermodynamic quantities: Boltzmann-Gibbs and Tsallis blast-wave models
• Probing Rotational Dynamics of Quark Gluon Plasma via Global Vorticity
• Density matrix for a consistent non-extensive thermodynamics
• The Thermal Model at the Large Hadron Collider