Using the Tsallis distribution for hadron spectra in $pp$ collisions: Pions and quarkonia at $\sqrt{s}$ = 5--13000 GeV

Abstract

A thermal model, based on the Tsallis distribution and blast-wave model, is proposed to compute hadron double-differential spectra $d^{2}N/d{p}_{T}dy$ in $pp$ (also high energy $p\overline{p}$) collisions. It successfully describes the available experimental data on pion and quarkonia ($\varphi$, $J/\psi$, $\psi (2S)$, ${\rm Y}$ family) production at energies from $\sqrt{s}=5$ GeV to the LHC ones. Simple parametrizations for the $\sqrt{s}$ dependence of the model parameters are provided allowing predictions for the yields of these particles at new collision energies. The model can be used also for the pion Bose-Einstein correlation studies.

arXiv comment15 pages, 20 figures

References in corpus (112)

• Thermal phenomenology of hadrons from 200 AGeV S+S collisions
• Systematic Measurements of Identified Particle Spectra in pp, d+Au and Au+Au Collisions from STAR
• Hadron production in central nucleus-nucleus collisions at chemical freeze-out
• Measurement of the J/Psi Meson and b-Hadron Production Cross Sections in ppbar Collisions at sqrt s = 1960 GeV
• Interpretation of the nonextensitivity parameter $q$ in some applications of Tsallis statistics and Lévy distributions
• Centrality dependence of $\pi$, K, p production in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Comparison of Chemical Freeze-Out Criteria in Heavy-Ion Collisions
• Thermal Equilibration and Expansion in Nucleus-Nucleus Collision at the AGS
• 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
• Multiplicity Dependence of Pion, Kaon, Proton and Lambda Production in p-Pb Collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV
• Energy and system size dependence of chemical freeze-out in relativistic nuclear collisions
• Measurements of Strange Particle Production in $p+p$ Collisions at $\sqrt{s}$= 200 GeV
• Chemical and Thermal Freeze-Out Parameters from 1 to 200 A.GeV
• Measurement of J/psi production in pp collisions at sqrt(s)=7 TeV
• Production of pions, kaons and protons in pp collisions at $\sqrt{s}=900$ GeV with ALICE at the LHC
• THERMUS -- A Thermal Model Package for ROOT
• Suppression of non-prompt J/psi, prompt J/psi, and Y(1S) in PbPb collisions at sqrt(sNN) = 2.76 TeV
• Identified hadron spectra at large transverse momentum in p+p and d+Au collisions at \sqrts_NN = 200 GeV
• Production of charged pions, kaons and protons at large transverse momenta in pp and Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• 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
• Spectra and radial flow at RHIC with Tsallis statistics in a Blast-Wave description
• A nonextensive thermodynamical equilibrium approach in $e^{+}{e}^{-}\to hadrons$
• Measurement of neutral mesons in p+p collisions at sqrt(s) = 200 GeV and scaling properties of hadron production
• Charged Meson Rapidity Distributions in central Au+Au Collisions at sqrt(s_nn) = 200 GeV
• Identified charged hadron production in p+p collisions at sqrt(s)=200 and 62.4 GeV
• Inclusive cross section and double helicity asymmetry for π^0 production in p+p collisions at sqrt(s)=200 GeV: Implications for the polarized gluon distribution in the proton
• Description of the RHIC p_T-spectra in a thermal model with expansion
• Measurement of the differential cross-sections of inclusive, prompt and non-prompt J/psi production in proton-proton collisions at sqrt(s) = 7 TeV
• Strange particle production in proton-proton collisions at $\sqrt{s}=0.9$ TeV with ALICE at the LHC
• Prompt and non-prompt J/psi production in pp collisions at sqrt(s) = 7 TeV
• Non-Extensive Approach to Quark Matter
• Systematic properties of the Tsallis Distribution: Energy Dependence of Parameters in High-Energy p-p Collisions
• Measurement of pion, kaon and proton production in proton-proton collisions at $\sqrt{s}=7$ TeV
• Power laws in elementary and heavy-ion collisions - A story of fluctuations and nonextensivity?
• THERMINATOR 2: THERMal heavy IoN generATOR 2
• 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
• Rapidity and transverse momentum dependence of inclusive J/$\psi$ production in pp collisions at $\sqrt{s}=7$ TeV
• Measurement of $J/\psi$ polarization in $pp$ collisions at $\sqrt{s}=7$ TeV
• 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
• Production of K${}^{\ast }$(892)${}^0$ and $\varphi$(1020) in pp collisions at $\sqrt{s}=7$ TeV
• Description of High-Energy pp Collisions Using Tsallis Thermodynamics: Transverse Momentum and Rapidity Distributions
• Statistical hadronisation model and transverse momentum spectra of hadrons in high energy collisions
• Inclusive production of charged pions in p+p collisions at 158 GeV/c beam momentum
• J/psi and psi(2S) production in pp collisions at sqrt(s) = 7 TeV
• Inclusive J/psi production in pp collisions at sqrt(s) = 2.76 TeV
• Inclusive cross section and double helicity asymmetry for pi^0 production in p+p collisions at sqrt(s) = 62.4 GeV
• Suppression of Upsilon Production in d+Au and Au+Au Collisions at sqrt(s_NN) = 200 GeV
• Ground and excited charmonium state production in p+p collisions at sqrt(s)=200 GeV
• J/$\psi$ production at high transverse momenta in p+p and Au+Au collisions at sqrt(s_{NN}) = 200 GeV
• Measurement of Upsilon production in 7 TeV pp collisions at ATLAS
• Measurement of negatively charged pion spectra in inelastic p+p interactions at $p_{lab}$ = 20, 31, 40, 80 and 158 GeV/c
• Measurement of Upsilon production in pp collisions at \sqrt{s} = 7 TeV
• Measurement of forward $J/\psi$ production cross-sections in $pp$ collisions at $\sqrt{s}=13$ TeV
• Measurement of prompt J/psi and beauty hadron production cross sections at mid-rapidity in pp collisions at sqrt(s) = 7 TeV
• Production of J/psi and Upsilon mesons in pp collisions at sqrt(s) = 8 TeV
• A Fast Hadron Freeze-out Generator
• Superstatistics in high energy physics: Application to cosmic ray energy spectra and e+e- annihilation
• Transverse Momentum Distributions in proton - proton Collisions at LHC Energies and Tsallis Thermodynamics
• Production of Mesons and Baryons at High Rapidity and High Pt in Proton-Proton Collisions at sqrt(s) = 200 GeV
• Measurement of the differential cross-sections of prompt and non-prompt production of $J/\psi$ and $\psi (2\mathrm{S})$ in $pp$ collisions at $\sqrt{s}=7$ and $8$ TeV with the ATLAS detector
• Multiplicity fluctuations due to the temperature fluctuations in high-energy nuclear collisions
• Tsallis Fits to p_T Spectra for pp Collisions at LHC
• Systematic analysis of pT -distributions in p + p collisions
• Thermodynamic Consistency of the $q$-Deformed Fermi-Dirac Distribution in Nonextensive Thermostatics
• Measurement of J/psi and psi(2S) prompt double-differential cross sections in pp collisions at sqrt(s) = 7 TeV
• Tsallis statistics approach to the transverse momentum distributions in p-p collisions
• Inclusive production of charged kaons in p+p collisions at 158 GeV/c beam momentum and a new evaluation of the energy dependence of kaon production up to collider energies
• Measurement of the Y(1S), Y(2S), and Y(3S) cross sections in pp collisions at sqrt(s) = 7 TeV
• The Tsallis Distribution at Large Transverse Momenta
• Melting Hadrons, Boiling Quarks
• Systematic Analysis of the Non-extensive Statistical Approach in High Energy Particle Collisions - Experiment vs. Theory
• Measurement of ${\rm Y}$(1S+2S+3S) production in $p$$+$$p$ and Au$+$Au collisions at $\sqrt{s_{{}_{NN}}}=200$ GeV
• Inclusive cross section and double-helicity asymmetry for ${\pi }^0$ production at midrapidity in $p$$+$$p$ collisions at $\sqrt{s}=510$ GeV
• Production of psi(2S) Mesons in ppbar Collisions at 1.96 TeV
• SHARE with CHARM
• Measurement of J/psi production in pp collisions at sqrt(s)=2.76 TeV
• Systematic analysis of hadron spectra in p+p collisions using Tsallis distribution
• Light vector meson production in pp collisions at $\sqrt{s}$ = 7 TeV
• Measurement of inclusive differential cross sections for Upsilon(1S) production in p-pbar collisions at sqrt(s) = 1.96 TeV
• Longitudinal double-spin asymmetry and cross section for inclusive neutral pion production at midrapidity in polarized proton collisions at sqrt(s) = 200 GeV
• Forward production of ${\rm Y}$ mesons in $pp$ collisions at $\sqrt{s}=7$ and 8TeV
• Inclusive quarkonium production at forward rapidity in pp collisions at $\sqrt{s}=8$ TeV
• Neutral pion cross section and spin asymmetries at intermediate pseudorapidity in polarized proton collisions at sqrt{s} = 200 GeV
• Reconstruction of Hadronization Stage in Pb+Pb Collisions at 158A GeV/c
• Measurements of the Upsilon(1S), Upsilon(2S), and Upsilon(3S) differential cross sections in pp collisions at sqrt(s) = 7 TeV
• Small Angle J/Psi Production in ppbar Collisions at sqrt(s)=1.8TeV
• Tsallis distribution with complex nonextensivity parameter q
• Measurement of the production cross-section of $\psi (2S)\to J/\psi (\to {\mu }^{+}{\mu }^{-}){\pi }^{+}{\pi }^{-}$ in $pp$ collisions at $\sqrt{s}=7$ TeV at ATLAS
• Strange Messages: Chemical and Thermal Freeze-out in Nuclear Collisions
• Measurement of Upsilon production in pp collisions at sqrt{s}=2.76 TeV
• Quasi-power law ensembles
• Nonextensive methods in turbulence and particle physics
• Upsilon (1S+2S+3S) production in d+Au and p+p collisions at sqrt(s_NN)=200 GeV and cold-nuclear matter effects
• Measurement of the inclusive phi cross-section in pp collisions at sqrt(s) = 7 TeV
• Measurement of Upsilon Production for p+p and p+d Interactions at 800 GeV
• DRAGON: Monte Carlo generator of particle production from a fragmented fireball in ultrarelativistic nuclear collisions
• Indication of transverse radial flow in high-multiplicity proton-proton collisions at the Large Hadron Collider
• Particle production in relativistic $pp$($\overline{p}$) and $AA$ collisions at RHIC and LHC energies with Tsallis statistics using the two-cylindrical multisource thermal model
• Kinetic Freeze-out and Radial Flow in 11.6 A GeV Au+Au Collisions
• System size dependence of the log-periodic oscillations of transverse momentum spectra
• A study on analytic parametrizations for proton-proton cross-sections and asymptotia
• $\varphi$-meson production at forward rapidity in p-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV and in pp collisions at $\sqrt{s}$ = 2.76 TeV
• Systematic analysis of transverse momentum distribution and non-extensive thermodynamics theory
• Single-freeze-out model for ultra relativistic heavy-ion collisions at $\sqrt{s_{\mathrm{NN}}}=2.76$ TeV and the LHC proton puzzle
• Blast-wave model description of the Hanbury-Brown--Twiss radii in pp collisions at LHC energies
• Bose-Einstein correlations and thermal cluster formation in high-energy collisions
• A `soft + hard' model for heavy-ion collisions
• Production of kshort, kstar(892)and phi(1020) in minimum bias events and kshort and lambda in jets in pbar p collisions at sqrt(s)=1.96 TeV

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• Can Transverse Mass Scaling Shed Light on the Event-Activity Dependence of ${\rm Y}$ Mesons Production at LHC?
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• Simplified calculations of plasma oscillations with non-extensive statistics
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