Non-extensive statistical distributions of charmed meson production in Pb-Pb and pp($\overline{\text{p}}$) collisions

Abstract

The mid-rapidity transverse-momentum spectra of charmed meson in Pb-Pb and pp($\overline{\text{p}}$) collisions are analyzed by Tsallis-Pareto distribution derived from non-extensive statistics. We perform uniform descriptions for both small and large systems over a wide range of collision energy and hadron transverse momentum. By establishing the relation between the event multiplicity and the Tsallis parameters, we observe that there is significant linearity between thermal temperature and Tsallis-q parameter in Pb-Pb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV and 5.02 TeV. And the slope of the T $-$ (q - 1) parameter is positively correlated with the hadron mass. In addition, the charm mesons have higher thermal temperature than the light hadrons at the same q - 1, indicating that charmed flavor requires a higher temperature to achieve the same degree of non-extensive as light flavors in the heavy-ion collision. The same fit is performed to the transverse momentum spectra of charmed meson in pp($\overline{\text{p}}$) collision over a large energy range with Tsallis-Pareto distribution. It is found that the thermal temperature increases with system energy while the q parameter shows a saturated trend and stops at pp($\overline{\text{p}}$) limit, q - 1 = 0.142 $\pm$ 0.010. Meanwhile, the results of most peripheral Pb-Pb collisions are found to approach the pp($\overline{\text{p}}$) limit, which suggests that less medium effect and more in similarity with pp($\overline{\text{p}}$) collisions are found in more peripheral heavy-ion collisions.

arXiv comment8 pages, 6 captioned figures, 2 tables

References in corpus (46)

• Experimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions
• Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration
• The equation of state in (2+1)-flavor QCD
• Thermal phenomenology of hadrons from 200 AGeV S+S collisions
• Observation of Long-Range Near-Side Angular Correlations in Proton-Proton Collisions at the LHC
• Long-range angular correlations on the near and away side in p-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV
• How Much do Heavy Quarks Thermalize in a Heavy Ion Collision?
• Interpretation of the nonextensitivity parameter $q$ in some applications of Tsallis statistics and Lévy distributions
• Enhanced production of multi-strange hadrons in high-multiplicity proton-proton collisions
• Centrality dependence of $\pi$, K, p production in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Observation of Associated Near-side and Away-side Long-range Correlations in sqrt(s_NN)=5.02 TeV Proton-lead Collisions with the ATLAS Detector
• 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
• QCD Predictions for Charm and Bottom Production at RHIC
• Regularity Properties and Pathologies of Position-Space Renormalization-Group Transformations
• Charged-particle multiplicity measurement in proton-proton collisions at $\sqrt{s}$ = 7 TeV with ALICE at LHC
• Production of charged pions, kaons and (anti-)protons in Pb-Pb and inelastic pp collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV
• Spectra and radial flow at RHIC with Tsallis statistics in a Blast-Wave description
• Identified charged hadron production in p+p collisions at sqrt(s)=200 and 62.4 GeV
• Observation of $D^0$ meson nuclear modifications in Au+Au collisions at $\sqrt{s_{{}_{\mathrm{NN}}}}$ = 200 GeV
• Measurement of Prompt Charm Meson Production Cross Sections in p anti-p Collisions at s**(1/2) = 1.96 TeV
• Power laws in elementary and heavy-ion collisions - A story of fluctuations and nonextensivity?
• Transverse momentum dependence of D-meson production in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=2.76$ TeV
• Measurement of $D^0$ azimuthal anisotropy at mid-rapidity in Au+Au collisions at \sNN = 200\,GeV
• Measurements of $D^0$ and $D^{\ast }$ Production in $p$ + $p$ Collisions at $\sqrt{s}$ = 200 GeV
• Measurement of charm production at central rapidity in proton-proton collisions at $\sqrt{s}=7$ TeV
• Non-extensive statistics, fluctuations and correlations in high energy nuclear collisions
• Centrality and transverse momentum dependence of $D^0$-meson production at mid-rapidity in Au+Au collisions at $\sqrt{s_{\mathrm{NN}}}=200\mathrm{GeV}$
• Measurement of D${}^0$, D${}^{+}$, D${}^{\ast +}$ and D${}_{\mathrm{s}}^{+}$ production in Pb-Pb collisions at $\sqrt{{\mathbf{s}}_{\mathrm{NN}}}=5.02$ TeV
• Open Charm as a Probe of Pre-Equilibrium Dynamics in Nuclear Collisions?
• Charged hadron multiplicity fluctuations in Au+Au and Cu+Cu collisions from sqrt(s_NN) = 22.5 to 200 GeV
• Consequences of temperature fluctuations in observables measured in high energy collisions
• An experimental review of open heavy flavor and quarkonium production at RHIC
• Kinetic freeze-out temperature and flow velocity extracted from transverse momentum spectra of final-state light flavor particles produced in collisions at RHIC and LHC
• Quantum Statistical Correlations for Slowly Expanding Systems
• Statistical Power Law due to Reservoir Fluctuations and the Universal Thermostat Independence Principle
• Observables and initial conditions for self-similar ellipsoidal flows
• Effective (kinetic freeze-out) temperature, transverse flow velocity and kinetic freeze-out volume in high energy collisions
• Application of the Non-extensive Statistical Approach to High Energy Particle Collisions
• Quantum-Statistical Correlations and Single Particle Distributions for Slowly Expanding Systems with Temperature Profile
• Exploring $J/\psi$ production mechanism at the future Electron-Ion Collider
• Modification of jet structure in high-multiplicity pp collisions due to multiple-parton interactions and observing a multiplicity-independent characteristic jet size
• Critical temperature of deconfinement in a constrained space using a bag model at vanishing baryon density
• Nuclear and Quark Matter at High Temperature
• Near and Far from Equilibrium Power-Law Statistics
• Study of a background reconstruction method for the measurement of D-meson azimuthal angular correlations

Cited by in corpus (4)

• Specific heat and its high-order moments in relativistic heavy-ion collisions from a multiphase transport model
• Multi-source thermal model describing multi-region structure of transverse momentum spectra of identified particles and parameter dynamics of system evolution in relativistic collisions
• Scale dependence of the q and T parameters of the Tsallis distribution in the process of jet fragmentation
• Random statistical analysis of transverse momentum spectra of strange particles and dependence of related parameters on centrality in high energy collisions at the LHC