Non-extensivity of hadronic systems

Abstract

The predictions from a non-extensive self-consistent theory recently proposed are investigated. Transverse momentum ($p_T$) distribution for several hadrons obtained in $p+p$ collisions are analyzed to verify if there are evidence for a limiting effective temperature and a limiting entropic factor. In addition, the hadron-mass spectrum proposed in that theory is confronted with available data. It turns out that all $p_T$-distributions and the mass spectrum obtained in the theory are in good agreement with experiment with constant effective temperature and constant entropic factor. The results confirm that the non-extensive statistics plays an important role in the description of the termodynamics of hadronic systems, and also that the self-consistent principle holds for energies as high as those achieved in the LHC. A discussion on the best $p_T$-distirbution formula for fitting experimental data is presented.

8 pages, 3 figures. Wrong value for q rectified. Changes in key points of the text, which now states more clearly the objectives and the conclusions. New references added, references 28 and 29 were modified

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Cited by in corpus (36)

• 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
• Thermodynamics with fractal structure, Tsallis statistics and hadrons
• Fractals, non-extensive statistics and QCD
• Role of dimensionality in complex networks: Connection with nonextensive statistics
• Tsallis Distribution Decorated With Log-Periodic Oscillation
• Quark matter revisited with non extensive MIT bag model
• Non extensive thermodynamics and neutron star properties
• Sensitivity to initial conditions of a $d$-dimensional long-range-interacting quartic Fermi-Pasta-Ulam model: Universal scaling
• Fractal structure and non extensive statistics
• 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
• Some intriguing aspects of multiparticle production processes
• Hadron transverse momentum distributions of the Tsallis normalized and unnormalized statistics
• Equivalence of the phenomenological Tsallis distribution to the transverse momentum distribution of $q$-dual statistics
• Quasi-power laws in multiparticle production processes
• Statistical characterization of the standard map
• Generalization of the possible algebraic basis of $q$-triplets
• Approach of complexity in nature: Entropic nonuniqueness
• Role of dimensionality in preferential attachment growth in the Bianconi-Barabási model
• Bag-type Model with Fractal Structure
• Ultrarelativistic transverse momentum distribution of the Tsallis statistics
• Comparative study of the heavy-quark dynamics with the Fokker-Planck Equation and the Plastino-Plastino Equation
• Description of Charged Particle Pseudorapidity Distributions in Pb+Pb Collisions with Tsallis Thermodynamics
• Generalized Nonlinear Proca Equation and its Free-Particle Solutions
• QCD equation of state with Tsallis statistics for heavy-ion collisions
• Universal properties of primary and secondary cosmic ray energy spectra
• Fractal aspects of hadrons
• Hadron transverse momentum distributions in the Tsallis statistics with escort probabilities
• Non-Extensive Behaviour of the QCD Strong Coupling Constant
• Non-extensive Statistics and a Systematic Study of Meson-Spectra at LHC Energy $\sqrt{s_{NN}}=2.76$ TeV
• Systematic Properties of the Tsallis Distribution: Energy Dependence of Parameters
• An introduction to nonadditive entropies and a thermostatistical approach of inanimate and living matter
• Nonextensive statistics based on Landsberg-Vedral entropy
• Non-Extensive Transverse Momentum Distribution For Identified Particles at $\sqrt{S_{NN}}=$ 7.7, 11.5, 19.6, 27, 39 \hspace{0.05cm} GeV
• Gauge fields renormalization groups and thermofractals