Hadron Spectra Parameters within the Non-Extensive Approach

Shen, K.; Barnaföldi, G. G.; Bı́ró, Tamás

doi:10.3390/universe5050122

Cited by 22 publications

(12 citation statements)

References 34 publications

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“…The difference of these variations have been studied in details e.g. in [113,114]. It was concluded that all versions of the Tsallis -Pareto fitting functions give a consistent result within the accuracy of the available experimental data.…”

Section: Introduction To the Non-extensive Statistical Frameworkmentioning

confidence: 92%

Tsallis-thermometer: a QGP indicator for large and small collisional systems

Bíró¹,

Barnaföldi²,

Bı́ró³

2020

J. Phys. G: Nucl. Part. Phys.

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The transverse momentum distribution of identified hadrons from recent years are analyzed within the thermodynamically consistent formulation of nonextensive statistics. A wide range of center-of-mass energies and average event multiplicities are studied for various hadron species. We demonstrate that the average event multiplicity is a key variable in the study of high-energy collisions and a smooth transition in the description from small to large systems is possible. For this purpose the non-extensive statistical approach is more than appropriate. The validity of the non-extensive description is explored in multiple ways: such as the calculation of integrated yields per unit rapidity, the analysis of radial flow and the consistency check of the thermodynamical variables. The 'Tsallis-thermometer' is introduced as an indicator of quark-gluon plasma in small collisional systems.

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Section: Introduction To the Non-extensive Statistical Frameworkmentioning

confidence: 92%

Tsallis-thermometer: a QGP indicator for large and small collisional systems

Bíró¹,

Barnaföldi²,

Bı́ró³

2020

J. Phys. G: Nucl. Part. Phys.

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“…Power-law functions are used to describe the experimental data for the transverse momentum distribution of particles produced in proton-proton and heavy-ion collisions at the LHC and RHIC energies [1,2,3,4,5,6,7,8]. Now the phenomenological transverse momentum distribution [9,10,11] inspired by the Tsallis statistics [12] has gained much attention and it is successfully used for the description of the experimental data on high-energy proton-proton reactions [13,14,15,16,17,18,19,20,21,22,23,24,25,26] and relativistic heavy-ion collisions [27,28,29,30,31,32]. However, it has some dificulties in relation to the fundamental principles of thermodynamics and statistical mechanics.…”

Section: Introductionmentioning

confidence: 99%

Hadron transverse momentum distributions of the Tsallis normalized and unnormalized statistics

Parvan

Bhattacharyya

2020

Eur. Phys. J. A

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The exact analytical formulas for the transverse momentum distributions of the Bose-Einstein, Fermi-Dirac and Maxwell-Boltzmann statistics of particles with nonzero mass in the framework of the Tsallis normalized and Tsallis unnormalized (also known as Tsallis-1 and Tsallis-2) statistics have been consistently derived. The final exact results were expressed in terms of the series expansions in the integral representation. The zeroth term approximation to both quantum and classical statistics of particles has been introduced. We have revealed that the phenomenological classical Tsallis distribution (widely used in high energy physics) is equal to the distribution of the Tsallis unnormalized statistics in the zeroth term approximation, but the phenomenological quantum Tsallis distributions (introduced by definition on the basis of the generalized entropy of the ideal gas) do not correspond to the distributions of the Tsallis statistics. We have found that in the ranges of the entropic parameter relevant to the processes of high-energy physics (q < 1 for Tsallis-1 and q > 1 for Tsallis-2) the Tsallis statistics is divergent. Therefore, to obtain physical results, we have regularized the Tsallis statistics by introducing an upper cut-off in the series expansion. The exact numerical results for the Bose-Einstein, Fermi-Dirac and Maxwell-Boltzmann statistics of particles in the Tsallis normalized and unnormalized statistics have been obtained. We observed that the exact results of the Tsallis statistics strongly enhanced the production of high-pT hadrons in comparison with the usual phenomenological Tsallis distribution function at the same values of q. The q-duality of the Tsallis normalized and unnormalized statistics for the massive particles was studied.PACS. 13.85.-t Hadron-induced high-and super-high-energy interactions -13.85.Hd Inelastic scattering: many-particle final states -24.60.-k Statistical theory and fluctuations

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“…As in refs. [56][57][58][59], in this work, we have treated p+p (p+ p) collisions as where a medium was formed, or at least there is some degree of thermalization, enough to have a temperature for the emission source. On the other hand, the temperature parameter of the emission source is a reflection of the average kinetic energy of given particles.…”

Section: Resultsmentioning

confidence: 99%

Excitation Function of Initial Temperature of Heavy Flavor Quarkonium Emission Source in High Energy Collisions

Wang

Liu

2020

Advances in High Energy Physics

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The transverse momentum spectra of J/ψ, ψ2S, and YnS,n=1,2,3 produced in proton-proton p+p, proton-antiproton p+p¯, proton-lead p+Pb, gold-gold Au+Au, and lead-lead (Pb+Pb) collisions over a wide energy range are analyzed by the (two-component) Erlang distribution, the Hagedorn function (the inverse power-law), and the Tsallis-Levy function. The initial temperature is obtained from the color string percolation model from the fit by the (two-component) Erlang distribution in the framework of a multisource thermal model. The excitation functions of several parameters such as the mean transverse momentum and initial temperature increase from 39 GeV to 13 TeV, which is considered in this work. The mean transverse momentum and initial temperature decrease (increase slightly or do not change significantly) with the increase of rapidity (centrality). Meanwhile, the mean transverse momentum of YnS,n=1,2,3 is larger than that of J/ψ and ψ2S, and the initial temperature for YnS,n=1,2,3 emission is higher than that for J/ψ and ψ2S emission, which shows a mass-dependent behavior.

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Hadron Spectra Parameters within the Non-Extensive Approach

Cited by 22 publications

References 34 publications

Tsallis-thermometer: a QGP indicator for large and small collisional systems

Tsallis-thermometer: a QGP indicator for large and small collisional systems

Hadron transverse momentum distributions of the Tsallis normalized and unnormalized statistics

Excitation Function of Initial Temperature of Heavy Flavor Quarkonium Emission Source in High Energy Collisions

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