Tsallis statistics approach to the transverse momentum distributions in p–p collisions

Rybczyński, M.; Włodarczyk, Z.

doi:10.1140/epjc/s10052-014-2785-7

Cited by 72 publications

(68 citation statements)

References 30 publications

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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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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 ratio s/s c can be written in a more general formulation as (s/s c ) α1 , where α 1 can depend on the particle species and the collision type, for example. Currently, the information about the entropic index w(s) = (s/s c ) α1 is limited to negative charged pions in proton-proton collisions, stating α 1 = 0.007 [51]. On the other hand, there are studies in particle production processes indicating the rise of w(s) with the collision energy [51][52][53][54].…”

Section: Tsallis Entropy and The Regge Polementioning

confidence: 99%

An approach to the leading Regge pole

Campos¹

2020

Phys. Scr.

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Neglecting spin effects, one introduces here a subtle approximation for the scattering angle, which allows the obtaining of a logarithmic leading Regge pole, consistent with the Froissart-Martin bound. A simple parameterization is also introduced for the proton-proton total cross section. Fitting procedures are implemented only for the highest energy experimental data available. The intercept for a linear approach is obtained, indicating the presence of a soft pomeron. The Tsallis entropy in the impact parameter space is calculated using the Regge pole formalism. This entropy depends on a free parameter, whose value implies the existence of a central or non-central maximum value for the entropy. The hollowness effect is discussed in terms of this parameter. * Electronic address: sergiodc@ufscar.br

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“…Integrating the above expression over the rapidity variable leads to the equivalent form first derived in [18] …”

Section: Transverse Momentum Distributionsmentioning

confidence: 99%

The Parameters of The Tsallis Distribution at the LHC

et al. 2017

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Abstract. This talk focuses on fits, using the Tsallis distribution, extending to very large values of the transverse momentum of charged particles in p-p collisions and on the energy dependence of the parameters. A thermodynamically consistent form of the distribution is used for fitting the transverse momentum spectra at mid-rapidity. The fits based on the proposed distribution provide a very good description over 14 orders of magnitude. The parameters obtained show a smooth increase in the value of q and a corresponding smooth decrease in the value of T with increasing beam energy.

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Tsallis statistics approach to the transverse momentum distributions in p–p collisions

Cited by 72 publications

References 30 publications

Hadron transverse momentum distributions of the Tsallis normalized and unnormalized statistics

Hadron transverse momentum distributions of the Tsallis normalized and unnormalized statistics

An approach to the leading Regge pole

The Parameters of The Tsallis Distribution at the LHC

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