Ultrarelativistic transverse momentum distribution of the Tsallis statistics

Parvan, A.S.

doi:10.1140/epja/i2017-12242-5

Cited by 22 publications

(84 citation statements)

References 31 publications

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“…[50,[59][60][61][62][63][64] for recent works on the subject); nevertheless, the debate around the thermodynamical properties of the fireball formed at high energies continues. The theory exposed here shows that different concepts such as fireballs, intermittence, hadron structure, self-similarity, thermofractal structure, and self consistence principle are braided into one single theoretical framework with only two parameters.…”

Section: Discussionmentioning

confidence: 99%

Fractal Structure of Hadrons: Experimental and Theoretical Signatures

Deppman

2017

Universe

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Abstract:One important ingredient in the study of cosmological evolution is the equation of state of the primordial matter formed in the first stages of the Universe. It is believed that the first matter produced was of hadronic nature, probably the quark-gluon plasma which has been studied in high-energy collisions. There are several experimental indications of self-similarity in hadronic systems-in particular in multiparticle production at high energies. Theoretically, this property was associated with the dynamics of particle production, but it is also possible to relate self-similarity to the hadron structure-in particular to a fractal structure of this system. In doing so, it is found that the thermodynamics of hadron systems at equilibrium must present specific properties that are indeed supported by data. In particular, the well-known self-consistence principle proposed by Hagedorn 50 years ago is shown to be valid, and can correctly describe experimental distributions, mass spectrum of observed particles, and other properties of the hadronic matter. In the present work, a review of the theoretical developments related to the thermodynamical properties of hadronic matter and its applications in other fields is presented.

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Section: Discussionmentioning

confidence: 99%

Fractal Structure of Hadrons: Experimental and Theoretical Signatures

Deppman

2017

Universe

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“…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]. Therefore, at present-day energies, α 1 shows a weak s-dependence.…”

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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“…Recently a considerable amount of work has been carried out regarding the bulk observables of ultra-relativistic heavy ion collisions, such as the transverse momentum distribution, radial flow, evolution of fluctuation, nuclear modification factor, speed of sound etc. under the Tsallis generalization of B-G statistics [44][45][46][47][48][49][50][51][52][53]62,63].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics and relativistic kinetic theory for q-generalized Bose–Einstein and Fermi–Dirac systems

Mitra¹

2018

Eur. Phys. J. C

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The thermodynamics and covariant kinetic theory are elaborately investigated in a non-extensive environment considering the non-extensive generalization of BoseEinstein (BE) and Fermi-Dirac (FD) statistics. Starting with Tsallis' entropy formula, the fundamental principles of thermostatistics are established for a grand canonical system having q-generalized BE/FD degrees of freedom. Many particle kinetic theory is set up in terms of the relativistic transport equation with q-generalized Uehling-Uhlenbeck collision term. The conservation laws are realized in terms of appropriate moments of the transport equation. The thermodynamic quantities are obtained in a weak non-extensive environment for a massive pion-nucleon and a massless quark-gluon system with non-zero baryon chemical potential. In order to get an estimate of the impact of non-extensivity on the system dynamics, the q-modified Debye mass and hence the qmodified effective coupling are estimated for a quark-gluon system.

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Ultrarelativistic transverse momentum distribution of the Tsallis statistics

Cited by 22 publications

References 31 publications

Fractal Structure of Hadrons: Experimental and Theoretical Signatures

Fractal Structure of Hadrons: Experimental and Theoretical Signatures

An approach to the leading Regge pole

Thermodynamics and relativistic kinetic theory for q-generalized Bose–Einstein and Fermi–Dirac systems

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