On the precise determination of the Tsallis parameters in proton–proton collisions at LHC energies

Bhattacharyya, Trambak; Cleymans, J.; Marques, Lucas Murrins; Mogliacci, Sylvain; Paradza, Masimba

doi:10.1088/1361-6471/aaaea0

Cited by 41 publications

(53 citation statements)

References 58 publications

(138 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…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

View full text Add to dashboard Cite

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

show abstract

Section: Introductionmentioning

confidence: 99%

Hadron transverse momentum distributions of the Tsallis normalized and unnormalized statistics

Parvan

Bhattacharyya

2020

Eur. Phys. J. A

View full text Add to dashboard Cite

show abstract

“…The transverse momentum (p T ) distribution of identified hadrons stemming from high-energy proton-proton, proton-nucleus, and nucleus-nucleus collisions is one of the most fundamental observables in high-energy physics. In recent years, the Tsallis-Pareto-like distributions, motivated from non-extensive statistical physics, have received close attention because their applicability in this field [1][2][3][4][5][6][7]. With the appearance of high precision experimental data spanning from low-to high-p T , neither the thermal models with a bare Boltzmann-Gibbs exponential distribution nor perturbative Quantum Chromodynamics (pQCD)-motivated power-law distributions are able to describe the whole spectrum.…”

Section: Introductionmentioning

confidence: 99%

“…With the appearance of high precision experimental data spanning from low-to high-p T , neither the thermal models with a bare Boltzmann-Gibbs exponential distribution nor perturbative Quantum Chromodynamics (pQCD)-motivated power-law distributions are able to describe the whole spectrum. On the other hand, the Tsallis-Pareto distributions combine these two regions perfectly (see, e.g., [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] and references therein). During the investigation of the parameters, we showed that they possess non-trivial relations such as mass-and energy scaling [1,8].…”

Section: Introductionmentioning

confidence: 99%

Multiplicity Dependence in the Non-Extensive Hadronization Model Calculated by the HIJING++ Framework

et al. 2019

View full text Add to dashboard Cite

The non-extensive statistical description of the identified final state particles measured in high energy collisions is well-known by its wide range of applicability. However, there are many open questions that need to be answered, including but not limited to, the question of the observed mass scaling of massive hadrons or the size and multiplicity dependence of the model parameters. This latter is especially relevant, since currently the amount of available experimental data with high multiplicity at small systems is very limited. This contribution has two main goals: On the one hand we provide a status report of the ongoing tuning of the soon-to-be-released HIJING++ Monte Carlo event generator. On the other hand, the role of multiplicity dependence of the parameters in the non-extensive hadronization model is investigated with HIJING++ calculations. We present cross-check comparisons of HIJING++ with existing experimental data to verify its validity in our range of interest as well as calculations at high-multiplicity regions where we have insufficient experimental data.

show abstract

“…Power-like distributions have been used to describe momentum distributions in high energy collisions. Many researchers have studied momentum distributions, and have used Tsallis-type distributions [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]. It has been reported that Tsallis-type distributions describe well momentum distributions.…”

Section: Introductionmentioning

confidence: 99%

Chiral phase transition within the linear sigma model in the Tsallis nonextensive statistics based on density operator

Ishihara

2019

Int. J. Mod. Phys. E

View full text Add to dashboard Cite

We studied chiral phase transition in the linear sigma model within the Tsallis nonextensive statistics in the case of small deviation from the Boltzmann-Gibbs (BG) statistics. The statistics has two parameters: the temperature T and the entropic parameter q. The normalized q-expectation value and the physical temperature T ph were employed in this study. The normalized q-expectation value was expanded as a series of the value (1 − q), where the absolute value |1 − q| is the measure of the deviation from the BG statistics. We applied the Hartree factorization and the free particle approximation, and obtained the equations for the condensate, the sigma mass, and the pion mass. The physical temperature dependences of these quantities were obtained numerically. We found following facts. The condensate at q is smaller than that at q ′ for q > q ′ . The sigma mass at q is lighter than that at q ′ for q > q ′ at low physical temperature, and the sigma mass at q is heavier than that at q ′ for q > q ′ at high physical temperature. The pion mass at q is heavier than that at q ′ for q > q ′ . The difference between the pion masses at different values of q is small for T ph ≤ 200 MeV. That is to say, the condensate and the sigma mass are affected by the Tsallis nonextensive statistics of small |1 − q|, and the pion mass is also affected by the statistics of small |1 − q| except for T ph ≤ 200 MeV.

show abstract

On the precise determination of the Tsallis parameters in proton–proton collisions at LHC energies

Cited by 41 publications

References 58 publications

Hadron transverse momentum distributions of the Tsallis normalized and unnormalized statistics

Hadron transverse momentum distributions of the Tsallis normalized and unnormalized statistics

Multiplicity Dependence in the Non-Extensive Hadronization Model Calculated by the HIJING++ Framework

Chiral phase transition within the linear sigma model in the Tsallis nonextensive statistics based on density operator

Contact Info

Product

Resources

About