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The exact and approximate hadron transverse momentum distributions for the Fermi-Dirac, Bose-Einstein and Maxwell-Boltzmann statistics of particles in the framework of the Tsallis statistics with escort probabilities (the Tsallis-3…

High Energy Physics - Phenomenology · Physics 2023-11-28 A. S. Parvan

The analytical expressions for the ultrarelativistic transverse momentum distributions of the Tsallis and the Tsallis-$2$ statistics were obtained. We found that the transverse momentum distribution of the Tsallis-factorized statistics,…

High Energy Physics - Phenomenology · Physics 2017-03-16 A. S. Parvan

In the present work, we have found that the phenomenological Tsallis distribution (which nowadays is largely used to describe the transverse momentum distributions of hadrons measured in $pp$ collisions at high energies) is consistent with…

Nuclear Theory · Physics 2021-12-09 A. S. Parvan

We derive the analytical expressions for the first and second order terms in the hadronic transverse momentum spectra obtained from the Tsallis normalized (Tsallis-1) statistics. We revisit the zeroth order quantum Tsallis distributions and…

Nuclear Theory · Physics 2021-06-30 Trambak Bhattacharyya , Alexandru S. Parvan

The Bose-Einstein and Fermi-Dirac statistics of the identified hadrons were verified on the basis of the transverse momentum distributions of bosons and fermions created in the $pp$ collisions at high energies using the Tsallis-factorized…

High Energy Physics - Phenomenology · Physics 2015-02-06 A. S. Parvan

This is a concise introduction to the topic of nonextensive Tsallis statistics meant especially for those interested in its relation to high energy proton-proton, proton-nucleus, and nucleus-nucleus collisions. The three types of Tsallis…

High Energy Physics - Phenomenology · Physics 2021-10-11 Joseph I. Kapusta

The Tsallis statistics was applied to describe the experimental data on the transverse momentum distributions of hadrons. We considered the energy dependence of the parameters of the Tsallis-factorized statistics, which is now widely used…

Nuclear Theory · Physics 2017-03-16 A. S. Parvan

From the Tsallis unnormalized (or Tsallis-2) statistical mechanical formulation, B\"{u}y\"{u}kkili\c{c} {\it et al.} [Phys. Lett. A 197, 209 (1995)] derived the expressions for the single-particle distribution functions (known as the…

Statistical Mechanics · Physics 2021-12-09 A. S. Parvan , T. Bhattacharyya

We applied the Tsallis statistics with the conventional expectation value to a system of free particles, adopting the equilibrium temperature which is often called the physical temperature. The entropic parameter $q$ in the Tsallis…

Statistical Mechanics · Physics 2026-05-14 Masamichi Ishihara

We study the applications of non-extensive Tsallis statistics to high energy and hadron physics. These applications include studies of $pp$ collisions, equation of state of QCD, as well as Bose-Einstein condensation. We also analyze the…

High Energy Physics - Phenomenology · Physics 2022-01-24 Eugenio Megias , Evandro Andrade , Airton Deppman , Arnaldo Gammal , Debora P. Menezes , Tiago Nunes da Silva , Varese S. Timóteo

The Tsallis distribution has been used recently to fit the transverse momentum distributions of identified particles by the STAR and PHENIX collaborations at the Relativistic Heavy Ion Collider and by the ALICE and CMS collaborations at the…

High Energy Physics - Phenomenology · Physics 2015-05-30 J. Cleymans , D. Worku

The Tsallis distribution has been used recently to fit the transverse momentum distributions of identified particles by the STAR collaboration \cite{Abelev:2006cs} at the Relativistic Heavy Ion Collider and by the ALICE \cite{Aamodt:2011zj}…

High Energy Physics - Phenomenology · Physics 2011-06-21 J. Cleymans , D. Worku

A detailed study of the transverse momentum distributions of charged particles produced in proton - proton collisions at LHC energies is presented. This is done using a thermodynamically consistent form of the Tsallis distribution. All…

High Energy Physics - Phenomenology · Physics 2015-06-18 M. D. Azmi , J. Cleymans

Numerous papers have appeared recently showing fits to transverse momentum ($p_T$) spectra measured at the Large Hadron Collider (LHC) in proton - proton collisions.This talk focuses on the fits extending to very large values of the…

High Energy Physics - Phenomenology · Physics 2017-03-08 J. Cleymans

In Statistical Mechanics, Tsallis distributions were apparently conceived in connection with systems presenting long--range interactions. In fact, they were observed in numerical computations for models of such a type, as occurring in the…

Statistical Mechanics · Physics 2020-04-22 Andrea Carati , Luigi Galgani , Fabrizio Gangemi , Roberto Gangemi

An overview is presented of transverse momentum distributions of particles at the LHC using the Tsallis distribution. The use of a thermodynamically consistent form of this distribution leads to an excellent description of charged and…

High Energy Physics - Phenomenology · Physics 2013-10-02 M. D. Azmi , J. Cleymans

The Tsallis distribution has been used widely in high energy physics to describe the transverse momnetum distributions of particles. In this note we show that the use of a thermodynamically consistent form of this distribution leads to a…

High Energy Physics - Phenomenology · Physics 2012-10-30 J. Cleymans

We analysed the identified hadron multiplicity predictions of the modified thermodynamical model of the multiparticle production processes with non-extensive statistic. The replacement of the standard Boltzmann exponential factor by the…

High Energy Physics - Phenomenology · Physics 2015-06-15 T. Wibig

We studied the effects of the Tsallis distribution on the transverse momentum fluctuation in high energy collisions. The parton-hadron duality and the Bose-Einstein type correlation between partons were assumed. The fluctuation was…

High Energy Physics - Phenomenology · Physics 2017-12-08 Masamichi Ishihara

In high-energy collisions the number of the created particles is far less than the thermodynamic limit, especially in small colliding systems (e.g. proton-proton). Therefore final-state effects and fluctuations in the one-particle energy…

High Energy Physics - Phenomenology · Physics 2017-06-28 Gábor Bíró , Gergely Gábor Barnaföldi , Tamás Sándor Biró , Károly Ürmössy
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