scholarly journals Transverse momentum fluctuation under the Tsallis distribution at high energies

2017 ◽  
Vol 26 (11) ◽  
pp. 1750071 ◽  
Author(s):  
Masamichi Ishihara
Keyword(s):  
Transverse Momentum ◽  
High Energy ◽  
Expectation Value ◽  
High Energies ◽  
Nonextensive Statistics ◽  
Wide Range ◽  
Tsallis Distribution ◽  
High Energy Collisions ◽  
Definition Of ◽  
Bose Einstein

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 calculated in the boost-invariant picture for the expectation value used in the Boltzmann–Gibbs (BG) statistics and for the expectation value used in the Tsallis nonextensive statistics. It was shown that the fluctuation is a function of [Formula: see text] which is the ratio of the inverse temperature to the correlation length. We found the following points: (1) the fluctuation depends on the form of the distribution and depends weakly on the definition of the expectation value used in the statistics, (2) the fluctuation increases as the entropic parameter value of the Tsallis distribution increases, and (3) the variation of the fluctuation as a function of the entropic parameter for the expectation value used in the BG statistics is larger than that for the expectation value used in the Tsallis nonextensive statistics in the wide range of [Formula: see text].

scholarly journals On Descriptions of Particle Transverse Momentum Spectra in High Energy Collisions

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Fu-Hu Liu ◽  
Ya-Qin Gao ◽  
Hua-Rong Wei
Keyword(s):  
Transverse Momentum ◽  
High Energy ◽  
Emission Source ◽  
Angular Distributions ◽  
Nuclear Collisions ◽  
Momentum Spectra ◽  
Transverse Momentum Spectra ◽  
Tsallis Distribution ◽  
High Energy Collisions ◽  
Bose Einstein

The transverse momentum spectra obtained in the frame of an isotropic emission source are compared in terms of Tsallis, Boltzmann, Fermi-Dirac, and Bose-Einstein distributions and the Tsallis forms of the latter three standard distributions. It is obtained that, at a given set of parameters, the standard distributions show a narrower shape than their Tsallis forms which result in wide and/or multicomponent spectra with the Tsallis distribution in between. A comparison among the temperatures obtained from the distributions is made with a possible relation to the Boltzmann temperature. An example of the angular distributions of projectile fragments in nuclear collisions is given.

scholarly journals An Analysis of Transverse Momentum Spectra of Various Jets Produced in High Energy Collisions

2021 ◽  
Vol 2021 ◽  
pp. 1-16
Author(s):  
Yang-Ming Tai ◽  
Pei-Pin Yang ◽  
Fu-Hu Liu
Keyword(s):  
Transverse Momentum ◽  
Momentum Distribution ◽  
Thermal Model ◽  
High Energy ◽  
Transverse Momentum Distribution ◽  
High Energies ◽  
Model Distribution ◽  
Momentum Spectra ◽  
Transverse Momentum Spectra ◽  
High Energy Collisions

With the framework of the multisource thermal model, we analyze the experimental transverse momentum spectra of various jets produced in different collisions at high energies. Two energy sources, a projectile participant quark and a target participant quark, are considered. Each energy source (each participant quark) is assumed to contribute to the transverse momentum distribution to be the TP-like function, i.e., a revised Tsallis–Pareto-type function. The contribution of the two participant quarks to the transverse momentum distribution is then the convolution of two TP-like functions. The model distribution can be used to fit the experimental spectra measured by different collaborations. The related parameters such as the entropy index-related, effective temperature, and revised index are then obtained. The trends of these parameters are useful to understand the characteristic of high energy collisions.

INSTANTON-INDUCED CROSS-SECTION AT HIGH ENERGIES: LEADING ORDER AND BEYOND

1990 ◽  
Vol 05 (24) ◽  
pp. 1983-1991 ◽  
Author(s):  
S. YU. KHLEBNIKOV ◽  
V. A. RUBAKOV ◽  
P. G. TINYAKOV
Keyword(s):  
Total Cross Section ◽  
Explicit Form ◽  
Cross Section ◽  
High Energy ◽  
Electroweak Theory ◽  
Leading Order ◽  
Instanton Action ◽  
High Energies ◽  
High Energy Collisions ◽  
The One

We study the total cross-section of high energy collisions in the one-instanton sector of purely bosonic theories with instantons. We find that in the limit g2 → 0, E/E sph = fixed , the leading behavior of the total cross-section is σ lot ~ exp [1/g2(−2S0 + F(E/E sph ))], where S0 is the instanton action. In the electroweak theory at E/E sph ≪ 1, the function F(E/E sph ) is determined by the gauge boson part of the instanton configuration and its explicit form is found.

scholarly journals Flow and correlation phenomena measurements in pp, pPb and PbPb collisions at CMS

2018 ◽  
Vol 172 ◽  
pp. 05005
Author(s):  
Sandra S. Padula
Keyword(s):  
Transverse Momentum ◽  
Collective Behavior ◽  
Quark Gluon Plasma ◽  
Frictional Resistance ◽  
Gluon Plasma ◽  
High Energy ◽  
Collective Flow ◽  
Particle Correlation ◽  
The Past ◽  
High Energy Collisions

The quark-gluon plasma created in high energy collisions of large nuclei exhibits strong anisotropic collective behavior as a nearly perfect fluid, flowing with little frictional resistance or viscosity. It has been investigated extensively over the past years employing two or more particle correlations. An overview of collective flow and particle correlation measurements at CMS as a function of transverse momentum, pseudorapidity, event multiplicity, for both charged hadrons or identified particles will be presented. These results are compared among pp, pPb and PbPb systems and several aspects of their intriguing similarities are discussed.

Transverse-Momentum Distributions in High-Energy Collisions

1973 ◽  
Vol 7 (1) ◽  
pp. 133-139
Author(s):  
L. M. Saunders ◽  
Davison E. Soper
Keyword(s):  
Transverse Momentum ◽  
High Energy ◽  
Momentum Distributions ◽  
High Energy Collisions

Statistical hadronization and multiplicities in high-energy hadron–nucleus collisions

2017 ◽  
Vol 26 (03) ◽  
pp. 1750006 ◽  
Author(s):  
S. Sharma ◽  
M. Kaur ◽  
S. Thakur
Keyword(s):  
Statistical Mechanics ◽  
Particle Production ◽  
High Energy ◽  
High Energies ◽  
Gamma Distributions ◽  
Charged Particle Production ◽  
Tsallis Distribution ◽  
Multiplicity Distributions ◽  
Statistical Hadronization ◽  
Energy Hadron

Concepts from statistical mechanics and ensemble theory are applied to study the characteristic properties of charged particle production in hadron–nucleus collisions at high energy. In the present study we utilize the predictions from different approaches using statistical mechanics. The Tsallis q-statistics is used to study the regularity in multiplicity distributions in hadron–nucleus collisions at high energies as one of the interesting options. Gamma distributions and a possible microcanonical generalization of Tsallis distribution have also been exploited to describe the data.

Tsallis nonextensive entropy and the multiplicity distributions in high energy leptonic collisions

2016 ◽  
Vol 25 (06) ◽  
pp. 1650041 ◽  
Author(s):  
S. Sharma ◽  
M. Kaur ◽  
Sandeep Kaur
Keyword(s):  
Experimental Data ◽  
Multiplicity Distribution ◽  
High Energy ◽  
New Approach ◽  
High Energies ◽  
Nonextensive Entropy ◽  
Tsallis Distribution ◽  
Multiplicity Distributions ◽  
Better Than

The nonextensive behavior of entropy is exploited to explain the regularity in multiplicity distributions in [Formula: see text] collisions at high energies. The experimental data are analyzed by using Tsallis [Formula: see text]-statistics. We propose a new approach of applying Tsallis [Formula: see text]-statistics, wherein the multiplicity distribution is divided into two components; two-jet and multijet components. A convoluted Tsallis distribution is fitted to the data. It is shown that this method gives the best fits which are several orders better than the conventional fit of Tsallis distribution.

scholarly journals On Particle Production in Lead-Gold Collision and Azimuthal Anisotropy at Top SPS Energy

2014 ◽  
Vol 2014 ◽  
pp. 1-5
Author(s):  
Bao-Chun Li ◽  
Zhao Zhang
Keyword(s):  
Transverse Momentum ◽  
Thermal Model ◽  
Particle Production ◽  
Elliptic Flow ◽  
High Energy ◽  
Azimuthal Anisotropy ◽  
Evolution Process ◽  
High Energy Collisions

In a multisource thermal model, we analyze the dependence of elliptic flowv2on the transverse momentumPT. The model results are compared with the data ofπ-,KS0,p, andΛmeasured in Pb + Au collisions at top SPS energy, 17.3 GeV. It is found that the azimuthal anisotropy in the evolution process of high-energy collisions is correlated highly to the number of participant nucleons.

scholarly journals Centrality, transverse momentum and collision energy dependence of the Tsallis parameters in relativistic heavy-ion collisions

2021 ◽  
Vol 136 (6) ◽  
Author(s):  
Rajendra Nath Patra ◽  
Bedangadas Mohanty ◽  
Tapan K. Nayak
Keyword(s):  
Transverse Momentum ◽  
Heavy Ion Collisions ◽  
Collision Energy ◽  
Charged Particles ◽  
Heavy Ion ◽  
High Energy ◽  
Relativistic Heavy Ion Collisions ◽  
Central Collisions ◽  
Ion Collisions ◽  
Tsallis Distribution

AbstractThe thermodynamic properties of matter created in high-energy heavy-ion collisions have been studied in the framework of the non-extensive Tsallis statistics. The transverse momentum ($$p_\mathrm{T}$$ p T ) spectra of identified charged particles (pions, kaons, protons) and all charged particles from the available experimental data of Au-Au collisions at the Relativistic Heavy Ion Collider (RHIC) energies and Pb-Pb collisions at the Large Hadron Collider (LHC) energies are fitted by the Tsallis distribution. The fit parameters, q and T, measure the degree of deviation from an equilibrium state and the effective temperature of the thermalized system, respectively. The $$p_\mathrm{T}$$ p T  spectra are well described by the Tsallis distribution function from peripheral to central collisions for the wide range of collision energies, from $$\sqrt{s_\mathrm{NN}}$$ s NN = 7.7 GeV to 5.02 TeV. The extracted Tsallis parameters are found to be dependent on the particle species, collision energy, centrality, and fitting ranges in $$p_\mathrm{T}$$ p T . For central collisions, both q and T depend strongly on the fit ranges in $$p_\mathrm{T}$$ p T . For most of the collision energies, q remains almost constant as a function of centrality, whereas T increases from peripheral to central collisions. For a given centrality, q systematically increases as a function of collision energy, whereas T has a decreasing trend. A profile plot of q and T with respect to collision energy and centrality shows an anti-correlation between the two parameters.

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