scholarly journals Intermittency Study of Charged Particles Generated in Pb-Pb Collisions at sNN=2.76 TeV Using EPOS3

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Ramni Gupta ◽  
Salman Khurshid Malik
Keyword(s):  
Landau Theory ◽  
Fractal Dimensions ◽  
Particle Multiplicity ◽  
Charged Particle Multiplicity ◽  
Scaling Exponent ◽  
Ginzburg Landau ◽  
Factorial Moments ◽  
Particle Generation ◽  
The Moment ◽  
Multifractal Nature

Charged particle multiplicity fluctuations in Pb-Pb collisions are studied for the central events generated using EPOS3 (hydro and hydro+cascade) at sNN=2.76 TeV. Intermittency analysis is performed in the midrapidity region in two-dimensional (η, ϕ) phase space within the narrow transverse momentum (pT) bins in the low pT region (pT≤1.0 GeV/c). Power-law scaling of the normalized factorial moments with the number of bins is not observed to be significant in any of the pT bins. Scaling exponent ν, deduced for a few pT bins, is greater than that of the value 1.304, predicted for the second-order phase transition by the Ginzburg-Landau theory. The link in the notions of fractality is also studied. Generalized fractal dimensions, Dq, are observed to decrease with the order of the moment q suggesting the multifractal nature of the particle generation in EPOS3.

scholarly journals Charged-Particle Multiplicity Moments as Described by Shifted Gompertz Distribution in e+e−, pp¯, and pp Collisions at High Energies

2020 ◽  
Vol 2020 ◽  
pp. 1-24
Author(s):  
Aayushi Singla ◽  
M. Kaur
Keyword(s):  
Charged Particle ◽  
Phase Space ◽  
Center Of Mass ◽  
Particle Multiplicity ◽  
Charged Particle Multiplicity ◽  
Distribution Analysis ◽  
Factorial Moments ◽  
Hadronic Interactions ◽  
Gompertz Distribution ◽  
Full Phase Space

In continuation of our earlier work, in which we analysed the charged particle multiplicities in leptonic and hadronic interactions at different center-of-mass energies in full phase space as well as in restricted phase space using the shifted Gompertz distribution, a detailed analysis of the normalized moments and normalized factorial moments is reported here. A two-component model in which a probability distribution function is obtained from the superposition of two shifted Gompertz distributions, as introduced in our earlier work, has also been used for the analysis. This is the first analysis of the moments with the shifted Gompertz distribution. Analysis has also been performed to predict the moments of multiplicity distribution for the e+e− collisions at s=500 GeV at a future collider.

scholarly journals Statistical Scrutiny of Particle Spectra in ep Collisions

Physics ◽  
2021 ◽  
Vol 3 (3) ◽  
pp. 757-780
Author(s):  
Ritu Aggarwal ◽  
Manjit Kaur
Keyword(s):  
Particle Multiplicity ◽  
Charged Particle Multiplicity ◽  
Statistical Distributions ◽  
Centre Of Mass ◽  
Mass Energy ◽  
Oscillatory Behaviour ◽  
Factorial Moments ◽  
Particle Spectra ◽  
Multiplicity Distributions ◽  
Counting Statistics

Charged particle multiplicity distributions in positron–proton deep inelastic scattering at a centre-of-mass energy s = 300 GeV, measured in the hadronic centre-of-mass frames and in different pseudorapidity windows are studied in the framework of two statistical distributions, the shifted Gompertz distribution and the Weibull distribution. Normalised moments, normalised factorial moments and the H-moments of the multiplicity distributions are determined. The phenomenon of oscillatory behaviour of the counting statistics and the Koba-Nielsen-Olesen (KNO) scaling behaviour are investigated. This is the first such analysis using these data. In addition, projections of the two distributions for the expected average charged multiplicities obtainable at the proposed future ep colliders.

INTERMITTENCY IN 4.5A AND 14.5A GeV/c28Si-NUCLEUS INTERACTIONS

2002 ◽  
Vol 11 (02) ◽  
pp. 131-141 ◽  
Author(s):  
W. BARI ◽  
N. AHMAD ◽  
M. M. KHAN ◽  
SHAKEEL AHMAD ◽  
M. ZAFAR ◽  
...  
Keyword(s):  
Factorial Moment ◽  
Fractal Dimensions ◽  
Fractal Nature ◽  
Factorial Moments ◽  
Linear Behavior ◽  
Rapidity Interval ◽  
Thermal Phase Transition ◽  
Thermal Phase ◽  
The Moment ◽  
Scaled Factorial Moments

The occurrence of intermittent patterns in 14.5 A GeV/c 28 Si -nucleus interactions is examined in terms of Scaled Factorial Moments (SFMs), introduced by Bialas and Peschanski. Further, to examine the dependence of various interesting characteristics of SFMs on incident energy, the data on 4.5 A GeV/c 28 Si -nucleus collisions available in our laboratory are analyzed. Interestingly, log-log plots between rapidity interval δη and the qth order factorial moment Fq for both the energies exhibit linear behavior indicating thereby the presence of intermittency in the interactions investigated. Moreover, to look at the fractal nature of the particle emitting sources, variation of the fractal dimensions, dq with the order of the moment is investigated. Finally, study of the variation of λq [=(ϕq+1)/q)] with the order of the moment, q indicates a possibility of non-thermal phase transition in certain types of events

scholarly journals Multifractal Analysis of Charged Particle Multiplicity Distribution in the Framework of Renyi Entropy

2018 ◽  
Vol 2018 ◽  
pp. 1-15 ◽  
Author(s):  
Swarnapratim Bhattacharyya ◽  
Maria Haiduc ◽  
Alina Tania Neagu ◽  
Elena Firu
Keyword(s):  
Specific Heat ◽  
Landau Theory ◽  
Relativistic Quantum ◽  
High Energy ◽  
Multiparticle Production ◽  
Renyi Entropy ◽  
Rényi Entropy ◽  
Particle Multiplicity ◽  
Charged Particle Multiplicity ◽  
Quantum Molecular Dynamics

A study of multifractality and multifractal specific heat has been carried out for the produced shower particles in nuclear emulsion detector for 16O-AgBr, 28Si-AgBr, and 32S-AgBr interactions at 4.5AGeV/c in the framework of Renyi entropy. Experimental results have been compared with the prediction of Ultra-Relativistic Quantum Molecular Dynamics (UrQMD) model. Our analysis reveals the presence of multifractality in the multiparticle production process in high energy nucleus-nucleus interactions. Degree of multifractality is found to be higher for the experimental data and it increases with the increase of projectile mass. The investigation of quark-hadron phase transition in the multiparticle production in 16O-AgBr, 28Si-AgBr, and 32S-AgBr interactions at 4.5 AGeV/c in the framework of Ginzburg-Landau theory from the concept of multifractality has also been presented. Evidence of constant multifractal specific heat has been obtained for both experimental and UrQMD simulated data.

NEGATIVE BINOMIAL FITS TO MULTIPLICITY DISTRIBUTIONS FROM CENTRAL 16O+Cu COLLISIONS AT 14.6 A GeV/c AND THEIR IMPLICATION FOR “INTERMITTENCY”

1994 ◽  
Vol 09 (02) ◽  
pp. 89-100 ◽  
Author(s):  
M.J. TANNENBAUM
Keyword(s):  
Transverse Energy ◽  
Negative Binomial ◽  
Heavy Ion ◽  
Linear Increase ◽  
Particle Multiplicity ◽  
Charged Particle Multiplicity ◽  
Factorial Moments ◽  
Ion Collisions ◽  
Binomial Distributions ◽  
Multiplicity Distributions

The method of normalized factorial moments has been used extensively to study the fluctuations in pseudorapidity of charged particle multiplicity as a function of the interval δη. Experience in analyzing the data from light and heavy ion collisions in terms of distributions rather than moments suggests that conventional fluctuations of multiplicity and transverse energy can be well described by gamma or Negative Binomial Distributions (NBD). Multiplicity distributions from central (ZCAL) collisions of 16 O+Cu at 14.6 A GeV/c have been analyzed by the E802 collaboration as a function of the interval δη≥0.1 in the range 1.2≤η≤2.2. Excellent fits to NBD were obtained in all δη bins. The k parameter of the NBD fit exhibits a steep linear increase with the δη interval, which due to the well known property of the NBD under convolution, indicates that the multiplicity distributions in adjacent bins of pseudorapidity δη~0.1 are largely statistically independent. This result explains and demystifies “intermittency.”

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