GLOBAL PROPERTIES OF MULTIPLICITY DISTRIBUTIONS AND MULTIPLICITY CORRELATIONS IN e+e- ANNIHILATION AT LEP ENERGIES AS A MEASURE OF COHERENT DYNAMICS

1991 ◽  
Vol 06 (01) ◽  
pp. 55-60 ◽  
Author(s):  
SAUL BARSHAY
Keyword(s):  
Multiplicity Distribution ◽  
Dynamical Processes ◽  
Global Properties ◽  
Coherent Dynamics ◽  
Multiplicity Distributions

We study the possibility of the observable emergence of dynamical forward-backward multiplicity correlations among produced charge hadrons, and of a steadily broadening multiplicity distribution in e+e- annihilation at LEP. It is important to measure three related global properties. These reflect coherent dynamical processes in and among jets.

SOME CHARACTERISTICS OF THE COMPOUND MULTIPLICITY IN HIGH-ENERGY NUCLEUS–NUCLEUS INTERACTIONS

2011 ◽  
Vol 20 (08) ◽  
pp. 1735-1754 ◽  
Author(s):  
M. MOHERY ◽  
M. ARAFA
Keyword(s):  
Experimental Data ◽  
Impact Parameter ◽  
Mass Number ◽  
Multiplicity Distribution ◽  
High Energy ◽  
Projectile Nucleus ◽  
Target Mass ◽  
Compound Multiplicity ◽  
Multiplicity Distributions ◽  
The Impact

The present paper deals with the interactions of 22 Ne and 28 Si nuclei at (4.1–4.5)A GeV /c with emulsion. Some characteristics of the compound multiplicity nc given by the sum of the number of shower particles ns and grey particles ng have been investigated. The present experimental data are compared with the corresponding ones calculated according to modified cascade evaporation model (MCEM). The results reveal that the compound multiplicity distributions for these two reactions are consistent with the corresponding ones of MCEM data. It can also be seen that the peak of these distributions shifts towards a higher value of nc with increasing projectile mass. It may further be seen that the compound multiplicity distributions becomes broader with increasing target size and its width increases with the size of the projectile nucleus. In addition, it has been found that the MCEM can describe the compound multiplicity characteristics of the different projectile, target and the correlation between different emitted particles. The values of average compound multiplicity increase with increasing mass of the projectile. Furthermore, it is observed that while the value of 〈nc〉 depends on the mass number of the projectile Ap and the target mass number At, the value of the ratio 〈nc〉/D(nc) seems to be independent of Ap and At. The impact parameter is found to affect the shape of the compound multiplicity distribution. Finally, the dependence of the average compound multiplicity on the numbers of grey and black particles, and the sum of them, is obvious. The values of the slope have been found to be independent of the projectile nucleus.

MULTIPLICITY DISTRIBUTIONS IN LIMITED PSEUDORAPIDITY INTERVALS

1986 ◽  
Vol 01 (01) ◽  
pp. 15-21 ◽  
Author(s):  
C.S. LAM ◽  
M.S. ZAHIR
Keyword(s):  
Experimental Data ◽  
Multiplicity Distribution ◽  
Number Of Clusters ◽  
Total Multiplicity ◽  
Multiplicity Distributions

We calculate the multiplicity distributions in fixed pseudorapidity intervals |η|≤ηc for [Formula: see text] collisions at [Formula: see text] GeV from the total multiplicity distribution. Agreement with experimental data is good where expected. This calculation may be regarded as giving a relation between the number of clusters lying inside |η|≤ηc and the partition temperature Tp(N) introduced by Chou, Yang and Yen for N produced particles.

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.

QCD MULTIPLICITY DISTRIBUTIONS IN e+e− ANNIHILATION

1990 ◽  
Vol 05 (28) ◽  
pp. 2343-2349 ◽  
Author(s):  
E. D. MALAZA
Keyword(s):  
Multiplicity Distribution ◽  
Negative Binomial ◽  
Final States ◽  
Multiplicity Distributions ◽  
Perturbative Corrections

We present QCD predictions, including non-leading perturbative corrections of relative [Formula: see text], for the hadronic multiplicity distribution in e+e− annihilation final states. We obtain perturbative expansions whose convergence clearly points to a negative binomial. We anticipate the corrections of O(αs) to be important as the convergence is very slow due to the large [Formula: see text] corrections.

scholarly journals Intermittency in pseudorapidity space of pp collisions at √s $ \sqrt s $ = 7 TeV

2019 ◽  
Vol 206 ◽  
pp. 09004
Author(s):  
Z. Ong ◽  
E. Yuen ◽  
H.W. Ang ◽  
A.H. Chan ◽  
C.H. Oh
Keyword(s):  
Multiplicity Distribution ◽  
Pp Collisions ◽  
Factorial Moments ◽  
Scaling Properties ◽  
Scaling Behaviour ◽  
Theoretical Predictions ◽  
Multiplicity Distributions

The intermittency-type fluctuations in the pseudorapidity space of pp collisions at $ \sqrt s $ = 7 TeV done at the LHC is investigated, by analysing the scaling properties (exponents) of the factorial moments of the event multiplicity distributions in decreasing pseudorapidity bin size. It is found that the scaling behaviour persists in the $ \sqrt s $ = 7 TeV regime, indicating intermittent behaviour as observed previously in analyses done at lower energies [1,2]. Comparison is also made with the theoretical predictions of the Generalised Multiplicity Distribution (GMD) [3,4,6].

GENESIS OF THE LOGNORMAL MULTIPLICITY DISTRIBUTION IN THE e+e− COLLISIONS AND OTHER STOCHASTIC PROCESSES

1990 ◽  
Vol 05 (23) ◽  
pp. 1851-1869 ◽  
Author(s):  
R. SZWED ◽  
G. WROCHNA ◽  
A. K. WRÓBLEWSKI
Keyword(s):  
Limit Theorem ◽  
Multiplicity Distribution ◽  
Scaling Function ◽  
Average Multiplicity ◽  
Linear Functions ◽  
Scale Invariant ◽  
The Central Limit Theorem ◽  
The Mean ◽  
Multiplicity Distributions ◽  
The Scaling Function

It has been observed that the e+e− multiplicity distributions exhibit the following properties: the dispersions are linear functions of the mean and the distributions obey the KNO-G scaling with the scaling function of the lognormal shape. In this paper the scale invariant branching is assumed as a mechanism within which all these properties could be derived. It is shown that the lognormal shape of the scaling function can be obtained within proposed mechanism by using the generalization of the Central Limit Theorem. The dependence of the average multiplicity on energy is also derived within the postulated framework. It is also shown that many other phenomena encountered in nature have the similar statistical properties.

scholarly journals Internal Cumulants for Femtoscopy with Fixed Charged Multiplicity

2013 ◽  
Vol 2013 ◽  
pp. 1-22
Author(s):  
H. C. Eggers ◽  
B. Buschbeck
Keyword(s):  
Multiplicity Distribution ◽  
Reference Sample ◽  
Higher Order ◽  
Correction Factors ◽  
Charged Multiplicity ◽  
Detailed Understanding ◽  
Null Result ◽  
Careful Specification ◽  
Multiplicity Distributions ◽  
Reference Samples

A detailed understanding of all effects and influences on higher-order correlations is essential. At low charged multiplicity, the effect of a non-Poissonian multiplicity distribution can significantly distort correlations. Evidently, the reference samples with respect to which correlations are measured should yield a null result in the absence of correlations. We show how the careful specification of desired properties necessarily leads to an average-of-multinomials reference sample. The resulting internal cumulants and their averaging over several multiplicities fulfill all requirements of correctly taking into account non-Poissonian multiplicity distributions as well as yielding a null result for uncorrelated fixed-Nsamples. Various correction factors are shown to be approximations at best. Careful rederivation of statistical variances and covariances within the frequentist approach yields errors for cumulants that differ from those used so far. We finally briefly discuss the implementation of the analysis through a multiple event buffer algorithm.

EXTRACTION OF CLAN MODEL PARAMETERS FROM MULTIPLICITY DISTRIBUTIONS MEASURED IN pp COLLISIONS AT LHC ENERGIES

2011 ◽  
Vol 26 (39) ◽  
pp. 2951-2961 ◽  
Author(s):  
S. DUTTA ◽  
J. K. JASVANTLAL ◽  
A. DEWANTO ◽  
A. H. CHAN ◽  
C. H. OH
Keyword(s):  
Close Agreement ◽  
Multiplicity Distribution ◽  
Model Parameters ◽  
Pp Collisions ◽  
Data Comparison ◽  
Alternative Method ◽  
Multiplicity Distributions ◽  
Comparison Of The Results

This paper presents the variation of clan model parameters nc and [Formula: see text] with energy for p–p collisions at [Formula: see text] and 2360 GeV using ALICE and CMS as the detectors. The data for multiplicity distribution was reported by the ALICE and CMS collaborations. The values of [Formula: see text] and [Formula: see text] are evaluated from the NBD fit parameters [Formula: see text] and k. Hegyi [Phys. Lett. B274, 214 (1992)] suggested an alternative method for determination of clan model parameters from void probability. A comparison of values obtained from the two methods is also done. A close agreement of values obtained from the two methods was observed for 546 GeV [Formula: see text] collisions. However for LHC data the agreement is not very well. Void probability overestimates the value of [Formula: see text] and underestimates the value of [Formula: see text] compared to that obtained from NBD. [Formula: see text] is found to increase with energy for both ALICE and CMS data. Contrary to the observation at lower energies that [Formula: see text] does not depend on energy, it is found to vary with energy. The variation of [Formula: see text] with energy is more prominent for CMS data. The results are discussed in detail. For CMS data, comparison of the results with the 7000 GeV data is also shown.

CHARGED MULTIPLICITY DISTRIBUTION IN RELATIVISTIC HEAVY-ION COLLISIONS

2009 ◽  
Vol 18 (09) ◽  
pp. 1929-1944 ◽  
Author(s):  
SHAFIQ AHMAD ◽  
M. AYAZ AHMAD ◽  
M. TARIQ ◽  
M. ZAFAR
Keyword(s):  
Heavy Ion Collisions ◽  
Nuclear Emulsion ◽  
Multiplicity Distribution ◽  
Heavy Ion ◽  
Universal Function ◽  
Relativistic Heavy Ion Collisions ◽  
Medium Energy ◽  
Charged Multiplicity ◽  
Ion Collisions ◽  
Multiplicity Distributions

The experimental results of multiplicity distributions of grey and relativistic shower particles emitted in the interactions of 28 Si and 12 C ions at 4.5 A GeV /c with nuclear emulsion are reported. The study of the multiplicity distributions of relativistic shower particles and medium energy target-associated protons produced in heavy-ion collisions seems to observe the semi-inclusive KNO scaling. A simplified universal function has been used to represent the experimental data.

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