Negative binomial multiplicity distribution and interferometry based on a generating functional method

2002 ◽  
Vol 66 (2) ◽  
Author(s):  
Hiroki Nakamura ◽  
Ryoichi Seki
Keyword(s):  
Multiplicity Distribution ◽  
Negative Binomial ◽  
Functional Method ◽  
Generating Functional

Generating functional method for spin variables

1973 ◽  
Vol 16 (2) ◽  
pp. 820-829 ◽  
Author(s):  
S. V. Peletminskii ◽  
A. A. Yatsenko
Keyword(s):  
Functional Method ◽  
Generating Functional

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 Study of Photon Multiplicity Distribution in the Context of Negative Binomial Distribution

2021 ◽  
pp. 1418-1422
Author(s):  
Neeraj Gupta
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Negative Binomial Distribution ◽  
Binomial Distribution ◽  
Multiplicity Distribution ◽  
Negative Binomial ◽  
Simulation Data ◽  
Standard Program ◽  
Free Parameters ◽  
Photon Multiplicity

The attempt is made to characterize the photon multiplicity distribution as recorded in Photon Multiplicity Detector (PMD) as a part of the WA98 experiment for Pb-Pb interactions at 158 A GeV in terms of Negative Binomial Distribution. The free parameters n ̅ and k of the negative binomial distribution are optimized using CERN standard program MINIUTE and the errors or the parameters are calculated as given in MINOS software. The results obtained are compared with the predictions of Monte Carlo simulation data using VENUS 4.12.

VOID PROBABILITY ENHANCED MULTIPLICITY DISTRIBUTION OF PRODUCED HADRONS IN p–p COLLISION AT LHC ENERGIES

2012 ◽  
Vol 27 (26) ◽  
pp. 1250145 ◽  
Author(s):  
S. DUTTA ◽  
A. H. CHAN ◽  
C. H. OH
Keyword(s):  
Upper Bound ◽  
Collision Energy ◽  
Multiplicity Distribution ◽  
Negative Binomial ◽  
Geometric Distribution ◽  
Geometric Model ◽  
Theoretical Models ◽  
Text Data

This paper studies the multiplicity distribution of hadrons produced in p–p collisions at 0.9 and 2.36 TeV using ALICE as a detector. The multiplicity distribution exhibits enhanced void probability. They are also found to satisfy the void probability scaling. The scaling of χ with [Formula: see text] is studied using the generalized hypergeometric model. The variation of the parameter "a" of the hyper geometric model with energy and type of events is also studied. The parameter "a" distinguishes between various theoretical models, e.g. Lorentz/Catalan, negative binomial, geometric distribution etc. Finally a comparison is made with the [Formula: see text] collisions at 200, 546 and 900 GeV. It is observed both for p–p and [Formula: see text] data, the value of "a" decreases with increase in collision energy and approach towards the upper bound or the NB model of the void probability scaling.

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