Negative binomial multiplicity distributions for proton-nucleus collisions from a string model

1989 ◽  
Vol 45 (1) ◽  
pp. 91-97 ◽  
Author(s):  
M. Kutschera ◽  
K. Werner
Keyword(s):  
Negative Binomial ◽  
String Model ◽  
Multiplicity Distributions

scholarly journals INFLUENCE OF STATISTICAL FLUCTUATIONS ON K/π RATIOS IN RELATIVISTIC HEAVY ION COLLISIONS

2001 ◽  
Vol 16 (07) ◽  
pp. 1227-1235 ◽  
Author(s):  
C. B. YANG ◽  
X. CAI
Keyword(s):  
Negative Binomial ◽  
Heavy Ion ◽  
Relativistic Heavy Ion Collisions ◽  
Relative Variance ◽  
Ion Collisions ◽  
Statistical Fluctuations ◽  
Binomial Distributions ◽  
The Mean ◽  
Multiplicity Distributions ◽  
Statistical Background

The influence of pure statistical fluctuations on K/π ratio is investigated in an event-by-event way. Poisson and the modified negative binomial distributions are used as the multiplicity distributions since they both have statistical background. It is shown that the distributions of the ratio in these cases are Gaussian, and the mean and relative variance are given analytically.

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.

Approximating gamma distributions by normalized negative binomial distributions

1994 ◽  
Vol 31 (02) ◽  
pp. 391-400 ◽  
Author(s):  
José A. Adell ◽  
Jesús De La Cal
Keyword(s):  
Distribution Function ◽  
Negative Binomial ◽  
Upper And Lower Bounds ◽  
Exact Order ◽  
Bernstein Type ◽  
Birth Process ◽  
Charged Multiplicity ◽  
Binomial Distributions ◽  
Gamma Distributions ◽  
Multiplicity Distributions

Let F be the gamma distribution function with parameters a > 0 and α > 0 and let Gs be the negative binomial distribution function with parameters α and a/s, s > 0. By combining both probabilistic and approximation-theoretic methods, we obtain sharp upper and lower bounds for . In particular, we show that the exact order of uniform convergence is s–p , where p = min(1, α). Various kinds of applications concerning charged multiplicity distributions, the Yule birth process and Bernstein-type operators are also given.

MULTIPARTICLE PRODUCTION IN HADRON-NUCLEUS COLLISION AND THE NEGATIVE BINOMIAL DISTRIBUTION

1989 ◽  
Vol 04 (02) ◽  
pp. 115-123 ◽  
Author(s):  
V. KUMAR ◽  
P. LAL ◽  
H. S. PALSANIA ◽  
K. B. BHALLA ◽  
S. LOKANATHAN
Keyword(s):  
Charged Particle ◽  
Negative Binomial Distribution ◽  
Binomial Distribution ◽  
Negative Binomial ◽  
Nucleus Collision ◽  
Particle Multiplicity ◽  
Charged Particle Multiplicity ◽  
Energy Formula ◽  
Multiplicity Distributions ◽  
Average Size

Negative Binomial Distribution (NBD) has been shown to fit the charged particle multiplicity distributions obtained in various hadron-nucleus collision experiments at energies E lab = 6.2 to 800 GeV. The inverse of NBD-parameter k shows a logarithmic increase with CM energy, [Formula: see text] which is different from that in elementary collisions. It has also been shown for the abovementioned reactions that the average size of the 'clan' increases with energy. The investigation of clan structure in π− + Em reaction shows that the clans are more numerous but smaller in size in the forward than backward hemisphere.

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