Charged-particle multiplicity distributions in e+e- annihilation and negative binomial distributions

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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NEGATIVE BINOMIAL DISTRIBUTION AND MULTIPLICITY DISTRIBUTIONS FOR e+e− AND $p\bar{p}$ COLLISIONS

Modern Physics Letters A ◽

10.1142/s0217732386000695 ◽

1986 ◽

Vol 01 (09) ◽

pp. 553-556

Author(s):

C.K. CHEW ◽

S. DATÉ ◽

D. KIANG

Keyword(s):

Experimental Data ◽

Charged Particle ◽

Impact Parameter ◽

Negative Binomial Distribution ◽

Binomial Distribution ◽

Multiplicity Distribution ◽

Negative Binomial ◽

Particle Multiplicity ◽

Charged Particle Multiplicity ◽

Multiplicity Distributions

The charged particle multiplicity distribution in [Formula: see text] collision is related to that of e+e− in a class of geometric models. The multiplicity distribution at a given impact parameter is taken to be a negative binomial distribution. The calculation agrees well with the experimental data.

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

Modern Physics Letters A ◽

10.1142/s0217732394000101 ◽

1994 ◽

Vol 09 (02) ◽

pp. 89-100 ◽

Cited By ~ 9

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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