Statistical Scrutiny of Particle Spectra in ep Collisions

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.

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Charged particle multiplicity distributions in proton-antiproton collisions at 540 GeV centre of mass energy

Physics Letters B ◽

10.1016/0370-2693(83)90969-3 ◽

1983 ◽

Vol 123 (1-2) ◽

pp. 108-114 ◽

Cited By ~ 63

Author(s):

G. Arnison ◽

A. Astbury ◽

B. Aubert ◽

C. Bacci ◽

R. Bernabei ◽

...

Keyword(s):

Charged Particle ◽

Particle Multiplicity ◽

Charged Particle Multiplicity ◽

Centre Of Mass ◽

Mass Energy ◽

Proton Antiproton ◽

Multiplicity Distributions

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Measurement of charged particle multiplicity distributions in DIS at HERA and its implication to entanglement entropy of partons

The European Physical Journal C ◽

10.1140/epjc/s10052-021-08896-1 ◽

2021 ◽

Vol 81 (3) ◽

Author(s):

V. Andreev ◽

A. Baghdasaryan ◽

A. Baty ◽

K. Begzsuren ◽

A. Belousov ◽

...

Keyword(s):

Monte Carlo ◽

Charged Particle ◽

Entanglement Entropy ◽

Particle Multiplicity ◽

Charged Particle Multiplicity ◽

Centre Of Mass ◽

Mass Energy ◽

Photon Virtuality ◽

Second Moments ◽

Multiplicity Distributions

AbstractCharged particle multiplicity distributions in positron-proton deep inelastic scattering at a centre-of-mass energy $$\sqrt{s}=319$$ s = 319 GeV are measured. The data are collected with the H1 detector at HERA corresponding to an integrated luminosity of 136 pb$$^{-1}$$ - 1 . Charged particle multiplicities are measured as a function of photon virtuality $$Q^2$$ Q 2 , inelasticity y and pseudorapidity $$\eta $$ η in the laboratory and the hadronic centre-of-mass frames. Predictions from different Monte Carlo models are compared to the data. The first and second moments of the multiplicity distributions are determined and the KNO scaling behaviour is investigated. The multiplicity distributions as a function of $$Q^2$$ Q 2 and the Bjorken variable $$x_{\mathrm{bj}}$$ x bj are converted to the hadron entropy $$S_{\mathrm{hadron}}$$ S hadron , and predictions from a quantum entanglement model are tested.

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Effects of phase space variables on oscillations of modified combinants

EPJ Web of Conferences ◽

10.1051/epjconf/202024007002 ◽

2020 ◽

Vol 240 ◽

pp. 07002

Author(s):

H.W. Ang ◽

Z. Ong ◽

P. Agarwal ◽

A.H. Chan ◽

C.H. Oh

Keyword(s):

Experimental Data ◽

Charged Particle ◽

Collision Energy ◽

Multiplicity Distribution ◽

Charged Particles ◽

Particle Multiplicity ◽

Charged Particle Multiplicity ◽

Centre Of Mass ◽

Oscillatory Behaviour ◽

Additional Information

It has been shown recently that additional information can be ob- tained from charged particle multiplicity distribution by investigating their mod- ified combinants C j, which exhibit periodic oscillatory behaviour. The modified combinants obtained from experimental data can be expressed in a recurrent form involving the probability of obtaining N charged particles P(N), scaled by the void probability P(0). The effects of various experimental observables such as |η|, pT and centre-of-mass collision energy √s on the oscillations of C j will be discussed.

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Compelling Evidence of Oscillatory Behaviour of Hadronic Multiplicities in the Shifted Gompertz Distribution

Advances in High Energy Physics ◽

10.1155/2020/5464682 ◽

2020 ◽

Vol 2020 ◽

pp. 1-12

Author(s):

R. Aggarwal ◽

M. Kaur

Keyword(s):

Particle Production ◽

High Energy Physics ◽

Diffusion Theory ◽

Probability Distributions ◽

High Energy ◽

Particle Multiplicity ◽

Charged Particle Multiplicity ◽

Oscillatory Behaviour ◽

Gompertz Distribution ◽

Multiplicity Distributions

Study of charged particle multiplicity distribution in high-energy interactions of particles helps in revealing the dynamics of particle production and the underlying statistical patterns, by which these distributions follow. Several distributions derived from statistics have been employed to understand its behaviour. In one of our earlier papers, we introduced the shifted Gompertz distribution to investigate this variable and showed that the multiplicity distributions in a variety of processes at different energies can be very well described by this distribution. The fact that the shifted Gompertz distribution, which has been extensively used in diffusion theory, social networking and forecasting, has been used for the first time in high-energy physics collisions remains interesting. In this paper, we investigate the phenomenon of oscillatory behaviour of the counting statistics observed in the high-energy experimental data, resulting from different types of recurrence relations defining the probability distributions. We search for such oscillations in the multiplicity distributions well described by the shifted Gompertz distribution and look for retrieval of additional valuable information from these distributions.

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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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