Intriguing properties of multiplicity distributions

Rybczyński, M.; Wilk, G.; Włodarczyk, Z.

doi:10.1103/physrevd.99.094045

Cited by 20 publications

(45 citation statements)

References 39 publications

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“…bin. Similar observations are also observed by Rybczy´nski et al [20] in the CMS and ALICE data [19,23]. In figures 6-7, the errors on the data points are not shown for the reason that the error bars intermingle and blur the figures.…”

Section: Analysis and Resultssupporting

confidence: 84%

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

Aggarwal

Kaur

2020

Advances in High Energy Physics

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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, 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 networks 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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Section: Analysis and Resultssupporting

confidence: 84%

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

Aggarwal

Kaur

2020

Advances in High Energy Physics

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“…Oscillations were previously observed in the modified combinants derived from P (N ) values measured in pp and pp experiments, 1,4 whereas the C j values derived from the popular Negative Binomial Distribution (NBD) are monotonically decreasing with increasing j. a On the other hand, the Binomial Distribution (BD) gives strongly oscillating C j (with period two, not observed in the above data). To fit these data, one needs the BD to be compounded with another distribution that can effectively control the period and amplitude of the resulting oscillations (in Ref 4 it was compounded with an NBD).…”

Section: Introductionmentioning

confidence: 50%

Modified combinant analysis of the e+e− multiplicity distributions

Ang¹,

Ghaﬀar²,

Chan

et al. 2019

Mod. Phys. Lett. A

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As shown recently, one can obtain additional information from the measured charged particle multiplicity distributions, P (N ), by extracting information from the modified combinants, C j . This information is encoded in their specific oscillatory behavior, which can be described only by some combinations of compound distributions such as the Binomial Distribution. This idea has been applied to pp and pp processes thus far. In this note we show that an even stronger effect is observed in the C j deduced from e + e − collisions. We present its possible explanation in terms of the Generalised Multiplicity Distribution (GMD) proposed some time ago.

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“…Both features were only rarely used as a source of information. We demonstrate that the modified combinants can be extracted experimentally from the measured ( ) by means of a recurrence relation involving all ( < ), and that new information is hidden in their specific distinct oscillatory behavior, which, in most cases, is not observed in the obtained from the ( ) commonly used to fit experimental results [4][5][6][7]. We discuss the possible sources c ○ M. RYBCZYŃSKI, G. WILK, Z. W LODARCZYK, 2019 of such behavior and the connection of the with the enhancement of void probabilities, and their impact on our understanding of the multiparticle production mechanism, with emphasis on understanding both phenomena within the class of compound distributions.…”

Section: Introductionmentioning

confidence: 98%

A Look at Multiplicity Distributions via Modified Combinants

2019

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PACS 13.85. Hd, 25.75.Gz The experimentally measured multiplicity distributions exhibit, after closer inspection, peculiarly enhanced void probability and oscillatory behavior of the modified combinants. We show that both these features can be used as additional sources of information, not yet fully explored, on the mechanism of multiparticle production. We provide their theoretical understanding within the class of compound distributions. K e y w o r d s: multiplicity distributions, combinants, void probabilities, compound distributions.

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Intriguing properties of multiplicity distributions

Cited by 20 publications

References 39 publications

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

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

Modified combinant analysis of the e+e− multiplicity distributions

A Look at Multiplicity Distributions via Modified Combinants

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