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

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 unders...

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Main Authors: R. Aggarwal, M. Kaur
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2020/5464682
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author R. Aggarwal
M. Kaur
author_facet R. Aggarwal
M. Kaur
author_sort R. Aggarwal
collection DOAJ
description 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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spelling doaj-art-b9a6a0e0a17149279e6bdc61512e36512025-02-03T05:53:14ZengWileyAdvances in High Energy Physics1687-73571687-73652020-01-01202010.1155/2020/54646825464682Compelling Evidence of Oscillatory Behaviour of Hadronic Multiplicities in the Shifted Gompertz DistributionR. Aggarwal0M. Kaur1Savitribai Phule Pune University, 411007, Pune, IndiaPhysics Department, Panjab University, 160014, Chandigarh, IndiaStudy 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.http://dx.doi.org/10.1155/2020/5464682
spellingShingle R. Aggarwal
M. Kaur
Compelling Evidence of Oscillatory Behaviour of Hadronic Multiplicities in the Shifted Gompertz Distribution
Advances in High Energy Physics
title Compelling Evidence of Oscillatory Behaviour of Hadronic Multiplicities in the Shifted Gompertz Distribution
title_full Compelling Evidence of Oscillatory Behaviour of Hadronic Multiplicities in the Shifted Gompertz Distribution
title_fullStr Compelling Evidence of Oscillatory Behaviour of Hadronic Multiplicities in the Shifted Gompertz Distribution
title_full_unstemmed Compelling Evidence of Oscillatory Behaviour of Hadronic Multiplicities in the Shifted Gompertz Distribution
title_short Compelling Evidence of Oscillatory Behaviour of Hadronic Multiplicities in the Shifted Gompertz Distribution
title_sort compelling evidence of oscillatory behaviour of hadronic multiplicities in the shifted gompertz distribution
url http://dx.doi.org/10.1155/2020/5464682
work_keys_str_mv AT raggarwal compellingevidenceofoscillatorybehaviourofhadronicmultiplicitiesintheshiftedgompertzdistribution
AT mkaur compellingevidenceofoscillatorybehaviourofhadronicmultiplicitiesintheshiftedgompertzdistribution