Comparison of various models of particle multiplicity distributions using a general form of the grand canonical partition function

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dc.creatorLee, S. J.
dc.creatorMekjian, A. Z.
dc.date2002-02-20
dc.date.accessioned2026-07-07T05:38:59Z
dc.date.available2026-07-07T05:38:59Z
dc.descriptionVarious phenomenological models of particle multiplicity distributions are discussed using a general form of the grand canonical partition function. These phenomenological models include a wide range of varied processes such as coherent emission or Poisson processes, chaotic emission resulting in a negative binomial distribution, combinations of coherent and chaotic processes called signal/noise distributions, and models based on field emission from Lorentzian line shapes leading to Lorentz/Catalan distributions. These specific cases can be written as special cases of a more general distribution. Using this grand canonical approach moments and cumulants, combinants, hierarchical structure, void scaling relations, KNO scaling features, clan variables and branching laws associated with stochastic or ancestral variables are discussed. It is shown that just looking at the mean and fluctuation of data is not enough to distinguish these distributions or the underlying mechanism. A generalization of the Poisson transform of a distribution and the Poissonian decomposition of it into a compound or sequential process is also given.
dc.description28 pages including 6 figures. Submitted to PRC
dc.identifierhttps://arxiv.org/abs/nucl-th/0202065
dc.identifierhttp://arxiv.org/abs/nucl-th/0202065
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/81809
dc.subjectNuclear Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.titleComparison of various models of particle multiplicity distributions using a general form of the grand canonical partition function
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