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The fact that several important effects in multiparticle dynamics, on which QCD has not yet satisfactory predictions, have been interpreted in terms of the validity of negative binomial (Pascal) regularity and related clan properties at the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Alberto Giovannini , Roberto Ugoccioni

Clan concept has been introduced in multiparticle dynamics in order to interpret the wide occurrence of negative binomial (NB) regularity in n-charged particle multiplicity distributions (MDs) in various high energy collisions. The…

High Energy Physics - Phenomenology · Physics 2015-06-25 M. Brambilla , A. Giovannini , R. Ugoccioni

This paper contains a review of the main results of a search of regularities in collective variables properties in multiparticle dynamics, regularities which can be considered as manifestations of the original simplicity suggested by QCD.…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Giovannini , R. Ugoccioni

Clan structure analysis in rapidity intervals is generalized from negative binomial multiplicity distribution to the wide class of compound Poisson distributions. The link of generalized clan structure analysis with correlation functions is…

High Energy Physics - Phenomenology · Physics 2009-09-25 S. Lupia , A. Giovannini , R. Ugoccioni

Clans are representations of generalized algebraic theories that contain more information than the finite-limit categories associated to the locally finitely presentable categories of models via Gabriel-Ulmer duality. Extending…

Category Theory · Mathematics 2025-01-20 Jonas Frey

Multiplicity distributions $P(N)$ measured in multiparticle production processes are most frequently described by the Negative Binomial Distribution (NBD). However, with increasing collision energy some systematic discrepancies become more…

High Energy Physics - Phenomenology · Physics 2016-12-06 Grzegorz Wilk , Zbigniew Włodarczyk

The negative binomial distribution (NBD) has been theorized to express a scale-invariant property of many-body systems and has been consistently shown to outperform other statistical models in both describing the multiplicity of…

High Energy Physics - Phenomenology · Physics 2023-10-09 S. V. Tezlaf

An approach for understanding the behavior of multiplicity distributions in restricted phase-space intervals derived on the basis of global observables is proposed. We obtain a unifying connection between local multiparticle clusters and…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. V. Chekanov , V. I. Kuvshinov

This contribution gives a short review of recent theoretical advances in most topics of nuclear cluster physics concentrating, however, around {$\alpha$} particle clustering. Along the route, the point of view will be critical mentioning…

Nuclear Theory · Physics 2018-11-29 P. Schuck

Two new criteria, that involve the microscopic dynamics of the system, are proposed for the identification of clusters in continuum systems. The first one considers a residence time in the definition of the bond between pairs of particles,…

Soft Condensed Matter · Physics 2009-11-07 Luis A. Pugnaloni , Fernando Vericat

We discuss the recently measured event-by-event multiplicity fluctuations in relativistic heavy-ion collisions. It is shown that the observed non-monotonic behaviour of the scaled variance of multiplicity distribution as a function of…

High Energy Physics - Phenomenology · Physics 2020-02-19 Maciej Rybczynski , Zbigniew Wlodarczyk

In this paper, STAR's measurement of clan multiplicity is presented for AuAu collisions at $\sqrt{s_\mathrm{NN}}$ = 7.7, 11.5, 19.6, 27, 39, 62.4 and 200 GeV, for a variety of centrality classes. The mean number of particles per clan is…

Nuclear Experiment · Physics 2015-06-22 Aihong Tang

A new multiplicity distribution with multifractal properties which can be used in high-energy physics and quantum optics is proposed. It may be considered as a generalization of the negative-binomial distribution. We find the structure of…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. V. Chekanov , V. I. Kuvshinov

Negative probabilities arise primarily in physics, statistical quantum mechanics and quantum computing. Negative probabilities arise as mixing distributions of unobserved latent variables in Bayesian modeling. Our goal is to provide a link…

Quantum Physics · Physics 2024-09-06 Nick Polson , Vadim Sokolov

Scenarios for particle production in the GeV and TeV regions are reviewed. The expected increase with c.m. energy of the average number of clans for the soft component and the decrease for the semihard one indicate possible classical and…

High Energy Physics - Phenomenology · Physics 2009-11-07 Alberto Giovannini , Sergio Lupia , Roberto Ugoccioni

In nuclear cluster systems, a rigorous structural forbiddenness of virtual nuclear division into unexcited fragments is obtained. We re-analyze the concept of forbiddenness, introduced in Ref. 1 for the understanding of structural effects…

Nuclear Theory · Physics 2015-09-02 Huitzilin H. Yepez-Martinez , Peter Otto Hess

Cluster structure in stable and unstable nuclei has been studied. We report recent developments of theoretical studies on cluster aspect, which is essential for structure study of light unstable nuclei. We discuss negative parity bands in…

Nuclear Theory · Physics 2015-06-26 Y. Kanada-En'yo , M. Kimura , H. Horiuchi

It is pointed out that ambiguities in the regularization of actions with second derivatives seem to happen with the same multiplicity that the standard model of elementary particles

High Energy Physics - Theory · Physics 2007-05-23 Alejandro Rivero

We address the emerging discrepancy between the Big Bang Nucleosynthesis data and standard cosmology, which asks for a bit longer evolution time. If this effect is real, one possible implication (in a framework of brane cosmology model) is…

High Energy Physics - Theory · Physics 2009-08-18 V. V. Flambaum , E. V. Shuryak

We study the notion of positive and negative complexity of pairs of objects in cluster categories. The first main result shows that the maximal complexity occurring is either one, two or infinite, depending on the representation type of the…

Category Theory · Mathematics 2010-01-06 Petter Andreas Bergh , Steffen Oppermann
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