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Multiplicity fluctuations in heavy ion collisions obtain comparable contributions both from initial stage of the collisions, and from final stage interaction. We calculate the former component, using the ``wounded nucleon'' model and…

Nuclear Theory · Physics 2007-05-23 G. V. Danilov , E. V. Shuryak

Multiplicity distributions of hadrons produced in central nucleus-nucleus collisions are studied within the hadron-resonance gas model in the large volume limit. In the canonical ensemble conservation of three charges (baryon number,…

Nuclear Theory · Physics 2008-11-26 M. Hauer , V. V. Begun , M. Gazdzicki , M. I. Gorenstein , V. P. Konchakovski , B. Lungwitz

Multiplicity fluctuations are one of the most crucial observables in the Beam Energy Scan program of the Relativistic Heavy Ion Collider. It is understood that they can be utilized to probe the whereabouts of the critical point on the phase…

Nuclear Theory · Physics 2020-02-12 Hong-Hao Ma , Dan Wen , Kai Lin , Wei-Liang Qian , Bin Wang , Yogiro Hama , Takeshi Kodama

Multiplicity distributions of intermediate mass fragments (IMF) seen in intermediate energy heavy ion collisions have been of great interest in the last ten years. The distributions of single intermediate sized element are close to…

Nuclear Theory · Physics 2009-11-10 L. Shi , S. Das Gupta

A detailed understanding of all effects and influences on higher-order correlations is essential. At low charged multiplicity, the effect of a nonpoissonian multiplicity distribution can significantly distort correlations. Evidently, the…

High Energy Physics - Experiment · Physics 2013-08-22 H. C. Eggers , B. Buschbeck

Statistical moments of particle multiplicities in heavy-ion collision experiments are an important probe in the exploration of the phase diagram of strongly interacting matter and, particularly, in the search for the QCD critical end point.…

High Energy Physics - Phenomenology · Physics 2017-09-01 Maurício Hippert , Eduardo S. Fraga

We propose in this paper a random intercept Poisson model in which the random effect distribution is assumed to follow a generalized log-gamma (GLG) distribution. We derive the first two moments for the marginal distribution as well as the…

Methodology · Statistics 2011-05-12 Lizandra C. Fabio , Gilberto A. Paula , Mario de Castro

It is argued that the multiplicity distribution in proton-proton ($pp$) collisions, which is often parameterized by the negative binomial distribution, may result from the multiplicity distribution measured in electron-positron…

High Energy Physics - Phenomenology · Physics 2017-09-05 Adam Bzdak

Various measures of charge fluctuations in heavy-ion collisions are discussed. Advantages of the Phi-measure are demonstrated and its relation to other fluctuation measures is established. To get the relation, Phi is expressed through the…

Nuclear Theory · Physics 2016-09-08 Stanislaw Mrowczynski

Comparing proposed quantities to analyze charged particle fluctuations in heavy ion experiments we find the dispersion of the charges in a central rapidity box as best suited. Various energies and different nuclear sizes were considered in…

High Energy Physics - Phenomenology · Physics 2007-05-23 Fritz W. Bopp , Johannes Ranft

It is generally known that counting statistics is not correctly described by a Gaussian approximation. Nevertheless, in neutron scattering, it is common practice to apply this approximation to the counting statistics; also at low counting…

Data Analysis, Statistics and Probability · Physics 2020-06-09 Jakob Lassa , Magnus Egede Bøggild , Per Hedegård , Kim Lefmann

This paper presents the primary charged-particle multiplicity distributions in proton-lead collisions at a centre-of-mass energy per nucleon-nucleon collision of $\sqrt{s_{\rm NN}} = 5.02$ TeV. The distributions are reported for non-single…

Nuclear Experiment · Physics 2025-11-18 ALICE Collaboration

As one of the possible signals for the whereabouts of the critical point on the QCD phase diagram, recently, the multiplicity fluctuations in heavy-ion collisions have aroused much attention. It is a crucial observable of the Beam Energy…

High Energy Physics - Phenomenology · Physics 2020-01-24 Hong-Hao Ma , Kai Lin , Wei-Liang Qian , Bin Wang

The multiplicity distribution of particles in relativistic gases is studied in terms of Tsallis' nonextensive statistics. For an entropic index q>1 the multiplicity distribution is wider than the Poisson distribution with the same average…

Statistical Mechanics · Physics 2007-05-23 C. E. Aguiar , T. Kodama

Event-by-event fluctuations and correlations between particles produced in relativistic nuclear collisions are studied. The fluctuations in positive, negative, total and net charge are closely related through correlations. In the event of a…

Nuclear Theory · Physics 2008-11-26 H. Heiselberg , A. D. Jackson

The number of particles detected in a nucleus-nucleus collision strongly depends on the impact parameter of the collision. Therefore, multiplicity fluctuations, as well as rapidity correlations of multiplicities, are dominated by impact…

Certain monotonicity properties of the Poisson approximation to the binomial distribution are established. As a natural application of these results, exact (rather than approximate) tests of hypotheses on an unknown value of the parameter…

Probability · Mathematics 2020-08-05 Iosif Pinelis

We perform transport model calculations for central collisions of mass 120 on mass 120 at laboratory beam energy in the range 20 MeV/nucleon to 200 MeV/nucleon. A simplified yet accurate method allows calculation of fluctuations in systems…

Nuclear Theory · Physics 2015-06-24 S. Mallik , S. Das Gupta , G. Chaudhuri

We develop methods to deal with non-dynamical contributions to event-by-event fluctuation measurements of net-particle numbers in relativistic nuclear collisions. These contributions arise from impact parameter fluctuations and from the…

Nuclear Theory · Physics 2017-05-09 P. Braun-Munzinger , A. Rustamov , J. Stachel

Experimental joint multiplicity distributions of neutrons and charged particles emitted in complex nuclear reactions provide an important test of theoretical models. The method is applied to test three different theoretical models of…

Nuclear Experiment · Physics 2009-10-31 J. Toke , D. K. Agnihotri , W. Skulski , W. U. Schroeder