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We calculate the baryon number cumulants within acceptance with short-range correlations and global baryon number conservation in terms of cumulants in the whole system without baryon conservation. We extract leading and next-to-leading…

High Energy Physics - Phenomenology · Physics 2023-03-29 Michał Barej , Adam Bzdak

The proton, antiproton and mixed proton-antiproton factorial cumulants originating from the global conservation of baryon number are calculated analytically up to the sixth order. Our results can be directly tested in experiments.

Nuclear Theory · Physics 2021-01-04 Michał Barej , Adam Bzdak

We discuss the modification of the cumulants of the net baryon and net proton distributions due to the global conservation of baryon number in heavy-ion collisions. Corresponding probability distributions and their cumulants are derived…

High Energy Physics - Phenomenology · Physics 2013-05-30 Adam Bzdak , Volker Koch , Vladimir Skokov

We study fluctuations in the canonical ensemble, where the net baryon number is exactly conserved. The focus is on cumulants and factorial cumulants linked to the baryon and antibaryon multiplicities and their sum or difference in full…

Nuclear Theory · Physics 2022-05-17 Bengt Friman , Krzysztof Redlich

We discuss properties and applications of factorial cumulants of various particle numbers and for their mixed channels measured by the event-by-event analysis in relativistic heavy-ion collisions. After defining the factorial cumulants for…

Nuclear Theory · Physics 2017-08-30 Masakiyo Kitazawa , Xiaofeng Luo

We analyze joint factorial cumulants of protons and antiprotons in relativistic heavy-ion collisions and point out that they obey the scaling $\hat{C}_{nm}^{p,\bar{p}} \propto \langle N_p \rangle^n \langle N_{\bar{p}} \rangle^m$ as a…

Nuclear Theory · Physics 2025-08-08 Adam Bzdak , Volker Koch , Volodymyr Vovchenko

We study the influence of global baryon number conservation on the non-critical baseline of net baryon cumulants in heavy-ion collisions in a given acceptance, accounting for the asymmetry between the mean-numbers of baryons and…

Factorial moments and cumulants are usually defined with respect to the unconditioned Poisson process. Conditioning a sample by selecting events of a given overall multiplicity $N$ necessarily introduces correlations. By means of Edgeworth…

High Energy Physics - Phenomenology · Physics 2009-10-28 P. Lipa , H. C. Eggers , B. Buschbeck

We find all factorized duality functions for a class of interacting particle systems. The functions we recover are self-duality functions for interacting particle systems such as zero-range processes, symmetric inclusion and exclusion…

Probability · Mathematics 2018-08-01 Frank Redig , Federico Sau

The effects of finite particle number sampling on the net baryon number cumulants, extracted from fluid dynamical simulations, are studied. The commonly used finite particle number sampling procedure introduces an additional Poissonian (or…

Nuclear Theory · Physics 2017-10-02 Jan Steinheimer , Volker Koch

We investigate fluctuations in the canonical ensemble of an Abelian charge, such as baryon number. Our focus is on cumulants and factorial cumulants of baryon and antibaryon multiplicity distributions, including their sum and difference, in…

Nuclear Theory · Physics 2025-08-27 Bengt Friman , Krzysztof Redlich , Anar Rustamov

We consider the effect of volume fluctuations on cumulants of the net baryon number. Based on a general formalism, we derive universal expressions for the net baryon number cumulants in the presence of volume fluctuations with an arbitrary…

High Energy Physics - Phenomenology · Physics 2016-03-03 V. Skokov , B. Friman , K. Redlich

We analyze the behavior of cumulants of conserved charges in a subvolume of a thermal system with exact global conservation laws by extending a recently developed subensemble acceptance method (SAM) [V. Vovchenko et al., arXiv:2003.13905]…

High Energy Physics - Phenomenology · Physics 2020-10-16 Volodymyr Vovchenko , Roman V. Poberezhnyuk , Volker Koch

Using a generating-function formalism, we compute the contribution of momentum conservation to multiparticle correlations between the emitted particles in high-energy collisions. In particular, we derive a compact expression of the genuine…

High Energy Physics - Phenomenology · Physics 2011-09-13 Nicolas Borghini

A systematic study of the relations between fluctuations of the extensive multiparticle variables and integrals of the inclusive multipaticle densities is analysed. The generalized factorial moments are introduced and their physical meaning…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Bialas

We extend the work of Kannan et al. and derive the cumulant generating function for the alternating mass harmonic chain consisting of N particles and driven by heat reservoirs. The main result is a closed expression for the cumulant…

Statistical Mechanics · Physics 2014-10-07 Hans C. Fogedby

We show that the values of the first three cumulants of the baryon number distribution can be used to calculate the isothermal speed of sound and its logarithmic derivative with respect to the baryon number density. We discuss applications…

Nuclear Theory · Physics 2023-02-14 Agnieszka Sorensen , Dmytro Oliinychenko , Larry McLerran , Volker Koch

The ratio of cumulant to factorial moments of experimental multiplicity distributions has been calculated for $e^{+}e^{-}$ and $hh$ interactions in a wide range of energies. As a function of the rank it exhibits an initial steep decrease…

High Energy Physics - Experiment · Physics 2009-10-22 I. M. Dremin , V. Arena , G. Boca , G. Gianini , S. Malvezzi , M. Merlo , S. P. Ratti , C. Riccardi , G. Salvadori , L. Viola , P. Vitulo

Cumulants of baryon number are given considerable attention in analyses of heavy-ion collision experiments as possible signatures of the QCD critical point. In this work, we show that the values of the lowest three cumulants can also be…

Nuclear Theory · Physics 2021-10-25 Agnieszka Sorensen , Dmytro Oliinychenko , Volker Koch , Larry McLerran

In the present paper we define the notion of generalized cumulants which gives a universal framework for commutative, free, Boolean, and especially, monotone probability theories. The uniqueness of generalized cumulants holds for each…

Probability · Mathematics 2015-05-13 Takahiro Hasebe , Hayato Saigo
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