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We investigate moment sequences of probability measures on $E\subset\mathbb{R}$ under constraints of certain moments being fixed. This corresponds to studying sections of $n$-th moment spaces, i.e. the spaces of moment sequences of order…

Probability · Mathematics 2022-12-12 Holger Dette , Dominik Tomecki , Martin Venker

Bayesian methods are used to constrain the density dependence of the QCD Equation of State (EoS) for dense nuclear matter using the data of mean transverse kinetic energy and elliptic flow of protons from heavy ion collisions (HIC), in the…

High Energy Physics - Phenomenology · Physics 2023-11-20 Manjunath Omana Kuttan , Jan Steinheimer , Kai Zhou , Horst Stoecker

We study the fluctuations of net-charge, net-pion, net-kaon and net-proton using $D$-measure and $\nu_{dyn}$ variables in heavy-ion jet interaction generator (HIJING), ultra-relativistic quantum molecular dynamics (UrQMD), and hadron…

High Energy Physics - Phenomenology · Physics 2020-02-24 Vivek Kumar Singh , D. K. Mishra , Zubayer Ahammed

We present a method aimed at sampling charge density fluctuations in Coulomb systems. The derivation follows from a functional integral representation of the partition function in terms of charge density fluctuations. Starting from the…

Soft Condensed Matter · Physics 2016-03-21 Frédéric Poitevin , Marc Delarue , Henri Orland

We study the multiplicity fluctuation and correlation of identified mesons and baryons formed at the hadronization by the quark combination mechanism in the context of ultra-relativistic heavy-ion collisions. Based on the statistical method…

Nuclear Theory · Physics 2017-12-18 Hai-hong Li , Feng-lan Shao , Jun Song

The study of event-by-event fluctuations of net-baryon number in a subspace of full phase space is a promising direction for deciphering the structure of strongly interacting matter created in head-on collisions of relativistic heavy…

Nuclear Theory · Physics 2024-08-20 Peter Braun-Munzinger , Krzysztof Redlich , Anar Rustamov , Johanna Stachel

These notes introduce the theory of susceptibilities as developed in [arXiv:2504.18274, arXiv:2601.12703] for interpreting neural networks. The susceptibility of an observable $\phi$ to a data perturbation is defined as a derivative of a…

Machine Learning · Computer Science 2026-05-11 Chris Elliott , Daniel Murfet

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

Baryon number cumulants are invaluable tools to diagnose the primordial stage of heavy ion collisions if they can be measured. In experiments, however, proton number cumulants have been measured as substitutes. In fact, proton number…

Nuclear Theory · Physics 2015-05-28 Masakiyo Kitazawa , Masayuki Asakawa

Since their discovery, fluctuations in the initial state of heavy-ion collisions have been understood as originating mostly from the random positions of nucleons within the colliding nuclei. We consider an alternative approach where all the…

Multiplicity fluctuations of positively, negatively and all charged hadrons in the forward hemisphere were studied in central Pb+Pb collisions at 20A, 30A, 40A, 80A and 158A GeV. The multiplicity distributions and their scaled variances are…

Nuclear Experiment · Physics 2013-05-29 The NA49 Collaboration , B. Lungwitz

The ability to describe strongly interacting matter at finite temperature and baryon density provides the means to determine, for instance, the equation of state of QCD at non-zero baryon chemical potential. From a theoretical point of…

High Energy Physics - Lattice · Physics 2019-01-30 Felipe Attanasio , Benjamin Jäger

We simultaneously incorporate two common extensions of the hadron resonance gas model, namely the addition of extra, unconfirmed resonances to the particle list and the excluded volume repulsive interactions. We emphasize the complementary…

Nuclear Theory · Physics 2021-11-09 Jamie M. Karthein , Volker Koch , Claudia Ratti , Volodymyr Vovchenko

A modification of the Skellam and Poisson distributions is proposed for subsystems when the constraints imposed by the charge conservation law in the complete system are taken into account. Such distributions can be applied, for example,…

Nuclear Theory · Physics 2018-05-11 Yuri Sinyukov

Initial states of high energy heavy ion collisions are studied using a dipole model through the DIPSY event generator that dynamically includes saturation together with the fluctuations and correlations of the BFKL cascade. The…

Nuclear Theory · Physics 2011-08-25 Christoffer Flensburg

Quark number susceptibilities as computed in lattice QCD are commonly believed to provide insights into the microscopic structure of QCD matter, in particular its degrees of freedom. We generalize a previously constructed partonic…

High Energy Physics - Phenomenology · Physics 2022-11-30 Shuai Y. F. Liu , Ralf Rapp

We formulate a baseline model for the net-proton number fluctuations in ultrarelativistic heavy-ion collisions. Our model includes total baryon number conservation, fluctuations of the participating nucleon number, limited acceptance, and a…

Nuclear Theory · Physics 2019-03-29 Boris Tomasik , Ivan Melo , Lukas Laffers , Marcus Bleicher

We address the role of fluctuations in strongly interacting matter during the dense stages of a heavy-ion collision through its electromagnetic emission. Fluctuations of isospin charge are considered in a thermal system at rest as well as…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Prakash , R. Rapp , J. Wambach , I. Zahed

We investigate baryon number fluctuations for finite temperature and density in two-flavor QCD. This is done within a QCD-improved low-energy effective theory in an extension of the approach put forward in [1,2]. In the present work we aim…

High Energy Physics - Phenomenology · Physics 2017-01-04 Wei-jie Fu , Jan M. Pawlowski , Fabian Rennecke , Bernd-Jochen Schaefer

Motivated by forthcoming experiments at RHIC and LHC, we study event-by-event fluctuations in ultrarelativistic heavy-ion collisions in participant nucleon as well as thermal models. The calculated physical observables, including…

Nuclear Theory · Physics 2008-11-26 G. Baym , H. Heiselberg