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Collimation systems are essential in particle accelerators to safely and efficiently manage unavoidable beam losses during operation. These systems rely on collimators, which are specially designed movable jaws or absorbers positioned close…

Accelerator Physics · Physics 2026-03-05 Nuria Fuster Martínez

We present a method that may allow an estimate of the value of the speed of sound as well as its logarithmic derivative with respect to the baryon number density in matter created in heavy-ion collisions. To this end, we utilize well-known…

Nuclear Theory · Physics 2021-07-28 Agnieszka Sorensen , Dmytro Oliinychenko , Volker Koch , Larry McLerran

A method is presented for calculating solutions to differential equations analytically for a variety of problems in physics. An iteration procedure based on the recently proposed BLUES (Beyond Linear Use of Equation Superposition) function…

Pattern Formation and Solitons · Physics 2020-12-09 Jonas Berx , Joseph O. Indekeu

We present a method based on three-particle azimuthal correlation cumulants for studying jet interactions with the medium produced in heavy ion collisions (at RHIC) where jets cannot be reconstructed on an event-by-event basis with…

Nuclear Experiment · Physics 2008-11-26 Claude A Pruneau

It is shown how high-order cumulants of net-charge distribution in hadronic collisions at LHC energies can be expressed via lower-order terms under the assumption that particle-antiparticle pairs are produced in independent local processes.…

Nuclear Theory · Physics 2020-09-15 Igor Altsybeev

We discuss opportunities that may arise from subjecting high-multiplicity events in relativistic heavy ion collisions to an analysis similar to the one used in cosmology for the study of fluctuations of the Cosmic Microwave Background…

In relativistic heavy-ion collisions, where quark-gluon plasma forms, hadron production is anisotropic at both low and high transverse momentum, driven by flow dynamics and spatial anisotropies. To better understand these mechanisms, we use…

Nuclear Theory · Physics 2026-01-16 Tanner Mengel , Niseem Magdy , Ron Belmont , Anthony Timmins , Christine Nattrass

This paper presents a new approach to combine cross-correlation functions. The combination is based on a maximum-likelihood approach and uses a non-linear combination scheme. It can be effective for radial-velocity analysis of multi-order…

Astrophysics · Physics 2007-05-23 Shay Zucker

The independent component model is a latent variable model where the components of the observed random vector are linear combinations of latent independent variables. The aim is to find an estimate for a transformation matrix back to…

Statistics Theory · Mathematics 2015-05-12 Joni Virta , Klaus Nordhausen , Hannu Oja

Smashing nuclei at ultrarelativistic speeds and analyzing the momentum distribution of outgoing debris provides a powerful method to probe the many-body properties of the incoming nuclear ground states. Within a perturbative description of…

Nuclear Theory · Physics 2025-04-04 Thomas Duguet , Giuliano Giacalone , Sangyong Jeon , Alexander Tichai

We use an operational approach to discuss ways to measure the higher-order cross-correlations between optical and matter-wave fields. We pay particular attention to the fact that atomic fields actually consist of composite particles that…

Quantum Physics · Physics 2009-10-31 G. A. Prataviera , J. Zapata , P. Meystre

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

We present a systematic investigation of particle number fluctuations in the crossover region near the critical endpoint of a first-order phase transition using molecular dynamics simulations of the classical Lennard-Jones fluid. We extend…

Measurement of 4-particle symmetric cumulants has been considered to be a good tool to study the correlations between amplitudes of different orders of anisotropic flow harmonics in the heavy-ion collision. These new observables not yet…

Nuclear Experiment · Physics 2017-03-15 Md. Nasim

We combine infinite-dimensional integration by parts procedures with a recursive relation on moments (reminiscent of a formula by Barbour (1986)), and deduce explicit expressions for cumulants of functionals of a general Gaussian field.…

Probability · Mathematics 2009-10-13 Ivan Nourdin , Giovanni Peccati

We consider a general framework for multi-type interacting particle systems on graphs, where particles move one at a time by random walk steps, different types may have different speeds, and may interact, possibly randomly, when they meet.…

Probability · Mathematics 2025-05-15 John Haslegrave , Peter Keevash

Collimation systems in particle accelerators are designed to dispose of unavoidable losses safely and efficiently during beam operation. Different roles are required for different types of accelerator. The present state of the art in beam…

Accelerator Physics · Physics 2016-08-11 S. Redaelli

The relevance of higher order cumulants of net baryon number fluctuations for the analysis of freeze-out and critical conditions in heavy-ion collisions at LHC and RHIC is addressed. The sign structure of the higher order cumulants in the…

High Energy Physics - Phenomenology · Physics 2012-12-06 Bernd-Jochen Schaefer , Mathias Wagner

We report on a considerable improvement in the technique of measuring multiparticle correlations via integrals over correlation functions. A modification of measures used in the characterization of chaotic dynamical sytems permits fast and…

High Energy Physics - Phenomenology · Physics 2009-10-22 H. C. Eggers , P. Lipa , P. Carruthers , B. Buschbeck

Cumulant mapping has been recently suggested [Frasinski, Phys. Chem. Chem. Phys. 24, 207767 (2022)] as an efficient approach to observing multi-particle fragmentation pathways, while bypassing the restrictions of the usual…

Chemical Physics · Physics 2025-04-11 S. Patchkovskii , J. Mikosch