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We review the basic notion of correlations in point processes, adapted to the language of high energy physicists. The measurement of accessible information on correlations by means of correlation integrals is summarized. Applications to the…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. Lipa , H. C. Eggers , B. Buschbeck

We propose a Cholesky factor parameterization of correlation matrices that facilitates a priori restrictions on the correlation matrix. It is a smooth and differentiable transform that allows additional boundary constraints on the…

Computation · Statistics 2024-05-14 Sean Pinkney

Two-particle correlations have been measured for identified negative pions from central 158 AGeV Pb+Pb collisions and fitted radii of about 7 fm in all dimensions have been obtained. A multi-dimensional study of the radii as a function of…

High Energy Physics - Experiment · Physics 2009-01-07 WA98 Collaboration , M. M. Aggarwal

The Bose-Einstein correlations of photons emitted {}from a longitudinally expanding system of excited matter produced in ultrarelativistic heavy ion collision are studied. Two effects found in recent calculations -- that the correlation…

High Energy Physics - Phenomenology · Physics 2009-09-25 A. Timmermann , M. Pluemer , L. V. Razumov , R. M. Weiner

A method involving intensity correlation measurements is described, which allows for the complete removal of Doppler broadening in the emission of electromagnetic radiation from far-away sources that are inaccessible to conventional…

Optics · Physics 2021-04-22 R. Merlin , N. Green , I. Szapudi , G. Tarle

We prove the \textbf{NP}-hardness, using Karp reductions, of some problems related to the correlation polytope and its corresponding cone, spanned by all of the $n\times n$ rank-one matrices over $\{0,1\}$. The problems are: membership,…

Optimization and Control · Mathematics 2026-05-06 Alberto Caprara , Fabio Furini , Claudio Gentile , Leo Liberti , Andrea Lodi

When nonlinear measures are estimated from sampled temporal signals with finite-length, a radius parameter must be carefully selected to avoid a poor estimation. These measures are generally derived from the correlation integral which…

Methodology · Statistics 2024-01-09 Johan Medrano , Abderrahmane Kheddar , Annick Lesne , Sofiane Ramdani

To estimate the strength of the Bose-Einstein correlations and the radius of the hadronization region in multiparticle production, the two-particle correlation functions $R$ for identical pairs is adjusted to a parametric function…

High Energy Physics - Experiment · Physics 2009-10-31 A. De Angelis , L. Vitale

The spectra and correlation of identical particles emitted from small local-equilibrium sources are considered. The size of the system is defined by the negative part of the parabolic falling chemical potential. The analytical solution of…

High Energy Physics - Phenomenology · Physics 2020-09-02 M. D. Adzhymambetov , Yu. M. Sinyukov

In this paper we provide a convergence analysis of some variational methods alternative to the classical Tikhonov regularization, namely Ivanov regularization (also called method of quasi solutions) with some versions of the discrepancy…

Numerical Analysis · Mathematics 2018-04-18 Barbara Kaltenbacher , Andrej Klassen

Bose-Einstein correlations in relativistic heavy ion collisions are very different for opaque sources than fortransparent ones. The Bose-Einstein radius parameters measured in two-particle correlation functions depend sensitively on the…

Nuclear Theory · Physics 2008-02-03 H. Heiselberg , A. P. Vischer

In this paper we calculate with full details Einstein-Podolsky-Rosen spin correlations in the framework of nonrelativistic quantum mechanics. We consider the following situation: two-particle state is prepared (we consider separately…

Quantum Physics · Physics 2007-05-23 P. Caban , J. Rembielinski , K. A. Smolinski , Z. Walczak

We propose a new regularisation strategy for the classical ensemble Kalman inversion (EKI) framework. The strategy consists of: (i) an adaptive choice for the regularisation parameter in the update formula in EKI, and (ii) criteria for the…

Numerical Analysis · Mathematics 2020-09-24 Marco Iglesias , Yuchen Yang

The validity range of the time-honored effective range expansion can be very limited due to the presence of a left-hand cut close to the two-particle threshold. Such a left-hand cut arises in the two-particle interaction involving a light…

High Energy Physics - Phenomenology · Physics 2025-07-04 Meng-Lin Du , Feng-Kun Guo , Bing Wu

We calculate two-pion correlation functions at finite rapidities based on a hydrodynamical model which does not assume explicit boost invariance along the collision axis. Extracting the HBT radii through $\chi^2$ fits in both Cartesian and…

Nuclear Theory · Physics 2011-08-04 Kenji Morita

The description of the Drell-Yan (DY) transverse momentum spectrum requires matching of fixed order QCD calculations with soft gluon resummation up to all orders in the QCD coupling. It has been noticed in the literature that a consistent…

High Energy Physics - Phenomenology · Physics 2022-03-21 Aleksandra Lelek

The formalism for uniform description of Drell-Yan transverse-momentum spectrum is presented in a framework of High-Energy Factorization, which smoothly interpolates between Collins-Soper-Sterman formalism at $|{\bf q}_T|\ll Q$ and usual…

High Energy Physics - Phenomenology · Physics 2021-01-04 Maxim A. Nefedov , Vladimir A. Saleev

Rotne-Prager-Yamakawa approximation is one of the most commonly used methods of including hydrodynamic interactions in modelling of colloidal suspensions and polymer solutions. The two main merits of this approximation is that it includes…

Fluid Dynamics · Physics 2015-06-16 Eligiusz Wajnryb , Krzysztof A. Mizerski , Pawel J. Zuk , Piotr Szymczak

New arguments are presented to emphasize the interest of the infrared finite coupling approach to power corrections in the context of Sudakov resummation. The more regular infrared behavior of some peculiar combinations of Sudakov anomalous…

High Energy Physics - Phenomenology · Physics 2007-05-23 Georges Grunberg

Interatomic potentials provide a means to simulate extended length and time scales that are outside the reach of ab initio calculations. The development of an interatomic potential for a particular material requires the optimization of the…

Materials Science · Physics 2023-03-14 Aparna P. A. Subramanyam , Jan Jenke , Alvin Noe Ladines , Ralf Drautz , Thomas Hammerschmidt