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The multipole expansion is a key tool in the study of light-matter interactions. All the information about the radiation of and coupling to electromagnetic fields of a given charge-density distribution is condensed into few numbers: The…

Optics · Physics 2018-05-08 R. Alaee , C. Rockstuhl , I. Fernandez-Corbaton

I review the prospects for measuring source characteristics from correlations other than those involving identical pions. Correlations generated from Coulomb and strong interactions are shown to provide remarkable resolving power for…

Nuclear Theory · Physics 2011-08-04 Scott Pratt

Imaging technique is applied to two-proton correlation functions to extract quantitative information about the space-time properties of the emitting source and about the fraction of protons that can be attributed to fast emission…

Nuclear Experiment · Physics 2009-11-10 G. Verde , P. Danielewicz , W. G. Lynch , D. A. Brown , C. K. Gelbke , M. B. Tsang , .

The effects of resonances and flow on the correlation function for two identical particles are described assuming chaotic sources and classical propagation of particles. Expanding to second order in relative momenta, the source sizes can be…

High Energy Physics - Phenomenology · Physics 2016-09-01 H. Heiselberg

Two particle correlations are used to extract information about the characteristic size of the system in proton-proton and heavy ion collisions. The size of the system can be extracted from the Bose-Einstein quantum mechanical effect for…

High Energy Physics - Experiment · Physics 2011-01-28 Nicolas Bock

We investigate the functional form of the order-parameter (two-point) correlation function in quantum critical phenomena. Contrary to the common lore, when there is no particle-hole symmetry we find that the equal-time correlation function…

Statistical Mechanics · Physics 2007-07-05 Min-Chul Cha , Gerardo Ortiz

The energy-energy correlation function of the two-dimensional Ising model with weakly fluctuating random bonds is evaluated in the large scale limit. Two correlation lengths exist in contrast to one correlation length in the pure 2D Ising…

Condensed Matter · Physics 2007-05-23 K. Ziegler

We study the reconstruction of the source function in space-time directly from the measured HBT correlation function using the Maximum Entropy Principle. We find that the problem is ill-defined without at least one additional theoretical…

Nuclear Theory · Physics 2007-05-23 Wu Yuanfang , Ulrich Heinz

We compute the exact, all energy scale, 4-point function of the large $N$ double-scaled SYK model, by using only combinatorial tools and relating the correlation functions to sums over chord diagrams. We apply the result to obtain…

High Energy Physics - Theory · Physics 2019-03-27 Micha Berkooz , Mikhail Isachenkov , Vladimir Narovlansky , Genis Torrents

The reliable extraction of information from two-proton correlation functions is a long-standing problem in two-particle interferometry. Recently introduced imaging techniques give one the ability to reconstruct source functions from the…

Nuclear Theory · Physics 2011-07-19 S. Y. Panitkin , D. A. Brown

Two-particle correlations are a widely used tool for studying relativistic nuclear collisions. Multiplicity fluctuations comparing charge and particle species have been studied as a possible signal for Quark-Gluon Plasma (QGP) and the QCD…

Nuclear Theory · Physics 2023-01-09 Mary Cody , Sean Gavin , Brendan Koch , Mark Kocherovsky , Zoulfekar Mazloum , George Moschelli

We calculate the genuine long-range multi-particle rapidity correlation functions, $C_{n}(y_1,...,y_n)$ for $n=3,4,5,6$, originating from fluctuations of the fireball longitudinal shape. In these correlation functions any contribution from…

High Energy Physics - Phenomenology · Physics 2016-02-10 Adam Bzdak , Piotr Bozek

Conformal perturbation theory is a powerful tool to describe the behavior of statistical-mechanics models and quantum field theories in the vicinity of a critical point. In the past few years, it has been extensively used to describe…

High Energy Physics - Lattice · Physics 2019-09-30 M. Caselle , N. Magnoli , A. Nada , M. Panero , M. Scanavino

Femtoscopic interferometry is a powerful tool for probing the spatio-temporal evolution of emission sources in heavy-ion collisions. A major challenge in the field is formulating a self-consistent description of the source function,…

Nuclear Theory · Physics 2026-03-11 Sheng Xiao , Yijie Wang , Zhigang Xiao

The two-particle momentum correlation function of a K^-p pair from high-energy nuclear collisions is evaluated in the KbarN-piSigma-piLambda coupled-channels framework. The effects of all coupled channels together with the Coulomb potential…

Nuclear Theory · Physics 2020-04-13 Yuki Kamiya , Tetsuo Hyodo , Kenji Morita , Akira Ohnishi , Wolfram Weise

I describe a study of the two-point single-eigenvalue distribution correlation function of Polyakov loops in the confined phase of four dimensional SU(N) YM theory at large N. The reasons for the interest in this correlation function are…

High Energy Physics - Lattice · Physics 2014-10-14 Herbert Neuberger

We investigate the two-points correlation function for several boundary-driven interacting particle systems. Our goal is to show that the time evolution of that correlation function is solution to a partial differential equation that can be…

Probability · Mathematics 2024-10-24 P. Gonçalves , B. Salvador

Using two specific models and a model independent formalism, we show that an ``out-longitudinal'' cross term should be included in any gaussian fits to correlation data. In addition, we show that correlation radii (including the cross term)…

High Energy Physics - Phenomenology · Physics 2010-05-27 Scott Chapman , Pierre Scotto , Ulrich Heinz

Angular correlations of high-pT hadrons can serve as a probe of interactions of partons with the dense medium produced in high-energy heavy-ion collisions but other sources of such correlations exist which can be non-negligible SPS…

Nuclear Experiment · Physics 2019-08-14 Marek Szuba

In this paper, we study the truncated two-particle correlation function in particle systems with long range interactions. For Coulombian and soft potentials, we define and give well-posedness results for the equilibrium correlations. In the…

Mathematical Physics · Physics 2018-09-28 Juan J. L. Velázquez , Raphael Winter