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A generic, model-independent method for the analysis of the two-particle short-range correlations is presented, that can be utilized to describe e.g. Bose-Einstein (HBT or GGLP), statistical, dynamical or other short-range correlation…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. Csorgo , A. T. Szerzo

The shape of Bose-Einstein (or HBT) correlation functions is determined for the case when particles are emitted from a stable source, obtained after convolutions of large number of elementary random processes. The two-particle correlation…

Nuclear Theory · Physics 2007-05-23 T. Csorgo , S. Hegyi , W. A. Zajc

The Hanbury-Brown Twiss correlation function for two identical particles is studied for systems with cylindrical symmetry. Its shape for small values of the relative momentum is derived in a model independent way. In addition to the usual…

High Energy Physics - Phenomenology · Physics 2022-02-23 Scott Chapman , Pierre Scotto , Ulrich Heinz

We present detailed calculations about the expected shape of two-pion Bose-Einstein (or HBT) correlations in high energy heavy ion collisions that include a realistic treatment of final state Coulomb interaction as well as strong…

High Energy Physics - Phenomenology · Physics 2023-09-27 D. Kincses , M. I. Nagy , M. Csanád

The peak of the two-particle Bose-Einstein correlation functions has a very interesting structure. It is often believed to have a multivariate Gaussian form. We show here that for the class of stable distributions, characterized by the…

Nuclear Theory · Physics 2009-11-10 T. Csorgo , S. Hegyi , W. A. Zajc

The Monte Carlo toy model of Bose-Einstein correlations is considered to make a best choice from different reference distributions. It occurs that the minimal bias in the Bose-Einstein correlation parameters estimation is provided by the…

High Energy Physics - Phenomenology · Physics 2012-12-13 V. A. Schegelsky

The correlation function measured in ultrarelativistic nuclear collisions is strongly non-Gaussian. Using two different models we study which effects can influence its shape and how much. In particular, we focus on the parametrizations…

Nuclear Theory · Physics 2021-01-08 Jakub Cimerman , Chrisopher Plumberg , Boris Tomášik

The usual chi-squared method of fit quality assessment is a special case of the more general method of Bayesian model comparison which involves integrals of the likelihood and prior over all possible values of all parameters. We introduce…

Nuclear Theory · Physics 2012-06-11 Michiel B. De Kock , Hans C. Eggers , Tamás Csörgő

Bose-Einstein correlations of identical bosons reveal information about the space-time structure of particle emission from the sQGP formed in ultra-relativistic heavy-ion collisions. Previous measurements of two particle correlations have…

Nuclear Experiment · Physics 2020-05-22 Bálint Kurgyis

Bose-Einstein (or HBT) correlation functions are evaluated for the fractal structure of QCD jets. These correlation functions have a stretched exponential (or Levy-stable) form. The anomalous dimension of QCD determines the Levy index of…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Csorgo , S. Hegyi , T. Novak , W. A. Zajc

We present most recent PHENIX preliminary data on centrality dependence of two-pion Bose-Einstein correlation functions measured in \sqrt{sNN}=200 GeV Au+Au collisions at the Relativistic Heavy Ion Collider (RHIC). The data are well…

Nuclear Experiment · Physics 2023-04-20 Tamas Novak

There are two length-scales present simultaneously in all the principal directions for three-dimensionally expanding, finite systems. These are discussed in detail for the case of a longitudinally expanding system with a transverse flow and…

High Energy Physics - Phenomenology · Physics 2009-10-28 T. Csorgo , B. Lorstad

Bose-Einstein correlations and momentum distributions are calculated for longitudinally expanding systems, like jets or high energy heavy ion collisions with light projectiles. The expansion generates a thermal length-scale in the…

High Energy Physics - Phenomenology · Physics 2009-10-28 T. Csorgo

For particles emerging from a second order QCD phase transition, we show that a recently introduced shape parameter of the Bose-Einstein correlation function, the Levy index of stability equals to the correlation exponent - one of the…

Nuclear Theory · Physics 2017-08-23 T. Csorgo , S. Hegyi , T. Novak , W. A. Zajc

In this paper approximation methods for infinite-dimensional Levy processes, also called (time-dependent) Levy fields, are introduced. For square integrable fields beyond the Gaussian case, it is no longer given that the one-dimensional…

Probability · Mathematics 2017-12-14 Andrea Barth , Andreas Stein

The correlation function measured in ultrarelativistic nuclear collisions is non-Gaussian. By making use of models we discuss and assess how much various effects can influence its shape. In particular, we focus on the parametrisations…

Nuclear Theory · Physics 2020-12-09 Jakub Cimerman , Boris Tomášik , Christopher Plumberg

This study is devoted to a detailed numerical testing of the analytical results obtained recently for the $M_t$-scaling of the parameters of the Bose-Einstein correlation functions. Numerical testing of analytical results for the spectrum…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Csorgo , P. Levai , B. Lorstad

The correlation functions for models of minimal gravity are discussed. An algorithm is proposed for calculations of invariant ratios from formulas of residues that can be compared with the coefficients of expansion of the partition function…

High Energy Physics - Theory · Physics 2015-06-11 O. Kruglinskaya

The momentum- and frequency-dependent one-body correlation function of the one-dimensional interacting Bose gas (Lieb-Liniger model) in the repulsive regime is studied using the Algebraic Bethe Ansatz and numerics. We first provide a…

Statistical Mechanics · Physics 2011-02-16 Jean-Sebastien Caux , Pasquale Calabrese , Nikita A. Slavnov

Using the two-component model, we analyze Bose-Einstein correlations in pp collisions at the center-of-mass energy of 13 TeV, measured by the CMS Collaboration at the LHC, and compare results with the $\tau$-model. We utilize data described…

High Energy Physics - Phenomenology · Physics 2023-07-06 Takuya Mizoguchi , Seiji Matsumoto , Minoru Biyajima
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