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Two basic correlation functions are calculated for a model of $N$ harmonically interacting identical particles in a parabolic potential well. The density and the pair correlation function of the model are investigated for the boson case.…

Statistical Mechanics · Physics 2009-10-30 F. Brosens , J. T. Devreese , L. F. Lemmens

One method for determining the characteristic parameters of a hadron production source is to measure the Bose-Einstein correlation functions. In this study, we present fundamental concepts and formulas related to the Bose-Einstein…

High Energy Physics - Phenomenology · Physics 2025-01-22 Hai-Ming Hu , Guang-Shun Huang

Correlations among identical bosons, which are familiar from statistical physics, play an increasingly important role in high energy multiple particle production processes. They provide information about the region, where the particles are…

High Energy Physics - Phenomenology · Physics 2007-05-23 Kacper Zalewski

We find numerically that in the limit of weak atom-atom interactions a Bose-Einstein condensate in an optical lattice may develop a pulsating dynamical instability in which the atoms nearly periodically form a peak in the occupation numbers…

Other Condensed Matter · Physics 2009-11-13 Uttam Shrestha , Marijan Kostrun , Juha Javanainen

Power-law tail behavior and the summation scheme of Levy-stable distributions is the basis for their frequent use as models when fat tails above a Gaussian distribution are observed. However, recent studies suggest that financial asset…

Condensed Matter · Physics 2016-12-21 Rafal Weron

The phenomenon of Bose-Einstein condensation is investigated in the context of the Color-Glass-Condensate description of the initial state of ultrarelativistic heavy-ion collisions. For the first time, in this paper we study the influence…

High Energy Physics - Phenomenology · Physics 2019-11-20 Richard Lenkiewicz , Alex Meistrenko , Hendrik van Hees , Kai Zhou , Zhe Xu , Carsten Greiner

Asymptotic behavior of a class of nonlinear Schr\"odinger equations are studied. Particular cases of 1D weakly focusing and Bose-Einstein condensates are considered. A statistical approach is presented to describe the stationary probability…

Condensed Matter · Physics 2009-11-10 Christophe Josserand

We derive new features of Bose-Einstein correlations by means of Quantum Field Theory at finite temperature, supplemented by operator-field evolution approach. The origin of the dependence of the measured two-particle correlation function…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. A. Kozlov

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

A two-component Bose-Einstein condensate of cold atoms with a strong intercomponent repulsion leading to the spatial separation of the components has been numerically studied. Configurations with a multiple quantized vortex in one…

Quantum Gases · Physics 2021-07-21 Victor P. Ruban

We study the properties of Bose-Einstein Condensate (BEC) systems consisting of two scalars, focusing on both the case where the BEC is stellar scale as well as the case when it is galactic scale. After studying the stability of such…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-08 Huai-Ke Guo , Kuver Sinha , Chen Sun , Joshua Swaim , Daniel Vagie

The Bose-Einstein correlation (BEC) in forward region ($2.0<\eta<4.8$) measured at 7 TeV in the Large Hadron Collider (LHC) by the LHCb collaboration is analyzed using two conventional formulas of different types named CF$_{\rm I}$ and…

High Energy Physics - Phenomenology · Physics 2020-05-20 Takuya Mizoguchi , Minoru Biyajima

Multi-boson symmetrization effects on two-particle Bose-Einstein interferometry are studied for ensembles with arbitrary multiplicity distributions. This generalizes the previously studied case of a Poissonian input multiplicity…

High Energy Physics - Phenomenology · Physics 2009-10-09 Ulrich Heinz , Pierre Scotto , Qing-Hui Zhang

We discuss the properties of an ideal relativistic gas of events possessing Bose-Einstein statistics. We find that the mass spectrum of such a system is bounded by $\mu \leq m\leq 2M/\mu _K,$ where $\mu $ is the usual chemical potential,…

High Energy Physics - Theory · Physics 2014-11-18 L. Burakovsky , L. P. Horwitz , W. C. Schieve

We investigate pattern formation in two-dimensional Bose-Einstein condensates (BECs) caused by periodic driving of the interatomic interaction. We show that this modulation generically leads to a stable square grid density pattern, due to…

Recent experimental studies of Bose-Einstein Correlations in Z fragmentation are reviewed in view of the need to understand their apparent suppression for pions originating from different W's. Particular features discussed are source…

High Energy Physics - Phenomenology · Physics 2014-11-17 Wolfram Kittel

The analytical probability distribution of finite systems obeying Bose-Einstein statistics in one, two, and three dimensions are investigated by using a canonical ensemble approach. Starting from the canonical partition function of the…

Soft Condensed Matter · Physics 2007-05-23 Hongwei Xiong , Shujuan Liu , Guoxiang Huang , FengMin Wu , Zhijun Xu

A $\phi$-exponential distribution is a generalization of an exponential distribution associated to functions $\phi$ in an appropriate class, and the space of $\phi$-exponential distributions has a dually flat structure. We study features of…

Metric Geometry · Mathematics 2011-10-03 Asuka Takatsu

Bose-Einstein correlations and invariant momentum distributions are analyzed for longitudinally expanding finite systems, like jets in elementary particle collisions or systems created in high energy heavy ion reactions. Cross-term…

High Energy Physics - Phenomenology · Physics 2008-02-03 T. Csorgo , B. Lorstad

Fluctuation properties of the Langevin equation including a multiplicative, power-law noise and a quadratic potential are discussed. The noise has the Levy stable distribution. If this distribution is truncated, the covariance can be…

Statistical Mechanics · Physics 2015-06-15 Tomasz Srokowski
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