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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

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

Taking up and extending earlier suggestions, we show how two- and threedimensional shapes of second-order HBT correlations can be described in a multivariate Edgeworth expansion around gaussian ellipsoids, with expansion coefficients,…

Nuclear Theory · Physics 2011-08-04 H. C. Eggers , P. Lipa

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

The parameters of the Bose-Einstein correlation function may obey an {\it $M_t$-scaling}, as observed in $S + Pb$ and $Pb + Pb$ reactions at CERN SPS. This $M_t$-scaling implies that the Bose-Einstein correlation functions view only a small…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Csorgo , B. Lorstad

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

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

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

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

Numerous models have been proposed to describe the Bose-Einstein correlations in multiple particle production processes. In the present paper we describe a generalization, which includes many previous models as special cases and, therefore,…

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

Two-particle correlation functions are calculated for bosons emitted from a localized thermal source (the ``glow'' of a ``hot spot''). In contrast to existing work, non-equilibrium effects up to first order in gradients of the particle…

Nuclear Theory · Physics 2022-02-23 P. A. Henning , Ch. Hoelbling , M. Blasone , L. V. Razumov

Shapes of relative emission sources can be accessed by expanding shapes of correlations at low relative velocities in pair center of mass in Cartesian harmonics. Coefficients of expansion for correlations are related to the respective…

Nuclear Theory · Physics 2007-07-04 P. Danielewicz

For analyzing anisotropic low relative-velocity correlation-functions and the associated emission sources, we propose an expansion in terms of cartesian spherical harmonics. The expansion coefficients represent angular moments of the…

Nuclear Theory · Physics 2007-05-23 P. Danielewicz , S. Pratt

A low-energy shape-independent expansion is suggested for the function $[tan(2\epsilon_{BB})/(2k^2)]$, where $\epsilon_{BB}$ is the Blatt-Biedenharn mixing parameter for the $^3S_1 -$ $^3D_1$ channel. This expansion allows an evaluation of…

Nuclear Theory · Physics 2009-07-28 Sadhan K. Adhikari , Lauro Tomio , J. P. B. C. DE Melo , T. Frederico

Bose-Einstein correlations in relativistic heavy ion collisions are examined in a general model containing the essential features of hydrodynamical, cascade as well as other models commonly employed for describing the particle freeze-out.…

Nuclear Theory · Physics 2009-10-30 H. Heiselberg , A. P. Vischer

We propose extension of the numerical method to model effect of Bose-Einstein correlations (BEC) observed in hadronization processes which allows for calculations not only correlation functions $C_2(Q_{inv})$ (one-dimensional) but also…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. V. Utyuzh , G. Wilk , Z. Wlodarczyk

The GGLP approach to Bose-Einstein correlations, a hydrodynamic model and a string model are briefly reviewed. The implications of the two models for the Bose-Einstein correlations among the decay products of a pair of W bosons are…

High Energy Physics - Phenomenology · Physics 2009-10-31 Kacper Zalewski

The method used earlier for analysis of correlated nanoscopic systems is extended to infinite (periodic) s-band like systems described by the Hubbard model and its extensions. The optimized single-particle wave functions contained in the…

Strongly Correlated Electrons · Physics 2009-02-18 Jan Kurzyk , Włodzimierz Wójcik , Jozef Spałek

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

In the framework of the ab-initio no-core shell model (NCSM), we describe the longitudinal-longitudinal distribution function, part of the inclusive (e,e') longitudinal response. In the two-body cluster approximation, we compute the…

Nuclear Theory · Physics 2007-05-23 Ionel Stetcu , Bruce R. Barrett , Petr Navratil , James P. Vary
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