1,099 research outputs found
Stable Bose-Einstein correlations
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 function is shown to have a {\it stretched exponential} shape,
characterized by the L\'evy index of stability and the
scale parameter . The normal, Gaussian shape corresponds to a particular
case, when is selected. The asymmetry parameter of the stable
source, is shown to be proportional to the angle, measured by the
normalized three-particle cumulant correlations.Comment: 7 pages, no figures, invited talk of T. Csorgo at the 2nd Warsaw
Meeting on Particle Correlations and Resonances in HIC, see
http://hirg.if.pw.edu.pl/en/meeting/oct2003/talks/csorgo/Csorgo.pp
Scaling Laws in Hierarchical Clustering Models with Poisson Superposition
Properties of cumulant- and combinant ratios are studied for multihadron
final states composed of Poisson distributed clusters. The application of these
quantities to ``detect'' clusters is discussed. For the scaling laws which hold
in hierarchical clustering models (void scaling, combinant scaling) a
generalization is provided. It is shown that testing hierarchical models is
meaningful only for phase-space volumes not larger than the characteristic
correlation length introduced by Poisson superposition. Violation of the
scaling laws due to QCD effects is predicted.Comment: 14 pages, Plain TeX, no figure
H-function extension of the NBD: further applications
The H-function extension of the Negative Binomial Distribution is
investigated for scaling exponents mu<0. Its analytic form is derived via a
convolution property of the H-function. Applications are provided using
multihadron and galaxy count data for P(n).Comment: 6 pages REVTeX, 3 figure
Bose-Einstein or HBT correlations and the anomalous dimension of QCD
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 stability, thus the running coupling constant of QCD becomes measurable with
the help of two-particle Bose-Einstein correlation functions. These
considerations are tested on NA22 and UA1 two-pion correlation data.Comment: 8 pages, 5 figures, presented by T. Csorgo at the XXXIV International
Symposium on Multiparticle Dynamics, Sonoma County, California, USA, July
2004, to appear in Acta Physica Polonica
Bose-Einstein or HBT correlation signature of a second order QCD phase transition
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 critical exponents that characterize the behavior of the matter in the
vicinity of the second order phase transition point. Hence the shape of the
Bose-Einstein / HBT correlation functions, when measured as a function of
bombarding energy and centrality in various heavy ion reactions, can be
utilized to locate experimentally the second order phase transition and the
critical end point of the first order phase transition line in QCD.Comment: 8 pages, talk given by T. Csorgo at the Workshop on Particle
Correlations and Femtoscopy 2005, Kromeriz, Czech Republic, August 200
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