Anomalous diffusion of pions at RHIC

Csanád, M.; Csörgő, T.; Nagy, M. I.

doi:10.1590/s0103-97332007000600018

Cited by 46 publications

(40 citation statements)

References 24 publications

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“…In an expandig system, the mean free path is increasing as the system expands. In such case a generalized form of the central limit theorem leads to the appearance of the Lévy distribution as source function [4][5][6]. The one-dimensional, symmetric Lévy distribution is defined by a Fourier transform:…”

Section: Two-particle Correlation Functions and The Lévy Distributionmentioning

confidence: 99%

“…Moreover, it could be associated to one of the critical exponents namely to the critical exponent of the spatial correlation in 3 dimension [4]. Because of this possible relation between the two exponents, the measurements of α could help to locate the critical point on the phase diagram of the QCD if there is any [4,6,18]. The critical exponent of the spatial correlation could vary near to a critical point.…”

Section: Two-particle Correlation Functions and The Lévy Distributionmentioning

confidence: 99%

“…PHENIX found evidence for power-law tails in the source distribution for pions [3]. To understand the underlying processes better one has to go beyond the Gaussian approximation to a more general distribution: the Lévy distribution [4][5][6].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Centrality Dependent Lévy-Stable Two-Pion Bose-Einstein Correlations in \( {\sqrt{s_{NN}}} \) = 200 GeV Au+Au Collisions at the PHENIX Experiment

Lökòs

2018

Universe

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Investigation of femtoscopic correlation functions in relativistic heavy ion reactions is an important tool to access the space-time structure of particle production in the strongly interacting Quark Gluon Plasma (sQGP). The shape of the source, and thus the shape of the correlation functions, is often assumed to be Gaussian, but experimental results found evidence for heavy tails in the source distribution of pions. Recent analysis revealed that the statistically correct assumption could be the so-called Lévy distribution. The detailed investigation of correlation functions in various systems may shed light on the location of the critical endpoint on QCD (Quantum Chromodynamics) phase diagram. It could also reveal if there is partially coherent pion production or could indicate the possible in-medium mass modification of the η meson due to the (partial) restoration of the U A (1) axial symmetry. These phenomena could depend on the system size and on the collision energy. A detailed centrality-dependent analysis could explore the multiplicity dependencies of the Lévy parameters, and thus the critical and thermodynamical properties of the sQGP, and could give information about the above mentioned processes. In this paper, we present the status of the centrality dependent measurements of two-pion Lévy Bose-Einstein correlation functions √ s NN = 200 GeV Au+Au collisions at PHENIX.

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Section: Two-particle Correlation Functions and The Lévy Distributionmentioning

confidence: 99%

Section: Two-particle Correlation Functions and The Lévy Distributionmentioning

confidence: 99%

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Centrality Dependent Lévy-Stable Two-Pion Bose-Einstein Correlations in \( {\sqrt{s_{NN}}} \) = 200 GeV Au+Au Collisions at the PHENIX Experiment

Lökòs

2018

Universe

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“…In previous years, Gaussian-type sources were usually utilized to describe the correlation functions, but the latest results from the PHENIX experiment showed that we can and have to go beyond the Gaussian approximation [6,7]. In an expanding medium, on the basis of the generalized central limit theorem and the anomalous diffusion we can expect the appearance of Lévy-type sources [8,9]. The symmetric Lévy distribution is the generalization of the Gaussian distribution and it is defined by the following expression:…”

Section: Introductionmentioning

confidence: 99%

Lévy Analysis of HBT Correlation Functions in s N N = 62 GeV and 39 GeV Au + Au Collisions at PHENIX

Kincses

2018

Universe

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Abstract:The phase diagram of strongly interacting matter can be explored by analyzing data of heavy-ion collisions at different center of mass collision energies. For investigating the space-time structure of the hadron emission source, Bose-Einstein or HBT correlation measurements are among the best tools. In this paper we present the latest results from the PHENIX experiment of the Relativistic Heavy Ion Collider (RHIC) on such measurements in √ s NN = 39 GeV and 62 GeVAu + Au collisions.

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“…This may be connected to the non-applicability of the central limit theorem, and the appearance of anomalous diffusion, resulting in a Lévy type of distributions [12,[15][16][17]. These can be expressed as…”

Section: Introductionmentioning

confidence: 99%

Recent results on Bose-Einstein correlations by the PHENIX Experiment

Greene¹

2018

Proceedings of Critical Point and Onset of Deconfinement — PoS(CPOD2017)

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We present the measurement of charged pion two-particle correlation functions in √ s NN = 39, 62 and 200 GeV Au+Au collisions. The measured correlation functions for all collision energies, centralities and average transverse masses can be statistically well described by Bose-Einstein correlation functions from Lévy-shaped source distributions. We extract the correlation strength parameter λ , Lévy index α and Lévy scale parameter R as functions of average pair transverse mass. We observe that the Lévy index α differs from the Gaussian case of α = 2 and also from the conjectured value at the critical point. The correlation strength λ shows a decrease for small transverse masses, which may be in conjunction with an increased number of decay pions in the given kinematic domain. The Lévy scale R shows a hydrodynamic type of scaling behavior. Furthermore, the appearance of a new scaling variable R is observed.

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Anomalous diffusion of pions at RHIC

Cited by 46 publications

References 24 publications

Centrality Dependent Lévy-Stable Two-Pion Bose-Einstein Correlations in \( {\sqrt{s_{NN}}} \) = 200 GeV Au+Au Collisions at the PHENIX Experiment

Centrality Dependent Lévy-Stable Two-Pion Bose-Einstein Correlations in \( {\sqrt{s_{NN}}} \) = 200 GeV Au+Au Collisions at the PHENIX Experiment

Lévy Analysis of HBT Correlation Functions in s N N = 62 GeV and 39 GeV Au + Au Collisions at PHENIX

Recent results on Bose-Einstein correlations by the PHENIX Experiment

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