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Higher order anisotropies in the Buda-Lund model: Disentangling flow and density field anisotropies
Nuclear Theory · Submitted 25 Apr 2016
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In this paper we detail an extension of the Buda-Lund model to multipole anisotropies and investigate the resulting flow coefficients and oscillations of HBT radii.
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The abstract, sentence by sentence
The Buda-Lund hydro model describes an expanding ellipsoidal fireball, and fits the observed elliptic flow and oscillating HBT radii successfully. Due to fluctuations in energy depositions, the fireball shape however fluctuates on an event-by-event basis. The transverse plane asymmetry can be translated into a series of multipole anisotropy coefficients. These anisotropies then result in measurable momentum-space anisotropies, to be measured with respect to their respective symmetry planes. In this paper we detail an extension of the Buda-Lund model to multipole anisotropies and investigate the resulting flow coefficients and oscillations of HBT radii.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The Buda-Lund hydro model describes an expanding ellipsoidal fireball, and fits the observed elliptic flow and oscillating HBT radii successfully. | background 1.00 | 0.22 | 0.07 | asserted 1.00 |
| s1 | Due to fluctuations in energy depositions, the fireball shape however fluctuates on an event-by-event basis. | background 0.92 | 0.09 | 0.02 | asserted 1.00 |
| s2 | The transverse plane asymmetry can be translated into a series of multipole anisotropy coefficients. | background 0.92 | 0.10 | 0.04 | asserted 0.97 |
| s3 | These anisotropies then result in measurable momentum-space anisotropies, to be measured with respect to their respective symmetry planes. | background 0.94 | 0.10 | 0.06 | asserted 0.99 |
| s4 | In this paper we detail an extension of the Buda-Lund model to multipole anisotropies and investigate the resulting flow coefficients and oscillations of HBT radii. | contribution 1.00 | 0.93 | 0.17 | asserted 0.95 |
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The paper
Original abstract
The Buda-Lund hydro model describes an expanding ellipsoidal fireball, and fits the observed elliptic flow and oscillating HBT radii successfully. Due to fluctuations in energy depositions, the fireball shape however fluctuates on an event-by-event basis. The transverse plane asymmetry can be translated into a series of multipole anisotropy coefficients. These anisotropies then result in measurable momentum-space anisotropies, to be measured with respect to their respective symmetry planes. In this paper we detail an extension of the Buda-Lund model to multipole anisotropies and investigate the resulting flow coefficients and oscillations of HBT radii.
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References
How the literature uses it
2 arXiv papers cite this in 3 sentences
What it cites · 17 sentences without a confident label
Builds on 2 papers
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With the extended model we pushed further the study that has been started in [ref] .
0801.44340 · Conclusions · 1.00
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A triangular deformation (third order) can also be introduced as [equation] The extension to asymmetry of arbitrary order is straightforward [equation] similarly to Ref. [ref] .
Multipole solution of hydrodynamics and higher order harmonics · The Buda-Lund model · 0.80
Uses the method or tool of 3 papers
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Here we will use a model that is in close connection to exact solutions of hydrodynamics as well—the Buda-Lund model [ref] .
Bose-Einstein Correlations for Three-Dimensionally Expanding, Cylindrically Symmetric, Finite Systems · Introduction · 0.90
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Here we will use a model that is in close connection to exact solutions of hydrodynamics as well—the Buda-Lund model [ref] .
Buda-Lund hydro model for ellipsoidally symmetric fireballs and the elliptic flow at RHIC · Introduction · 0.90
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Perhaps a way to select events for such an analysis can be provided by the recently proposed Event Shape Sorting [ref] .
Event shape sorting · Correlation radii · 0.81
Uses data or values from 3 papers
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Based on Fig. [ref], such an approximation may be valid if $ξ_3$, the amplitude of third order oscillations in the local valocity distribution does not exceed the relative error of the experimental determination of the HBT radii, corresponding to 5-10 % in the case of a recently published measurement of pion and kaon correlations [ref] .
1504.05168 · Correlation radii · 0.95
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In our calculations we chose the values of parameters that are motivated by earlier fits to data [ref] .
Spectra, elliptic flow and azimuthally sensitive HBT radii from Buda-Lund model for sqrt(s(NN)) = 200 GeV Au+Au collisions · Single particle distributions · 0.86
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In our calculations we chose the values of parameters that are motivated by earlier fits to data [ref] .
Indication of quark deconfinement and evidence for a Hubble flow in 130 and 200 GeV Au+Au collisions · Single particle distributions · 0.86
Cites as background 6 papers
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It has been investigated in the past how they both individually contribute to the second-order anisotropy of single-particle distributions and oscillations of correlation radii in femtoscopy [ref] .
0801.44340 · Introduction · 0.91
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It has been investigated in the past how they both individually contribute to the second-order anisotropy of single-particle distributions and oscillations of correlation radii in femtoscopy [ref] .
Spectra, elliptic flow and azimuthally sensitive HBT radii from Buda-Lund model for sqrt(s(NN)) = 200 GeV Au+Au collisions · Introduction · 0.91
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Although resonances are not included in our current investigation, we note that the core-halo model was developed to correct the hydrodynamical and phenomenological calculations, similar to the ones presented here, to take into account the effects of decays from long-lived resonances [ref] .
Bose-Einstein Correlations for Systems with Large Halo · Introduction · 0.93
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