Bose-Einstein Correlations for Three-Dimensionally Expanding, Cylindrically Symmetric, Finite Systems

Abstract

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 part of the big and expanding system. The full sizes of the expanding system at the last interaction are shown to be measurable with the help the invariant momentum distribution of the emitted particles. A vanishing duration parameter can also be generated in the considered model-class with a specific $M_t$ dependence.

35 pages, ReVTeX, LaTeX, no figures, discussion extended

References in corpus (11)

• Thermal phenomenology of hadrons from 200 AGeV S+S collisions
• A new cross term in the two-particle Hanbury-Brown-Twiss correlation function
• Quark-Gluon Plasma Freeze-Out from a Supercooled State?
• Extracting Source Parameters from Gaussian Fits to Two-Particle Correlations
• Transverse Momentum Dependence of Hanbury-Brown/Twiss Correlation Radii
• Model Independent Features of the Two-Particle Correlation Function
• HBT Correlators -- Current Formalism vs. Wigner Function Formulation
• Bose-Einstein Correlations for Expanding Finite Systems
• Quantum Statistical Correlations for Slowly Expanding Systems
• Bose-Einstein Correlations for Longitudinally Expanding Finite Systems
• The ``Out-Longitudinal'' Cross Term and Other Model Independent Features of the Two-Particle HBT Correlation Function

Cited by in corpus (154)

• Methods for analyzing anisotropic flow in relativistic nuclear collisions
• Identified Charged Particle Spectra and Yields in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• Femtoscopy in Relativistic Heavy Ion Collisions: Two Decades of Progress
• The Effect of Shear Viscosity on Spectra, Elliptic Flow, and HBT Radii
• Particle Interferometry for Relativistic Heavy-Ion Collisions
• Scaling properties of azimuthal anisotropy in Au+Au and Cu+Cu collisions at sqrt(s_NN) = 200 GeV
• Observable implications of geometrical and dynamical aspects of freeze-out in heavy ion collisions
• Dynamics of Hot Bulk QCD Matter: from the Quark-Gluon Plasma to Hadronic Freeze-Out
• Coalescence and flow in ultra-relativistic heavy ion collisions
• Description of the RHIC p_T-spectra in a thermal model with expansion
• SHARE: Statistical Hadronization with Resonances
• Elliptic Flow and HBT in non-central Nuclear Collisions
• THERMINATOR 2: THERMal heavy IoN generATOR 2
• Therminator: Thermal heavy-Ion generator
• The ALICE experiment: a journey through QCD
• Boson Interferometry in High Energy Physics
• Recent results in relativistic heavy ion collisions: from ``a new state of matter'' to "the perfect fluid"
• Centrality and transverse momentum dependence of $D^0$-meson production at mid-rapidity in Au+Au collisions at $\sqrt{s_{\mathrm{NN}}}=200\mathrm{GeV}$
• Bose-Einstein correlations for Levy stable source distributions
• Strange particle production at RHIC in a single-freeze-out model
• Beam Energy and Centrality Dependence of Two-Pion Bose-Einstein Correlations at SPS Energies
• Primordial hadrosynthesis in the Little Bang
• Universal Pion Freeze-out in Heavy-Ion Collisions
• A Fast Hadron Freeze-out Generator
• Resonance contributions to HBT correlation radii
• Generalized scaling of the transverse mass spectrum at the Relativistic Heavy-Ion Collider
• Femtoscopy in hydro-inspired models with resonances
• Fast hadron freeze-out generator, part II: noncentral collisions
• Probing $\Omega \Omega$ and $p\Omega$ dibaryons with femtoscopic correlations in relativistic heavy-ion collisions
• Indirect observation of an in-medium eta' mass reduction in sqrt(s_{NN})=200 GeV Au+Au collisions
• An experimental review of open heavy flavor and quarkonium production at RHIC
• Simple solutions of relativistic hydrodynamics for systems with ellipsoidal symmetry
• Bose-Einstein correlations of pion pairs in central Pb+Pb collisions at CERN SPS energies
• Direct Emission of multiple strange baryons in ultrarelativistic heavy-ion collisions from the phase boundary
• Bose-Einstein Correlations for Systems with Large Halo
• Simple solutions of relativistic hydrodynamics for longitudinally and cylindrically expanding systems
• Lévy-stable two-pion Bose-Einstein correlations in $\sqrt{s_{{}_{NN}}}=200$ GeV Au$+$Au collisions
• Relativistic viscous hydrodynamics for heavy-ion collisions: A comparison between the Chapman-Enskog and Grad methods
• Higher-order anisotropies in the Blast-Wave Model - disentangling flow and density field anisotropies
• Quantum Statistical Correlations for Slowly Expanding Systems
• Quantum Opacity, the RHIC HBT Puzzle, and the Chiral Phase Transition
• Buda-Lund hydro model for ellipsoidally symmetric fireballs and the elliptic flow at RHIC
• New analytic solutions of the non-relativistic hydrodynamical equations
• Observation of Partial U_A(1) Restoration from Two-Pion Bose-Einstein Correlations
• Indication of quark deconfinement and evidence for a Hubble flow in 130 and 200 GeV Au+Au collisions
• Pion, kaon, and proton femtoscopy in Pb--Pb collisions at $\sqrt{s_{\mathrm{NN}}}$=2.76 TeV modeled in 3+1D hydrodynamics
• Microscopic study of freeze-out in relativistic heavy ion collisions at SPS energies
• Observables and initial conditions for self-similar ellipsoidal flows
• Kaon interferometric probes of space-time evolution in Au+Au collisions at sqrt(s_NN) = 200 GeV
• Thermal analysis of production of resonances in relativistic heavy-ion collisions
• Test of the \boldmath{$\tau$}-Model of Bose-Einstein Correlations and Reconstruction of the Source Function in Hadronic Z-boson Decay at LEP
• Model independent shape analysis of correlations in 1, 2 or 3 dimensions
• Significant in-medium eta' mass reduction in sqrt(s(NN))=200 GeV Au+Au collisions at the BNL Relativistic Heavy Ion Collider
• Excitation Functions of Tsallis-like Parameters in High-Energy Nucleus-Nucleus Collisions
• Two-kaon correlations in central Pb + Pb collisions at 158 A GeV/c
• Reconstructing the Freeze-out State in Pb+Pb Collisions at 158 AGeV/c
• Quark Matter 99 Summary: Hadronic Signals
• The role of elliptic flow correlations in the discovery of the sQGP at RHIC
• Almost exponential transverse spectra from power law spectra
• Comparison of Source Images for protons, ${\pi }^{-}$'s and $\Lambda$'s in 6 AGeV Au+Au collisions
• Testing the Core-Halo Model on Bose-Einstein Correlation Functions
• Phase-space densities and effects of resonance decays in hydrodynamic approach to heavy ion collisions
• Phi, Omega and Rho production from deconfined matter in relativistic heavy ion collisions at CERN SPS
• Study of the transverse mass spectra of strange particles in Pb-Pb collisions at 158 A GeV/c
• Rapidity-dependent spectra from a single-freeze-out model of relativistic heavy-ion collisions
• DRAGON: Monte Carlo generator of particle production from a fragmented fireball in ultrarelativistic nuclear collisions
• Anisotropic Transverse Flow and the HBT Correlation Function
• Reconstructing the final state of Pb+Pb collisions at $\sqrt{s_{NN}}=2.76$ TeV
• Estimation of Hydrodynamical Model Parameters from the Invariant Spectrum and the Bose-Einstein Correlations of pi-mesons Produced in (pi+/K+)p Interactions at 250 GeV/c
• A model comparison of resonance lifetime modifications, a soft equation of state and non-Gaussian effects on $\pi -\pi$ correlations at FAIR/AGS energies
• QCD Challenges from pp to A-A Collisions
• Bose-Einstein correlations of charged hadrons in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Universal scaling of the elliptic flow at RHIC
• Review of HBT or Bose-Einstein correlations in high energy heavy ion collisions
• Universal scaling of the elliptic flow data at RHIC
• Emission times and opacities from interferometry in non-central Relativistic Nuclear Collisions
• Quantum-Statistical Correlations and Single Particle Distributions for Slowly Expanding Systems with Temperature Profile
• Initial energy density of $\sqrt{s}=$ 7 and 8 TeV p+p collisions at the LHC
• Event-by-event investigation of the two-particle source function in heavy-ion collisions with EPOS
• Two-pion femtoscopic correlations in Be+Be collisions at $\sqrt{s_{\text{NN}}}=16.84$ GeV measured by the NA61/SHINE at CERN
• Squeezed correlations of $\varphi$ meson pairs for hydrodynamic sources in high-energy heavy-ion collisions
• Interplay among the azimuthally dependent HBT radii and the elliptic flow
• Transport model study of the $m_T$-scaling for $\Lambda$, K, and $\pi$ HBT-correlations
• Mass dependence of HBT correlations in e^+e^- annihilation
• Inflation of fireballs, the gluon wind and the homogeneity of the HBT radii at RHIC
• Production of resonances in a thermal model: invariant-mass spectra and balance functions
• New exact solutions of relativistic hydrodynamics for longitudinally expanding fireballs
• Single-freeze-out model for ultra relativistic heavy-ion collisions at $\sqrt{s_{\mathrm{NN}}}=2.76$ TeV and the LHC proton puzzle
• Flow effects on the freeze-out phase-space density in heavy ion collisions
• Kinetic freeze-out in central heavy-ion collisions between 7.7 and 2760 GeV per nucleon pair
• The reconstructed final state of Pb + Pb 158 AGeV reactions from spectra and correlation data of NA49, NA44 and WA98
• Event-by-event investigation of the two-particle source function in $\sqrt{s_{{}_{\text{NN}}}}=2.76$ TeV PbPb collisions with EPOS
• Femtoscopy with Lévy sources from SPS through RHIC to LHC
• Simple analytic solution of fireball hydrodynamics
• Accelerating hydrodynamic description of pseudorapidity density and the initial energy density in p+p, Cu+Cu, Au+Au, and Pb+Pb collisions at RHIC and LHC
• Higher Order Bose-Einstein Correlations for Systems with Large Halo
• The Kolmogorov-Smirnov test and its use for the identification of fireball fragmentation
• Pion interferometry with Lévy-stable sources in $\sqrt{s_{NN}}$ = 200 GeV Au+Au collisions at STAR
• Polishing the Lens: I Pionic Final State Interactions and HBT Correlations- Distorted Wave Emission Function (DWEF) Formalism and Examples
• Particle spectra and hydro-inspired models
• Dynamical vs geometric anisotropy in relativistic heavy-ion collisions: which one prevails?
• Indications for a critical point in the phase diagram for hot and dense nuclear matter
• Lifetime estimations from RHIC Au+Au data
• The reconstructed final state of Au + Au collisions from PHENIX and STAR data at sqrt{s}=130 AGeV - indication for quark deconfinement at RHIC
• Anomalous radial expansion in central heavy-ion reactions
• Perturbation solutions of relativistic viscous hydrodynamics for longitudinally expanding fireballs
• Observables and initial conditions for rotating and expanding fireballs with spheroidal symmetry
• A Numerical Study of an Expanding Plasma of Quarks in a Chiral Model
• Centrality dependent Lévy-stable two-pion Bose-Einstein correlations at the PHENIX experiment
• Hydrodynamic Parameterization of NA44 Data on Kaon and Pion Correlations and Spectra
• Femtoscopic correlation measurement with symmetric Lévy-type source at NA61/SHINE
• (Anti)Proton and Pion Source Sizes and Phase Space Densities in Heavy Ion Collisions
• Higher order anisotropies in the Buda-Lund model: Disentangling flow and density field anisotropies
• Two-particle Bose-Einstein correlations and their Lévy parameters in PbPb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV
• Transverse dynamics of Pb-Pb collisions at 40 A GeV/c viewed by strange hadrons
• Centrality dependence of Lévy-stable two-pion Bose-Einstein correlations in $\sqrt{s_{{}_{NN}}}=200$ GeV Au$+$Au collisions
• Evolution of collectivity as a signal of quark gluon plasma formation in heavy ion collisions
• Simple solutions of fireball hydrodynamics for rotating and expanding triaxial ellipsoids and final state observables
• Analysis of identified particle yields and Bose-Einstein (HBT) correlations in p+p collisions at RHIC
• Stable Bose-Einstein correlations
• Kaon femtoscopy with Lévy-stable sources from $\sqrt{s_{{}_{\mathrm{NN}}}}=200$ GeV $\mathrm{Au}+\mathrm{Au}$ collisions at RHIC
• Strange Particle Production and Elliptic Flow from CERES
• Kaonic Hanbury-Brown-Twiss radii at 200 GeV and 5.02 TeV
• Lévy femtoscopy with PHENIX at RHIC
• Scaling properties of spectra in new exact solutions of rotating, multi-component fireball hydrodynamics
• Thermal description of transverse-momentum spectra at RHIC
• Effect of in-medium mass-shift on transverse-momentum spectrum and elliptic anisotropy of $\varphi$ meson
• Charged Kaon Femtoscopy with Lévy Sources in $\sqrt{s_{\text{NN}}}$ = 200 GeV Au+Au Collisions at PHENIX
• Elliptic flow of deuterons in ultrarelativistic heavy-ion collisions
• Locally anisotropic momentum distributions of hadrons at freeze-out in relativistic heavy-ion collisions
• Characterizing quark gluon plasma by dilepton interferometry
• Levy HBT results at NA61/SHINE
• Collective dynamics of the fireball
• Hanbury Brown-Ttiss Correlation Functions from Event Generators: A Reliable Approach to Determine the Size of the Emitting Source in Ultrarelativistic Heavy Ion Collisions?
• Space-time structure of particle emission and femtoscopy scales in ultrarelativistic heavy-ion collisions
• Centrality-dependent Lévy HBT analysis in $\sqrt{s_{{}_{\text{NN}}}}=5.02$ TeV PbPb collisions at CMS
• Femtoscopy analysis in small systems at NA61/SHINE
• Locating fixed points in the phase plane
• Baryon femtoscopy in sqrt(sNN) = 2.76 TeV Pb-Pb collisions at ALICE
• Femtoscopy at NA61/SHINE using symmetric Lévy sources in central ${}^{40}$Ar+${}^{45}$Sc from 40$A$ GeV/$c$ to 150$A$ GeV/$c$
• Production of resonances in a thermal model
• Universal scaling of the rapidity dependent elliptic flow and the perfect fluid at RHIC
• Lepton interferometry in relativistic heavy ion collisions - a case study
• Flow Buildup in a Mixed Phase of Quark-Gluon Plasma Plus Hadrons
• Hadron momentum spectra from analytical solutions of relativistic hydrodynamics
• Formulation of relativistic dissipative fluid dynamics and its applications in heavy-ion collisions
• Analytic model studies of polarized baryon production
• Geometry of particle emission in UrQMD Ar+Sc collisions at SPS energies
• Radiation pattern and source size of particles in nanoplasmonic fusion
• Two Photon Correlation in Anisotropic Quark-gluon plasma (aQGP)
• A Particle Emitting Source From an Accelerating, Perturbative Solution of Relativistic Hydrodynamics
• How to locate the QCD phase boundary by scanning observable in the phase plane
• A hint at quark deconfinement in 200 GeV Au+Au data at RHIC
• Extracting temperature and transverse flow by fitting transverse mass spectra and HBT radii together