DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: ( 3 + 1 ) -D viscous hydrodynamics at finite net baryon density: Identified particle spectra, anisotropic flows, and flow fluctuations across energies relevant to the beam-energy scan at RHIC

Abstract

To study the bulk properties of quark-gluon plasma produced at beam-energy scan (BES) energies at the Relativistic Heavy Ion Collider (RHIC), we extend the (3+1)-dimensional viscous hydrodynamics clvisc to include net baryon number conservation and Israel-Stewart-like equations for baryon diffusion with the neos-bqs equation of state, fluctuating initial conditions from the Monte Carlo Glauber model and the afterburner smash. This integrated framework is shown to provide a good description of identified particle spectra, mean transverse momenta, and anisotropic flows for different centralities and over a wide range of collision energies (7.7-62.4 GeV). It is found that the mean momenta of identified particles and anisotropic flows increase mildly with the collision energy due to larger radial flow. We further compute the multiple-particle cumulant ratio v2{4}/v2{2} of elliptic flow across BES energies, and find that the relative fluctuations of elliptic flow are insensitive to the collision energy, consistent with the preliminary STAR data. Our model provides a benchmark for understanding the RHIC-BES data and studying the critical properties and phase structure of hot and dense QCD matter.

Authors:
ORCiD logo; ORCiD logo; ;
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF); National Natural Science Foundation of China (NSFC)
OSTI Identifier:
1859798
Alternate Identifier(s):
OSTI ID: 1884549
Grant/Contract Number:  
AC0205CH11231; AC02-05CH11231; ACI-1550228; OAC-2004571; 11775095; 11890710; 11890711; 11935007; 12075098; 11221504; 11861131009; 11890714
Resource Type:
Published Article
Journal Name:
Physical Review C
Additional Journal Information:
Journal Name: Physical Review C Journal Volume: 105 Journal Issue: 3; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Wu, Xiang-Yu, Qin, Guang-You, Pang, Long-Gang, and Wang, Xin-Nian. ( 3 + 1 ) -D viscous hydrodynamics at finite net baryon density: Identified particle spectra, anisotropic flows, and flow fluctuations across energies relevant to the beam-energy scan at RHIC. United States: N. p., 2022. Web. doi:10.1103/PhysRevC.105.034909.
Wu, Xiang-Yu, Qin, Guang-You, Pang, Long-Gang, & Wang, Xin-Nian. ( 3 + 1 ) -D viscous hydrodynamics at finite net baryon density: Identified particle spectra, anisotropic flows, and flow fluctuations across energies relevant to the beam-energy scan at RHIC. United States. https://doi.org/10.1103/PhysRevC.105.034909
Wu, Xiang-Yu, Qin, Guang-You, Pang, Long-Gang, and Wang, Xin-Nian. Tue . "( 3 + 1 ) -D viscous hydrodynamics at finite net baryon density: Identified particle spectra, anisotropic flows, and flow fluctuations across energies relevant to the beam-energy scan at RHIC". United States. https://doi.org/10.1103/PhysRevC.105.034909.
@article{osti_1859798,
title = {( 3 + 1 ) -D viscous hydrodynamics at finite net baryon density: Identified particle spectra, anisotropic flows, and flow fluctuations across energies relevant to the beam-energy scan at RHIC},
author = {Wu, Xiang-Yu and Qin, Guang-You and Pang, Long-Gang and Wang, Xin-Nian},
abstractNote = {To study the bulk properties of quark-gluon plasma produced at beam-energy scan (BES) energies at the Relativistic Heavy Ion Collider (RHIC), we extend the (3+1)-dimensional viscous hydrodynamics clvisc to include net baryon number conservation and Israel-Stewart-like equations for baryon diffusion with the neos-bqs equation of state, fluctuating initial conditions from the Monte Carlo Glauber model and the afterburner smash. This integrated framework is shown to provide a good description of identified particle spectra, mean transverse momenta, and anisotropic flows for different centralities and over a wide range of collision energies (7.7-62.4 GeV). It is found that the mean momenta of identified particles and anisotropic flows increase mildly with the collision energy due to larger radial flow. We further compute the multiple-particle cumulant ratio v2{4}/v2{2} of elliptic flow across BES energies, and find that the relative fluctuations of elliptic flow are insensitive to the collision energy, consistent with the preliminary STAR data. Our model provides a benchmark for understanding the RHIC-BES data and studying the critical properties and phase structure of hot and dense QCD matter.},
doi = {10.1103/PhysRevC.105.034909},
journal = {Physical Review C},
number = 3,
volume = 105,
place = {United States},
year = {Tue Mar 29 00:00:00 EDT 2022},
month = {Tue Mar 29 00:00:00 EDT 2022}
}

Works referenced in this record:

Vortical Fluid and Λ Spin Correlations in High-Energy Heavy-Ion Collisions
journal, November 2016


Eccentric Protons? Sensitivity of Flow to System Size and Shape in p + p , p + Pb , and Pb + Pb Collisions
journal, September 2014


Recent development of hydrodynamic modeling in heavy-ion collisions
journal, December 2020


(3+1)-dimensional dissipative relativistic fluid dynamics at non-zero net baryon density
journal, June 2020


Azimuthal Anisotropy at the Relativistic Heavy Ion Collider: The First and Fourth Harmonics
journal, February 2004


Dynamically Exploring the QCD Matter at Finite Temperatures and Densities: A Short Review
journal, September 2021


Heavy flavor quenching and flow: the roles of initial condition, pre-equilibrium evolution, and in-medium interaction *
journal, November 2020


Coupling relativistic viscous hydrodynamics to Boltzmann descriptions
journal, October 2010


Equation of state in ( 2 + 1 )-flavor QCD
journal, November 2014


Eccentricity fluctuation effects on elliptic flow in relativistic heavy ion collisions
journal, June 2009


Hydrodynamic study of hyperon spin polarization in relativistic heavy ion collisions
journal, February 2021


Polarization of massive fermions in a vortical fluid
journal, August 2016


Dynamically integrated transport approach for heavy-ion collisions at high baryon density
journal, August 2018


Event-by-event fluctuations in hydrodynamical description of heavy-ion collisions
journal, February 2002


Rapidity decorrelation of anisotropic flow caused by hydrodynamic fluctuations
journal, December 2020


Full result for the QCD equation of state with <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math> flavors
journal, March 2014


Elliptic and Triangular Flow in p -Pb and Peripheral Pb-Pb Collisions from Parton Scatterings
journal, December 2014


Reexamination of local spin polarization beyond global equilibrium in relativistic heavy ion collisions
journal, December 2021


Translation of collision geometry fluctuations into momentum anisotropies in relativistic heavy-ion collisions
journal, December 2010


Beam Energy Dependence of Jet-Quenching Effects in Au + Au Collisions at s NN = 7.7 , 11.5, 14.5, 19.6, 27, 39, and 62.4 GeV
journal, July 2018


Local Polarization and Isothermal Local Equilibrium in Relativistic Heavy Ion Collisions
journal, December 2021


Small System Collectivity in Relativistic Hadronic and Nuclear Collisions
journal, October 2018


QCD equation of state at finite chemical potentials for relativistic nuclear collisions
journal, March 2021

  • Monnai, Akihiko; Schenke, Björn; Shen, Chun
  • International Journal of Modern Physics A, Vol. 36, Issue 07
  • DOI: 10.1142/S0217751X21300076

Collective flow in p -Pb and d -Pb collisions at TeV energies
journal, January 2012


Jet quenching in high-energy heavy-ion collisions
journal, November 2015


Collective Flow and Viscosity in Relativistic Heavy-Ion Collisions
journal, October 2013


Nonlinear responses of chiral fluids from kinetic theory
journal, January 2018


Collective Longitudinal Polarization in Relativistic Heavy-Ion Collisions at Very High Energy
journal, January 2018


Effects of initial flow velocity fluctuation in event-by-event (3+1)D hydrodynamics
journal, August 2012


Collective dynamics in high-energy proton-nucleus collisions
journal, July 2013


Search for the Elusive Jet-Induced Diffusion Wake in Z / γ -Jets with 2D Jet Tomography in High-Energy Heavy-Ion Collisions
journal, August 2021


Hydrodynamic description of D meson production in high-energy heavy-ion collisions *
journal, July 2021


Particlization in hybrid models
journal, November 2012


The phase diagram of dense QCD
journal, December 2010


Dynamical initial-state model for relativistic heavy-ion collisions
journal, February 2018


Probing the Partonic Degrees of Freedom in High-Multiplicity p Pb collisions at s N N = 5.02 TeV
journal, August 2020


Modified equilibrium distributions for Cooper-Frye particlization
journal, June 2021


Maximum entropy kinetic matching conditions for heavy-ion collisions
journal, June 2021


Hydrodynamic Modeling of Heavy-Ion Collisions
journal, April 2013

  • Gale, Charles; Jeon, Sangyong; Schenke, BjÖRn
  • International Journal of Modern Physics A, Vol. 28, Issue 11
  • DOI: 10.1142/S0217751X13400113

New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection–Diffusion Equations
journal, May 2000

  • Kurganov, Alexander; Tadmor, Eitan
  • Journal of Computational Physics, Vol. 160, Issue 1
  • DOI: 10.1006/jcph.2000.6459

Non-Gaussian Fluctuations near the QCD Critical Point
journal, January 2009


Triangular flow in event-by-event ideal hydrodynamics in Au + Au collisions at s NN = 200 A GeV
journal, October 2010


Elliptic Flow of Charged Particles in Pb-Pb Collisions at s N N = 2.76 TeV
journal, December 2010


Triangularity and dipole asymmetry in relativistic heavy ion collisions
journal, June 2011


Flow analysis with cumulants: Direct calculations
journal, April 2011


v 4 , v 5 , v 6 , v 7 : Nonlinear hydrodynamic response versus LHC data
journal, May 2015


Collision-geometry fluctuations and triangular flow in heavy-ion collisions
journal, May 2010


Shear-Induced Spin Polarization in Heavy-Ion Collisions
journal, September 2021


Probing early-time longitudinal dynamics with the Λ hyperon's spin polarization in relativistic heavy-ion collisions
journal, November 2021


QCD Phase Diagram and the Critical Point
journal, January 2004


Linear and non-linear flow mode in Pb–Pb collisions at s NN = 2.76  TeV
journal, October 2017


Medium modification of γ-jet fragmentation functions in Pb+Pb collisions at LHC
journal, November 2020


Flavor hierarchy of jet quenching in relativistic heavy-ion collisions
journal, June 2020


Correlated Event-by-Event Fluctuations of Flow Harmonics in Pb-Pb Collisions at s N N = 2.76 TeV
journal, October 2016


Fate of the initial state perturbations in heavy ion collisions. II. Glauber fluctuations and sounds
journal, September 2011


Sign of Kurtosis near the QCD Critical Point
journal, July 2011


Effects of dissipative baryon current in heavy-ion collisions at RHIC-BES energies
journal, January 2021


Benchmark of initial state models for heavy-ion collisions at s N N = 27 and 62 GeV
journal, March 2021


Benchmarking a nonequilibrium approach to photon emission in relativistic heavy-ion collisions
journal, June 2019


Jet quenching and medium response in high-energy heavy-ion collisions: a review
journal, January 2021


Hydrodynamics at rhic and lhc: what have we Learned?
journal, December 2013


Measurement of the elliptic anisotropy of charged particles produced in PbPb collisions at s N N = 2.76 TeV
journal, January 2013


Matching the Nonequilibrium Initial Stage of Heavy Ion Collisions to Hydrodynamics with QCD Kinetic Theory
journal, March 2019


Wounded quarks in A + A , p + A , and p + p collisions
journal, July 2016


Effective kinetic description of event-by-event pre-equilibrium dynamics in high-energy heavy-ion collisions
journal, March 2019

  • Kurkela, Aleksi; Mazeliauskas, Aleksas; Paquet, Jean-François
  • Physical Review C, Vol. 99, Issue 3
  • DOI: 10.1103/PhysRevC.99.034910

QCD equation of state matched to lattice data and exhibiting a critical point singularity
journal, March 2020


Importance of the Bulk Viscosity of QCD in Ultrarelativistic Heavy-Ion Collisions
journal, September 2015


Relativistic hydrodynamics for heavy-ion collisions. I. General aspects and expansion into vacuum
journal, December 1995


Symmetric cumulants and event-plane correlations in Pb + Pb collisions
journal, July 2016


Mode-coupling effects in anisotropic flow in heavy-ion collisions
journal, June 2016


Estimation of the shear viscosity at finite net-baryon density from A + A collision data at s NN = 7.7 200 GeV
journal, June 2015


Far From Equilibrium Hydrodynamics and the Beam Energy Scan
journal, July 2020


Linearized Boltzmann transport model for jet propagation in the quark-gluon plasma: Heavy quark evolution
journal, July 2016


Pseudorapidity distribution and decorrelation of anisotropic flow within the open-computing-language implementation CLVisc hydrodynamics
journal, June 2018


Hydrodynamic collectivity in proton–proton collisions at 13 TeV
journal, May 2018


Correlations of flow harmonics in 2.76 A TeV Pb-Pb collisions
journal, April 2017


Bulk properties of the medium produced in relativistic heavy-ion collisions from the beam energy scan program
journal, October 2017


Thermally fluctuating second-order viscous hydrodynamics and heavy-ion collisions
journal, April 2015


Collective flow in 2.76 and 5.02 A TeV Pb + Pb collisions
journal, September 2017


Study of $$\Lambda $$ Λ polarization in relativistic nuclear collisions at $$\sqrt{s_\mathrm {NN}}=7.7$$ s NN = 7.7 –200 GeV
journal, April 2017


Hot spots and turbulent initial conditions of quark-gluon plasmas in nuclear collisions
journal, February 1997


Importance of Granular Structure in the Initial Conditions for the Elliptic Flow
journal, September 2008


Relative flow fluctuations as a probe of initial state fluctuations
journal, May 2017

  • Giacalone, Giuliano; Noronha-Hostler, Jacquelyn; Ollitrault, Jean-Yves
  • Physical Review C, Vol. 95, Issue 5
  • DOI: 10.1103/PhysRevC.95.054910

The smallest fluid on Earth
journal, August 2021


Fluctuating initial conditions in heavy ion collisions from the Glauber approach
journal, November 2007


Systematic measurements of identified particle spectra in pp , d + Au , and Au + Au collisions at the STAR detector
journal, March 2009


New approach to initializing hydrodynamic fields and mini-jet propagation in quark-gluon fluids
journal, May 2017


Influence of the neutron-skin effect on nuclear isobar collisions at energies available at the BNL Relativistic Heavy Ion Collider
journal, June 2020


Particle production via strings and baryon stopping within a hadronic transport approach
journal, April 2020

  • Mohs, J.; Ryu, S.; Elfner, H.
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 47, Issue 6
  • DOI: 10.1088/1361-6471/ab7bd1

Beam Energy Dependence of the Third Harmonic of Azimuthal Correlations in Au + Au Collisions at RHIC
journal, March 2016


Baseline predictions of elliptic flow and fluctuations for the RHIC Beam Energy Scan using response coefficients
journal, March 2021


Equation of state at finite densities for QCD matter in nuclear collisions
journal, August 2019


(3+1)D hydrodynamic simulation of relativistic heavy-ion collisions
journal, July 2010


Particle production and equilibrium properties within a new hadron transport approach for heavy-ion collisions
journal, November 2016


Harmonic decomposition of three-particle azimuthal correlations at energies available at the BNL Relativistic Heavy Ion Collider
journal, September 2018


Net-baryon diffusion in fluid-dynamic simulations of relativistic heavy-ion collisions
journal, September 2018


Collision system and beam energy dependence of anisotropic flow fluctuations
journal, February 2019


The iEBE-VISHNU code package for relativistic heavy-ion collisions
journal, February 2016


Measurement of the pseudorapidity and transverse momentum dependence of the elliptic flow of charged particles in lead–lead collisions at <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msqrt><mml:msub><mml:mi>s</mml:mi><mml:mi mathvariant="normal">NN</mml:mi></mml:msub></mml:msqrt><mml:mo>=</mml:mo><mml:mn>2.76</mml:mn><mml:mtext> </mml:mtext><mml:mtext>TeV</mml:mtext></mml:math> with the ATLAS detector
journal, February 2012


Collision-geometry-based 3D initial condition for relativistic heavy-ion collisions
journal, July 2020