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

Title: Corrections to the hadron resonance gas from lattice QCD and their effect on fluctuation-ratios at finite density

Abstract

The hadron resonance gas (HRG) model is often believed to correctly describe the confined phase of QCD. This assumption is the basis of many phenomenological works on QCD thermodynamics and of the analysis of hadron yields in relativistic heavy ion collisions. We use first principle lattice simulations to calculate corrections to the ideal HRG model. Namely, we determine the subleading fugacity expansion coefficients of the grand canonical free energy, receiving contributions from processes like kaon-kaon or baryon-baryon scattering. We achieve this goal by performing a two dimensional scan on the imaginary baryon number chemical potential (μB)—strangeness chemical potential (μS) plane, where the fugacity expansion coefficients become Fourier coefficients. We carry out a continuum limit estimation of these coefficients by performing lattice simulations with temporal extents of Nτ=8, 10, 12 using the 4stout improved staggered action. We then use the truncated fugacity expansion to extrapolate ratios of baryon number and strangeness fluctuations and correlations to finite chemical potentials. Evaluating the fugacity expansion along the crossover line, we reproduce the trend seen in the experimental data on net-proton fluctuations by the STAR collaboration.

Authors:
; ; ; ORCiD logo; ; ; ; ORCiD logo; ORCiD logo;
Publication Date:
Research Org.:
Univ. of Houston, TX (United States); UT-Battelle LLC/ORNL, Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP); German Research Foundation (DFG); Excellence Initiative of Aix-Marseille University (A*MIDEX); Bundesministerium für Bildung und Forschung (BMBF); National Science Foundation (NSF); Hungarian Academy of Sciences; University of Houston
OSTI Identifier:
1830869
Alternate Identifier(s):
OSTI ID: 1979940
Grant/Contract Number:  
FG02-07ER41521; AC05-00OR22725; KKP126769; 05P18PXFCA; PHY1654219
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 104 Journal Issue: 9; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; lattice QCD; Phase diagrams; QCD phase transitions; quantum chromodynamics; quark-gluon plasma; baryons; strange quark

Citation Formats

Bellwied, Rene, Ratti, Claudia, Borsányi, Szabolcs, Parotto, Paolo, Fodor, Zoltán, Guenther, Jana N., Katz, Sándor D., Pásztor, Attila, Pesznyák, Dávid, and Szabó, Kálmán K. Corrections to the hadron resonance gas from lattice QCD and their effect on fluctuation-ratios at finite density. United States: N. p., 2021. Web. doi:10.1103/PhysRevD.104.094508.
Bellwied, Rene, Ratti, Claudia, Borsányi, Szabolcs, Parotto, Paolo, Fodor, Zoltán, Guenther, Jana N., Katz, Sándor D., Pásztor, Attila, Pesznyák, Dávid, & Szabó, Kálmán K. Corrections to the hadron resonance gas from lattice QCD and their effect on fluctuation-ratios at finite density. United States. https://doi.org/10.1103/PhysRevD.104.094508
Bellwied, Rene, Ratti, Claudia, Borsányi, Szabolcs, Parotto, Paolo, Fodor, Zoltán, Guenther, Jana N., Katz, Sándor D., Pásztor, Attila, Pesznyák, Dávid, and Szabó, Kálmán K. Wed . "Corrections to the hadron resonance gas from lattice QCD and their effect on fluctuation-ratios at finite density". United States. https://doi.org/10.1103/PhysRevD.104.094508.
@article{osti_1830869,
title = {Corrections to the hadron resonance gas from lattice QCD and their effect on fluctuation-ratios at finite density},
author = {Bellwied, Rene and Ratti, Claudia and Borsányi, Szabolcs and Parotto, Paolo and Fodor, Zoltán and Guenther, Jana N. and Katz, Sándor D. and Pásztor, Attila and Pesznyák, Dávid and Szabó, Kálmán K.},
abstractNote = {The hadron resonance gas (HRG) model is often believed to correctly describe the confined phase of QCD. This assumption is the basis of many phenomenological works on QCD thermodynamics and of the analysis of hadron yields in relativistic heavy ion collisions. We use first principle lattice simulations to calculate corrections to the ideal HRG model. Namely, we determine the subleading fugacity expansion coefficients of the grand canonical free energy, receiving contributions from processes like kaon-kaon or baryon-baryon scattering. We achieve this goal by performing a two dimensional scan on the imaginary baryon number chemical potential (μB)—strangeness chemical potential (μS) plane, where the fugacity expansion coefficients become Fourier coefficients. We carry out a continuum limit estimation of these coefficients by performing lattice simulations with temporal extents of Nτ=8, 10, 12 using the 4stout improved staggered action. We then use the truncated fugacity expansion to extrapolate ratios of baryon number and strangeness fluctuations and correlations to finite chemical potentials. Evaluating the fugacity expansion along the crossover line, we reproduce the trend seen in the experimental data on net-proton fluctuations by the STAR collaboration.},
doi = {10.1103/PhysRevD.104.094508},
journal = {Physical Review D},
number = 9,
volume = 104,
place = {United States},
year = {Wed Nov 17 00:00:00 EST 2021},
month = {Wed Nov 17 00:00:00 EST 2021}
}

Works referenced in this record:

Influence of impact parameter on thermal description of relativistic heavy ion collisions at ( 1 2 ) A GeV
journal, March 1999

  • Cleymans, Jean; Oeschler, Helmut; Redlich, Krzysztof
  • Physical Review C, Vol. 59, Issue 3
  • DOI: 10.1103/PhysRevC.59.1663

Revealing baryon number fluctuations from proton number fluctuations in relativistic heavy ion collisions
journal, February 2012


Finite density QCD via an imaginary chemical potential
journal, January 2003


Critical point in the phase diagram of primordial quark-gluon matter from black hole physics
journal, November 2017

  • Critelli, Renato; Noronha, Jorge; Noronha-Hostler, Jacquelyn
  • Physical Review D, Vol. 96, Issue 9
  • DOI: 10.1103/PhysRevD.96.096026

Higher order fluctuations and correlations of conserved charges from lattice QCD
journal, October 2018

  • Borsanyi, Szabolcs; Fodor, Zoltan; Guenther, Jana N.
  • Journal of High Energy Physics, Vol. 2018, Issue 10
  • DOI: 10.1007/JHEP10(2018)205

Fluctuations of conserved charges at finite temperature from lattice QCD
journal, January 2012

  • Borsányi, Szabolcs; Fodor, Zoltán; Katz, Sándor D.
  • Journal of High Energy Physics, Vol. 2012, Issue 1
  • DOI: 10.1007/JHEP01(2012)138

Measurement of strange baryon–antibaryon interactions with femtoscopic correlations
journal, March 2020


Thermal hadron production in relativistic nuclear collisions: The hadron mass spectrum, the horn, and the QCD phase transition
journal, March 2009


Connecting fluctuation measurements in heavy-ion collisions with the grand-canonical susceptibilities
journal, December 2020


Curvature of the chiral pseudocritical line in QCD: Continuum extrapolated results
journal, September 2015


QCD equation of state to O ( μ B 6 ) from lattice QCD
journal, March 2017


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


Hadron Mass Spectrum from Lattice QCD
journal, December 2010


Curvature of the pseudocritical line in QCD: Taylor expansion matches analytic continuation
journal, September 2018


Review of Particle Physics
journal, August 2018


New approach to lattice QCD at finite density; results for the critical end point on coarse lattices
journal, May 2020

  • Giordano, Matteo; Kapas, Kornel; Katz, Sandor D.
  • Journal of High Energy Physics, Vol. 2020, Issue 5
  • DOI: 10.1007/JHEP05(2020)088

Chemical freeze-out and the QCD phase transition temperature
journal, August 2004


Thermodynamics of Δ resonances
journal, August 1998


Excluded-volume effects for a hadron gas in Yang-Mills theory
journal, May 2017


Fluctuations and correlations in high temperature QCD
journal, December 2015


S -Matrix Formulation of Statistical Mechanics
journal, November 1969

  • Dashen, Roger; Ma, Shang-keng; Bernstein, Herbert J.
  • Physical Review, Vol. 187, Issue 1
  • DOI: 10.1103/PhysRev.187.345

ΛΛ and NΞ interactions from lattice QCD near the physical point
journal, June 2020


Decoding the phase structure of QCD via particle production at high energy
journal, September 2018


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


The QCD equation of state at finite density from analytical continuation
journal, November 2017


Study of the Strong Interaction Among Hadrons with Correlations at the LHC
journal, September 2021


Radius of convergence in lattice QCD at finite μ B with rooted staggered fermions
journal, April 2020


Repulsive baryonic interactions and lattice QCD observables at imaginary chemical potential
journal, December 2017


QCD equation of state at nonzero chemical potential: continuum results with physical quark masses at order μ 2
journal, August 2012

  • Borsányi, Sz.; Endrődi, G.; Fodor, Z.
  • Journal of High Energy Physics, Vol. 2012, Issue 8
  • DOI: 10.1007/JHEP08(2012)053

Off-diagonal correlators of conserved charges from lattice QCD and how to relate them to experiment
journal, February 2020


Analytic smearing of SU ( 3 ) link variables in lattice QCD
journal, March 2004


Canonical ensembles and nonzero density quantum chromodynamics
journal, March 1992


Flavour and energy dependence of chemical freeze-out temperatures in relativistic heavy ion collisions from RHIC-BES to LHC energies
journal, March 2021


QCD thermal phase transition in the presence of a small chemical potential
journal, October 2002


Critical line of 2 + 1 flavor QCD
journal, April 2014


QCD thermodynamics with three flavors of improved staggered quarks
journal, February 2005


Matching the Hagedorn mass spectrum with lattice QCD results
journal, November 2015


Chemical freeze-out in ultrarelativistic heavy ion collisions at s NN = 130 and 200 GeV
journal, November 2008


Hyperon–nucleon interaction at next-to-leading order in chiral effective field theory
journal, October 2013


Higher order quark number fluctuations via imaginary chemical potentials in N f = 2 + 1 QCD
journal, May 2017

  • D’Elia, Massimo; Gagliardi, Giuseppe; Sanfilippo, Francesco
  • Physical Review D, Vol. 95, Issue 9
  • DOI: 10.1103/PhysRevD.95.094503

Calculation of the axion mass based on high-temperature lattice quantum chromodynamics
journal, November 2016


A new method to study lattice QCD at finite temperature and chemical potential
journal, May 2002


Partial-wave analysis of nucleon-nucleon elastic scattering data
journal, December 2016


Nonmonotonic Energy Dependence of Net-Proton Number Fluctuations
journal, March 2021


Critical line of 2 + 1 flavor QCD: Toward the continuum limit
journal, January 2016


Hadron resonance mass spectrum and lattice QCD thermodynamics
journal, August 2003


Unveiling the strong interaction among hadrons at the LHC
journal, December 2020


Strangeness fluctuations from K π interactions
journal, October 2015


Thermodynamics of the strange baryon system from a coupled-channels analysis and missing states
journal, October 2018


Additional Strange Hadrons from QCD Thermodynamics and Strangeness Freezeout in Heavy Ion Collisions
journal, August 2014


Mapping the phases of quantum chromodynamics with beam energy scan
journal, April 2020


QCD equation of state and hadron resonance gas
journal, June 2010


Existence of the critical endpoint in the vector meson extended linear sigma model
journal, June 2016


Thermodynamics of two flavor QCD from imaginary chemical potentials
journal, July 2009


Quartic cumulant of baryon number in the presence of a QCD critical point
journal, March 2021


Thermal properties of interacting hadrons
journal, September 1992


Hadron resonance gas with repulsive interactions and fluctuations of conserved charges
journal, February 2018


Updated analysis of N N elastic scattering to 3 GeV
journal, August 2007


Lattice determination of the critical point of QCD at finite T and μ
journal, March 2002


van der Waals Interactions in Hadron Resonance Gas: From Nuclear Matter to Lattice QCD
journal, May 2017


Nucleon-nucleon partial-wave analysis to 1100 MeV
journal, January 1987

  • Arndt, Richard A.; Hyslop, John S.; Roper, L. David
  • Physical Review D, Vol. 35, Issue 1
  • DOI: 10.1103/PhysRevD.35.128

Critical point of QCD at finite T and  , lattice results for physical quark masses
journal, April 2004


The QCD equation of state with dynamical quarks
journal, November 2010

  • Borsányi, Szabolcs; Endrődi, Gergely; Fodor, Zoltán
  • Journal of High Energy Physics, Vol. 2010, Issue 11
  • DOI: 10.1007/JHEP11(2010)077

Thermodynamics of two flavor QCD to sixth order in quark chemical potential
journal, March 2005


Trying to constrain the location of the QCD critical endpoint with lattice simulations
journal, February 2019


Volume fluctuations and higher-order cumulants of the net baryon number
journal, September 2013


Chiral phase transition in two-flavor QCD from an imaginary chemical potential
journal, October 2014


Multiplicity dependence of (multi)strange baryons in the canonical ensemble with phase shift corrections
journal, January 2021


Fast Equilibration of Hadrons in an Expanding Fireball
journal, June 2008


NΩ dibaryon from lattice QCD near the physical point
journal, May 2019


The thermal proton yield anomaly in Pb-Pb collisions at the LHC and its resolution
journal, May 2019


The order of the quantum chromodynamics transition predicted by the standard model of particle physics
journal, October 2006


Hyperon–nucleon interactions—a chiral effective field theory approach
journal, November 2006


Identified particle production, azimuthal anisotropy, and interferometry measurements in Au + Au collisions at s NN = 9 . 2 GeV
journal, February 2010


Effect of stout smearing on the phase diagram from multiparameter reweighting in lattice QCD
journal, August 2020


Relativistic nuclear collisions: Establishing a non-critical baseline for fluctuation measurements
journal, April 2021


Chiral and deconfinement aspects of the QCD transition
journal, March 2012


QCD Crossover at Finite Chemical Potential from Lattice Simulations
journal, July 2020


QCD at finite chemical potential with six time slices
journal, December 2008


The phase diagram of nuclear and quark matter at high baryon density
journal, September 2013


Constraining the hadronic spectrum through QCD thermodynamics on the lattice
journal, August 2017


S-matrix analysis of the baryon electric charge correlation
journal, March 2018


The QCD phase diagram for small densities from imaginary chemical potential
journal, October 2002


The QCD phase diagram from analytic continuation
journal, December 2015


Is there still any T c mystery in lattice QCD? Results with physical masses in the continuum limit III
journal, September 2010

  • Borsányi, Szabolcs; Fodor, Zoltán; Hoelbling, Christian
  • Journal of High Energy Physics, Vol. 2010, Issue 9
  • DOI: 10.1007/JHEP09(2010)073

Diagonal and off-diagonal quark number susceptibilities at high temperatures
journal, October 2015


Scaling properties at freeze-out in relativistic heavy-ion collisions
journal, March 2011


Three-loop HTLpt thermodynamics at finite temperature and chemical potential
journal, May 2014

  • Haque, Najmul; Bandyopadhyay, Aritra; Andersen, Jens O.
  • Journal of High Energy Physics, Vol. 2014, Issue 5
  • DOI: 10.1007/JHEP05(2014)027

Resolving the Antibaryon-Production Puzzle in High-Energy Heavy-Ion Collisions
journal, April 2001


The QCD transition temperature: Results with physical masses in the continuum limit
journal, November 2006


Apparent convergence of Padé approximants for the crossover line in finite density QCD
journal, February 2021