Proton number cumulants and correlation functions in Au-Au collisions at –200 GeV from hydrodynamics
Abstract
We present a dynamical description of (anti)proton number cumulants and correlation functions in central Au-Au collisions at √sNN=7.7–200 GeV by utilizing viscous hydrodynamics simulations. The cumulants of proton and baryon number are calculated in a given momentum acceptance analytically, via an appropriately extended Cooper-Frye procedure describing particlization of an interacting hadron resonance gas. The effects of global baryon number conservation are taken into account using a generalized subensemble acceptance method. The experimental data of the STAR Collaboration are consistent at √sNN ≳ 20 GeV with simultaneous effects of global baryon number conservation and repulsive interactions in the baryon sector, the latter being in line with the behavior of baryon number susceptibilities observed in lattice QCD. The data at lower collision energies show possible indications for sizable attractive interactions among baryons. The data also indicate sizable negative two-particle correlations between antiprotons that are not satisfactorily described by baryon conservation and excluded volume effects. We also discuss differences between cumulants and correlation functions (factorial cumulants) of (anti)proton number distribution, proton versus baryon number fluctuations, and effects of the hadronic afterburner.
- Authors:
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Wayne State Univ., Detroit, MI (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP); Alexander von Humboldt Foundation; National Science Foundation (NSF)
- OSTI Identifier:
- 1838381
- Alternate Identifier(s):
- OSTI ID: 1856509; OSTI ID: 1903206
- Grant/Contract Number:
- AC02-05CH11231231; SC001346; AC02-05CH11231; PHY-2012922; SC0013460
- Resource Type:
- Published Article
- Journal Name:
- Physical Review C
- Additional Journal Information:
- Journal Name: Physical Review C Journal Volume: 105 Journal Issue: 1; 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
Vovchenko, Volodymyr, Koch, Volker, and Shen, Chun. Proton number cumulants and correlation functions in Au-Au collisions at s N N = 7.7 –200 GeV from hydrodynamics. United States: N. p., 2022.
Web. doi:10.1103/PhysRevC.105.014904.
Vovchenko, Volodymyr, Koch, Volker, & Shen, Chun. Proton number cumulants and correlation functions in Au-Au collisions at s N N = 7.7 –200 GeV from hydrodynamics. United States. https://doi.org/10.1103/PhysRevC.105.014904
Vovchenko, Volodymyr, Koch, Volker, and Shen, Chun. Wed .
"Proton number cumulants and correlation functions in Au-Au collisions at s N N = 7.7 –200 GeV from hydrodynamics". United States. https://doi.org/10.1103/PhysRevC.105.014904.
@article{osti_1838381,
title = {Proton number cumulants and correlation functions in Au-Au collisions at s N N = 7.7 –200 GeV from hydrodynamics},
author = {Vovchenko, Volodymyr and Koch, Volker and Shen, Chun},
abstractNote = {We present a dynamical description of (anti)proton number cumulants and correlation functions in central Au-Au collisions at √sNN=7.7–200 GeV by utilizing viscous hydrodynamics simulations. The cumulants of proton and baryon number are calculated in a given momentum acceptance analytically, via an appropriately extended Cooper-Frye procedure describing particlization of an interacting hadron resonance gas. The effects of global baryon number conservation are taken into account using a generalized subensemble acceptance method. The experimental data of the STAR Collaboration are consistent at √sNN ≳ 20 GeV with simultaneous effects of global baryon number conservation and repulsive interactions in the baryon sector, the latter being in line with the behavior of baryon number susceptibilities observed in lattice QCD. The data at lower collision energies show possible indications for sizable attractive interactions among baryons. The data also indicate sizable negative two-particle correlations between antiprotons that are not satisfactorily described by baryon conservation and excluded volume effects. We also discuss differences between cumulants and correlation functions (factorial cumulants) of (anti)proton number distribution, proton versus baryon number fluctuations, and effects of the hadronic afterburner.},
doi = {10.1103/PhysRevC.105.014904},
journal = {Physical Review C},
number = 1,
volume = 105,
place = {United States},
year = {Wed Jan 05 00:00:00 EST 2022},
month = {Wed Jan 05 00:00:00 EST 2022}
}
https://doi.org/10.1103/PhysRevC.105.014904
Works referenced in this record:
Correlated stopping, proton clusters and higher order proton cumulants
journal, May 2017
- Bzdak, Adam; Koch, Volker; Skokov, Vladimir
- The European Physical Journal C, Vol. 77, Issue 5
Radial and elliptic flow in Pb Pb collisions at energies available at the CERN Large Hadron Collider from viscous hydrodynamics
journal, October 2011
- Shen, Chun; Heinz, Ulrich; Huovinen, Pasi
- Physical Review C, Vol. 84, Issue 4
Revealing baryon number fluctuations from proton number fluctuations in relativistic heavy ion collisions
journal, February 2012
- Kitazawa, Masakiyo; Asakawa, Masayuki
- Physical Review C, Vol. 85, Issue 2
Acceptance corrections to net baryon and net charge cumulants
journal, October 2012
- Bzdak, Adam; Koch, Volker
- Physical Review C, Vol. 86, Issue 4
Recent development of hydrodynamic modeling in heavy-ion collisions
journal, December 2020
- Shen, Chun; Yan, Li
- Nuclear Science and Techniques, Vol. 31, Issue 12
Chemical freeze-out conditions and fluctuations of conserved charges in heavy-ion collisions within a quantum van der Waals model
journal, November 2019
- Poberezhnyuk, R. V.; Vovchenko, V.; Motornenko, A.
- Physical Review C, Vol. 100, Issue 5
Bridging the gap between event-by-event fluctuation measurements and theory predictions in relativistic nuclear collisions
journal, April 2017
- Braun-Munzinger, P.; Rustamov, A.; Stachel, J.
- Nuclear Physics A, Vol. 960
Microscopic models for ultrarelativistic heavy ion collisions
journal, January 1998
- Bass, S.
- Progress in Particle and Nuclear Physics, Vol. 41
Systematic parameter study of hadron spectra and elliptic flow from viscous hydrodynamic simulations of Au Au collisions at GeV
journal, November 2010
- Shen, Chun; Heinz, Ulrich; Huovinen, Pasi
- Physical Review C, Vol. 82, Issue 5
Correlated fluctuations near the QCD critical point
journal, August 2016
- Jiang, Lijia; Li, Pengfei; Song, Huichao
- Physical Review C, Vol. 94, Issue 2
Higher-order baryon number susceptibilities: Interplay between the chiral and the nuclear liquid-gas transitions
journal, August 2017
- Mukherjee, A.; Steinheimer, J.; Schramm, S.
- Physical Review C, Vol. 96, Issue 2
Proton-Number Fluctuation as a Signal of the QCD Critical End Point
journal, September 2003
- Hatta, Y.; Stephanov, M. A.
- Physical Review Letters, Vol. 91, Issue 10
Quartic cumulant of baryon number in the presence of a QCD critical point
journal, March 2021
- Mroczek, D.; Nava Acuna, A. R.; Noronha-Hostler, J.
- Physical Review C, Vol. 103, Issue 3
Critical point of nuclear matter and beam-energy dependence of net-proton number fluctuations
journal, August 2018
- Vovchenko, Volodymyr; Jiang, Lijia; Gorenstein, Mark I.
- Physical Review C, Vol. 98, Issue 2
Running the gamut of high energy nuclear collisions
journal, October 2020
- Schenke, Björn; Shen, Chun; Tribedy, Prithwish
- Physical Review C, Vol. 102, Issue 4
Connecting fluctuation measurements in heavy-ion collisions with the grand-canonical susceptibilities
journal, December 2020
- Vovchenko, Volodymyr; Savchuk, Oleh; Poberezhnyuk, Roman V.
- Physics Letters B, Vol. 811
Sign of Kurtosis near the QCD Critical Point
journal, July 2011
- Stephanov, M. A.
- Physical Review Letters, Vol. 107, Issue 5
Particlization of an interacting hadron resonance gas with global conservation laws for event-by-event fluctuations in heavy-ion collisions
journal, April 2021
- Vovchenko, Volodymyr; Koch, Volker
- Physical Review C, Vol. 103, Issue 4
Event-by-event fluctuations in heavy ion collisions and the QCD critical point
journal, November 1999
- Stephanov, M.; Rajagopal, K.; Shuryak, E.
- Physical Review D, Vol. 60, Issue 11
van der Waals Interactions in Hadron Resonance Gas: From Nuclear Matter to Lattice QCD
journal, May 2017
- Vovchenko, Volodymyr; Gorenstein, Mark I.; Stoecker, Horst
- Physical Review Letters, Vol. 118, Issue 18
Proton cumulants and correlation functions in Au + Au collisions at GeV from UrQMD model
journal, November 2017
- He, Shu; Luo, Xiaofeng
- Physics Letters B, Vol. 774
Equation of state in ( )-flavor QCD
journal, November 2014
- Bazavov, A.; Bhattacharya, Tanmoy; DeTar, C.
- Physical Review D, Vol. 90, Issue 9
Baryon number conservation and the cumulants of the net proton distribution
journal, January 2013
- Bzdak, A.; Koch, V.; Skokov, V.
- Physical Review C, Vol. 87, Issue 1
Bulk properties of the system formed in collisions at GeV at the BNL STAR detector
journal, February 2020
- Adam, J.; Adamczyk, L.; Adams, J. R.
- Physical Review C, Vol. 101, Issue 2
Centrality dependence of proton and antiproton spectra in Pb Pb collisions at GeV and GeV measured at the CERN Super Proton Synchrotron
journal, January 2011
- Anticic, T.; Baatar, B.; Barna, D.
- Physical Review C, Vol. 83, Issue 1
Fluctuation dynamics near the QCD critical point
journal, November 2020
- Du, Lipei; Heinz, Ulrich; Rajagopal, Krishna
- Physical Review C, Vol. 102, Issue 5
Volume fluctuations and higher-order cumulants of the net baryon number
journal, September 2013
- Skokov, V.; Friman, B.; Redlich, K.
- Physical Review C, Vol. 88, Issue 3
Acceptance dependence of fluctuation measures near the QCD critical point
journal, March 2016
- Ling, Bo; Stephanov, Mikhail A.
- Physical Review C, Vol. 93, Issue 3
Cumulants and correlation functions versus the QCD phase diagram
journal, May 2017
- Bzdak, Adam; Koch, Volker; Strodthoff, Nils
- Physical Review C, Vol. 95, Issue 5
Charge conservation and higher moments of charge fluctuations
journal, December 2020
- Pratt, Scott; Steinhorst, Rachel
- Physical Review C, Vol. 102, Issue 6
Correcting event-by-event fluctuations in heavy-ion collisions for exact global conservation laws with the generalized subensemble acceptance method
journal, January 2022
- Vovchenko, Volodymyr
- Physical Review C, Vol. 105, Issue 1
Hadron Formation in Relativistic Nuclear Collisions and the QCD Phase Diagram
journal, August 2013
- Becattini, Francesco; Bleicher, Marcus; Kollegger, Thorsten
- Physical Review Letters, Vol. 111, Issue 8
Cumulants of net-proton, net-kaon, and net-charge multiplicity distributions in Au + Au collisions at , 11.5, 19.6, 27, 39, 62.4, and 200 GeV within the UrQMD model
journal, August 2016
- Xu, Ji; Yu, Shili; Liu, Feng
- Physical Review C, Vol. 94, Issue 2
The thermal proton yield anomaly in Pb-Pb collisions at the LHC and its resolution
journal, May 2019
- Andronic, Anton; Braun-Munzinger, Peter; Friman, Bengt
- Physics Letters B, Vol. 792
Fluctuation Probes of Quark Deconfinement
journal, September 2000
- Asakawa, Masayuki; Heinz, Ulrich; Müller, Berndt
- Physical Review Letters, Vol. 85, Issue 10
Relativistic hadron-hadron collisions in the ultra-relativistic quantum molecular dynamics model
journal, September 1999
- Bleicher, M.; Zabrodin, E.; Spieles, C.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 25, Issue 9
Multiplicity fluctuations in relativistic nuclear collisions: Statistical model versus experimental data
journal, August 2007
- Begun, V. V.; Gaździcki, M.; Gorenstein, M. I.
- Physical Review C, Vol. 76, Issue 2
Repulsive baryonic interactions and lattice QCD observables at imaginary chemical potential
journal, December 2017
- Vovchenko, Volodymyr; Pásztor, Attila; Fodor, Zoltán
- Physics Letters B, Vol. 775
Thermal-FIST: A package for heavy-ion collisions and hadronic equation of state
journal, November 2019
- Vovchenko, Volodymyr; Stoecker, Horst
- Computer Physics Communications, Vol. 244
Charged Particle Ratio Fluctuation as a Signal for Quark-Gluon Plasma
journal, September 2000
- Jeon, S.; Koch, V.
- Physical Review Letters, Vol. 85, Issue 10
Thermal blurring of event-by-event fluctuations generated by rapidity conversion
journal, October 2016
- Ohnishi, Yutaro; Kitazawa, Masakiyo; Asakawa, Masayuki
- Physical Review C, Vol. 94, Issue 4
Relativistic nuclear collisions: Establishing a non-critical baseline for fluctuation measurements
journal, April 2021
- Braun-Munzinger, P.; Friman, B.; Redlich, K.
- Nuclear Physics A, Vol. 1008
Production of photons in relativistic heavy-ion collisions
journal, April 2016
- Paquet, Jean-François; Shen, Chun; Denicol, Gabriel S.
- Physical Review C, Vol. 93, Issue 4
Bulk properties of the medium produced in relativistic heavy-ion collisions from the beam energy scan program
journal, October 2017
- Adamczyk, L.; Adkins, J. K.; Agakishiev, G.
- Physical Review C, Vol. 96, Issue 4
Proton-number fluctuations in collisions studied with the High-Acceptance DiElectron Spectrometer (HADES)
journal, August 2020
- Adamczewski-Musch, J.; Arnold, O.; Behnke, C.
- Physical Review C, Vol. 102, Issue 2
Issues with the search for critical point in QCD with relativistic heavy ion collisions
journal, March 2020
- Asakawa, Masayuki; Kitazawa, Masakiyo; Müller, Berndt
- Physical Review C, Vol. 101, Issue 3
Search for Critical Behaviour of Strongly Interacting Matter at the CERN Super Proton Synchrotron
journal, January 2016
- Gazdzicki, M.; Seyboth, P.
- Acta Physica Polonica B, Vol. 47, Issue 5
Binomial acceptance corrections for particle number distributions in high-energy reactions
journal, February 2020
- Savchuk, Oleh; Poberezhnyuk, Roman V.; Vovchenko, Volodymyr
- Physical Review C, Vol. 101, Issue 2
Erratum: Hadron spectra and elliptic flow for 200 GeV Au+Au collisions from viscous hydrodynamics coupled to a Boltzmann cascade [Phys. Rev. C 83 , 054910 (2011)]
journal, November 2012
- Song, Huichao; Bass, Steffen A.; Heinz, Ulrich
- Physical Review C, Vol. 86, Issue 5
Publisher’s Note: Proton-Number Fluctuation as a Signal of the QCD Critical End Point [Phys. Rev. Lett.PRLTAO0031-9007 91 , 102003 (2003)]
journal, September 2003
- Hatta, Y.; Stephanov, M. A.
- Physical Review Letters, Vol. 91, Issue 12
Collective Flow and Viscosity in Relativistic Heavy-Ion Collisions
journal, October 2013
- Heinz, Ulrich; Snellings, Raimond
- Annual Review of Nuclear and Particle Science, Vol. 63, Issue 1
Global baryon number conservation encoded in net-proton fluctuations measured in Pb–Pb collisions at TeV
journal, August 2020
- Acharya, S.; Adamová, D.; Adler, A.
- Physics Letters B, Vol. 807
Systematic measurements of identified particle spectra in , , and collisions at the STAR detector
journal, March 2009
- Abelev, B. I.; Aggarwal, M. M.; Ahammed, Z.
- Physical Review C, Vol. 79, Issue 3
Uniform description of bulk observables in the hydrokinetic model of collisions at the BNL Relativistic Heavy Ion Collider and the CERN Large Hadron Collider
journal, February 2013
- Karpenko, Iu. A.; Sinyukov, Yu. M.; Werner, K.
- Physical Review C, Vol. 87, Issue 2
Nuclear Stopping in Collisions at
journal, August 2004
- Bearden, I. G.; Beavis, D.; Besliu, C.
- Physical Review Letters, Vol. 93, Issue 10
Finite resonance widths influence the thermal-model description of hadron yields
journal, September 2018
- Vovchenko, Volodymyr; Gorenstein, Mark I.; Stoecker, Horst
- Physical Review C, Vol. 98, Issue 3
Cumulants of multiple conserved charges and global conservation laws
journal, October 2020
- Vovchenko, Volodymyr; Poberezhnyuk, Roman V.; Koch, Volker
- Journal of High Energy Physics, Vol. 2020, Issue 10
Nonmonotonic Energy Dependence of Net-Proton Number Fluctuations
journal, March 2021
- Adam, J.; Adamczyk, L.; Adams, J. R.
- Physical Review Letters, Vol. 126, Issue 9
Single-particle distribution in the hydrodynamic and statistical thermodynamic models of multiparticle production
journal, July 1974
- Cooper, Fred; Frye, Graham
- Physical Review D, Vol. 10, Issue 1
Erratum: Relation between baryon number fluctuations and experimentally observed proton number fluctuations in relativistic heavy ion collisions [Phys. Rev. C 86 , 024904 (2012)]
journal, December 2012
- Kitazawa, Masakiyo; Asakawa, Masayuki
- Physical Review C, Vol. 86, Issue 6
Noncritical fluctuations of (net) charges and (net) protons from the iebe-vishnu hybrid model
journal, January 2018
- Li, Jixing; Xu, Hao-jie; Song, Huichao
- Physical Review C, Vol. 97, Issue 1
Particlization in hybrid models
journal, November 2012
- Huovinen, Pasi; Petersen, Hannah
- The European Physical Journal A, Vol. 48, Issue 11
Statistical hadronization and hadronic micro-canonical ensemble II
journal, December 2004
- Becattini, F.; Ferroni, L.
- The European Physical Journal C, Vol. 38, Issue 2
Erratum to: Statistical hadronization and hadronic microcanonical ensemble II
journal, January 2010
- Becattini, F.; Ferroni, L.
- The European Physical Journal C, Vol. 66, Issue 1-2
Event-by-event fluctuations of the charged particle ratio from nonequilibrium transport theory
journal, November 2000
- Bleicher, M.; Jeon, S.; Koch, V.
- Physical Review C, Vol. 62, Issue 6
Relativistic Fluid Dynamics in and out of Equilibrium
book, January 2019
- Romatschke, Paul; Romatschke, Ulrike
Search for the QCD critical point with fluctuations of conserved quantities in relativistic heavy-ion collisions at RHIC: an overview
journal, July 2017
- Luo, Xiaofeng; Xu, Nu
- Nuclear Science and Techniques, Vol. 28, Issue 8
Hadron spectra and elliptic flow for 200 GeV collisions from viscous hydrodynamics coupled to a Boltzmann cascade
journal, May 2011
- Song, Huichao; Bass, Steffen A.; Heinz, Ulrich
- Physical Review C, Vol. 83, Issue 5
Conserved charge fluctuations are not conserved during the hadronic phase
journal, January 2018
- Steinheimer, J.; Vovchenko, V.; Aichelin, J.
- Physics Letters B, Vol. 776
Dynamical initial-state model for relativistic heavy-ion collisions
journal, February 2018
- Shen, Chun; Schenke, Björn
- Physical Review C, Vol. 97, Issue 2
Dynamics of critical fluctuations: Theory – phenomenology – heavy-ion collisions
journal, November 2020
- Bluhm, Marcus; Kalweit, Alexander; Nahrgang, Marlene
- Nuclear Physics A, Vol. 1003
Understanding the out-of-equilibrium dynamics near a critical point in the QCD phase diagram
journal, November 2020
- Rajagopal, Krishna; Ridgway, Gregory W.; Weller, Ryan
- Physical Review D, Vol. 102, Issue 9
(3+1)D hydrodynamic simulation of relativistic heavy-ion collisions
journal, July 2010
- Schenke, Björn; Jeon, Sangyong; Gale, Charles
- Physical Review C, Vol. 82, Issue 1
Equation of state at finite densities for QCD matter in nuclear collisions
journal, August 2019
- Monnai, Akihiko; Schenke, Björn; Shen, Chun
- Physical Review C, Vol. 100, Issue 2
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
Non-Gaussian Fluctuations near the QCD Critical Point
journal, January 2009
- Stephanov, M. A.
- Physical Review Letters, Vol. 102, Issue 3
Strongly intensive quantities
journal, July 2011
- Gorenstein, M. I.; Gaździcki, M.
- Physical Review C, Vol. 84, Issue 1
Relation between baryon number fluctuations and experimentally observed proton number fluctuations in relativistic heavy ion collisions
journal, August 2012
- Kitazawa, Masakiyo; Asakawa, Masayuki
- Physical Review C, Vol. 86, Issue 2
Net-baryon diffusion in fluid-dynamic simulations of relativistic heavy-ion collisions
journal, September 2018
- Denicol, Gabriel S.; Gale, Charles; Jeon, Sangyong
- Physical Review C, Vol. 98, Issue 3
Volume fluctuation and auto-correlation effects in the moment analysis of net-proton multiplicity distributions in heavy-ion collisions
journal, September 2013
- Luo, Xiaofeng; Xu, Ji; Mohanty, Bedangadas
- Journal of Physics G: Nuclear and Particle Physics, Vol. 40, Issue 10
Mapping the phases of quantum chromodynamics with beam energy scan
journal, April 2020
- Bzdak, Adam; Esumi, ShinIchi; Koch, Volker
- Physics Reports, Vol. 853
Signatures of the Tricritical Point in QCD
journal, November 1998
- Stephanov, M.; Rajagopal, K.; Shuryak, E.
- Physical Review Letters, Vol. 81, Issue 22
Collision-geometry-based 3D initial condition for relativistic heavy-ion collisions
journal, July 2020
- Shen, Chun; Alzhrani, Sahr
- Physical Review C, Vol. 102, Issue 1