Correcting event-by-event fluctuations in heavy-ion collisions for exact global conservation laws with the generalized subensemble acceptance method

Vovchenko, Volodymyr

doi:10.1103/PhysRevC.105.014903

Title: Correcting event-by-event fluctuations in heavy-ion collisions for exact global conservation laws with the generalized subensemble acceptance method

Journal Article · Wed Jan 05 00:00:00 EST 2022 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.105.014903· OSTI ID:1838411

This paper introduces the subensemble acceptance method 2.0 (SAM-2.0) - a procedure to correct cumulants of a random number distribution inside a subsystem for the effect of exact global conservation of a conserved quantity to which this number is correlated, with applications to measurements of event-by-event fluctuations in heavy-ion collisions. The method expresses the corrected cumulants in terms of the cumulants inside and outside the subsystem that are not subject to the exact conservation. The derivation assumes that all probability distributions associated with the cumulants are peaked at the mean values but are otherwise of arbitrary shape. The formalism reduces to the original SAM when applied to a coordinate space subvolume of a uniform thermal system. As the new method is restricted neither to the uniform systems nor to the coordinate space, it is applicable to fluctuations measured in heavy-ion collisions at various collision energies in different momentum space acceptances. The SAM-2.0 thus brings the experimental measurements and theoretical calculations of event-by-event fluctuations closer together, as the latter are typically performed without the account of exact global conservation.

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Research Organization:: Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); Alexander von Humboldt Foundation

Grant/Contract Number:: AC02-05CH11231231; AC02-05CH11231

OSTI ID:: 1838411

Alternate ID(s):: OSTI ID: 1856507

Journal Information:: Physical Review C, Journal Name: Physical Review C Vol. 105 Journal Issue: 1; ISSN 2469-9985

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (37)

Correlated stopping, proton clusters and higher order proton cumulants Bzdak, Adam; Koch, Volker; Skokov, Vladimir The European Physical Journal C, Vol. 77, Issue 5 https://doi.org/10.1140/epjc/s10052-017-4847-0	journal	May 2017
QCD phase structure at finite temperature and density Fu, Wei-jie; Pawlowski, Jan M.; Rennecke, Fabian Physical Review D, Vol. 101, Issue 5 https://doi.org/10.1103/PhysRevD.101.054032	journal	March 2020
Revealing baryon number fluctuations from proton number fluctuations in relativistic heavy ion collisions Kitazawa, Masakiyo; Asakawa, Masayuki Physical Review C, Vol. 85, Issue 2 https://doi.org/10.1103/PhysRevC.85.021901	journal	February 2012
Acceptance corrections to net baryon and net charge cumulants Bzdak, Adam; Koch, Volker Physical Review C, Vol. 86, Issue 4 https://doi.org/10.1103/PhysRevC.86.044904	journal	October 2012
Bridging the gap between event-by-event fluctuation measurements and theory predictions in relativistic nuclear collisions Braun-Munzinger, P.; Rustamov, A.; Stachel, J. Nuclear Physics A, Vol. 960 https://doi.org/10.1016/j.nuclphysa.2017.01.011	journal	April 2017
Proton-number fluctuations in $\sqrt{s_{N N}} = 2.4 GeV Au + Au$ collisions studied with the High-Acceptance DiElectron Spectrometer (HADES) Adamczewski-Musch, J.; Arnold, O.; Behnke, C. Physical Review C, Vol. 102, Issue 2 https://doi.org/10.1103/PhysRevC.102.024914	journal	August 2020
Different realizations of Cooper–Frye sampling with conservation laws Schwarz, C.; Oliinychenko, D.; Pang, L-G Journal of Physics G: Nuclear and Particle Physics, Vol. 45, Issue 1 https://doi.org/10.1088/1361-6471/aa90eb	journal	November 2017
Binomial acceptance corrections for particle number distributions in high-energy reactions Savchuk, Oleh; Poberezhnyuk, Roman V.; Vovchenko, Volodymyr Physical Review C, Vol. 101, Issue 2 https://doi.org/10.1103/PhysRevC.101.024917	journal	February 2020
The Number of Partitions of a Set Rota, Gian-Carlo The American Mathematical Monthly, Vol. 71, Issue 5 https://doi.org/10.1080/00029890.1964.11992270	journal	May 1964
Traces of the nuclear liquid-gas phase transition in the analytic properties of hot QCD Savchuk, Oleh; Vovchenko, Volodymyr; Poberezhnyuk, Roman V. Physical Review C, Vol. 101, Issue 3 https://doi.org/10.1103/PhysRevC.101.035205	journal	March 2020
Higher order fluctuations and correlations of conserved charges from lattice QCD Borsanyi, Szabolcs; Fodor, Zoltan; Guenther, Jana N. Journal of High Energy Physics, Vol. 2018, Issue 10 https://doi.org/10.1007/JHEP10(2018)205	journal	October 2018
Global baryon number conservation encoded in net-proton fluctuations measured in Pb–Pb collisions at $\sqrt{s_{NN}} = 2.76$ TeV Acharya, S.; Adamová, D.; Adler, A. Physics Letters B, Vol. 807 https://doi.org/10.1016/j.physletb.2020.135564	journal	August 2020
Connecting fluctuation measurements in heavy-ion collisions with the grand-canonical susceptibilities Vovchenko, Volodymyr; Savchuk, Oleh; Poberezhnyuk, Roman V. Physics Letters B, Vol. 811 https://doi.org/10.1016/j.physletb.2020.135868	journal	December 2020
Canonical description of strangeness enhancement from p–A to Pb–Pb collisions Hamieh, Salah; Redlich, Krzysztof; Tounsi, Ahmed Physics Letters B, Vol. 486, Issue 1-2 https://doi.org/10.1016/S0370-2693(00)00762-0	journal	July 2000
A Multivariate Faa di Bruno Formula with Applications Constantine, G.; Savits, T. Transactions of the American Mathematical Society, Vol. 348, Issue 2 https://doi.org/10.1090/S0002-9947-96-01501-2	journal	January 1996
Particlization of an interacting hadron resonance gas with global conservation laws for event-by-event fluctuations in heavy-ion collisions Vovchenko, Volodymyr; Koch, Volker Physical Review C, Vol. 103, Issue 4 https://doi.org/10.1103/PhysRevC.103.044903	journal	April 2021
Incidence algebra antipodes and lagrange inversion in one and several variables Haiman, Mark; Schmitt, William Journal of Combinatorial Theory, Series A, Vol. 50, Issue 2 https://doi.org/10.1016/0097-3165(89)90013-7	journal	March 1989
QCD equation of state to $O (μ_{B}^{6})$ from lattice QCD Bazavov, A.; Ding, H. -T.; Hegde, P. Physical Review D, Vol. 95, Issue 5 https://doi.org/10.1103/PhysRevD.95.054504	journal	March 2017
Cumulants of multiple conserved charges and global conservation laws Vovchenko, Volodymyr; Poberezhnyuk, Roman V.; Koch, Volker Journal of High Energy Physics, Vol. 2020, Issue 10 https://doi.org/10.1007/JHEP10(2020)089	journal	October 2020
Nonmonotonic Energy Dependence of Net-Proton Number Fluctuations Adam, J.; Adamczyk, L.; Adams, J. R. Physical Review Letters, Vol. 126, Issue 9 https://doi.org/10.1103/PhysRevLett.126.092301	journal	March 2021
Microcanonical Particlization with Local Conservation Laws Oliinychenko, Dmytro; Koch, Volker Physical Review Letters, Vol. 123, Issue 18 https://doi.org/10.1103/PhysRevLett.123.182302	journal	October 2019
Erratum: Relation between baryon number fluctuations and experimentally observed proton number fluctuations in relativistic heavy ion collisions [Phys. Rev. C 86 , 024904 (2012)] Kitazawa, Masakiyo; Asakawa, Masayuki Physical Review C, Vol. 86, Issue 6 https://doi.org/10.1103/PhysRevC.86.069902	journal	December 2012
Baryon number conservation and the cumulants of the net proton distribution Bzdak, A.; Koch, V.; Skokov, V. Physical Review C, Vol. 87, Issue 1 https://doi.org/10.1103/PhysRevC.87.014901	journal	January 2013
Longitudinal dynamics of high baryon density matter in high-energy heavy-ion collisions Li, Ming; Shen, Chun Physical Review C, Vol. 98, Issue 6 https://doi.org/10.1103/PhysRevC.98.064908	journal	December 2018
Statistical hadronization and hadronic micro-canonical ensemble II Becattini, F.; Ferroni, L. The European Physical Journal C, Vol. 38, Issue 2 https://doi.org/10.1140/epjc/s2004-02027-8	journal	December 2004
Effects of local event-by-event conservation laws in ultrarelativistic heavy-ion collisions at particlization Oliinychenko, Dmytro; Shi, Shuzhe; Koch, Volker Physical Review C, Vol. 102, Issue 3 https://doi.org/10.1103/PhysRevC.102.034904	journal	September 2020
Erratum to: Statistical hadronization and hadronic microcanonical ensemble II Becattini, F.; Ferroni, L. The European Physical Journal C, Vol. 66, Issue 1-2 https://doi.org/10.1140/epjc/s10052-010-1243-4	journal	January 2010
Event-by-event fluctuations of the charged particle ratio from nonequilibrium transport theory Bleicher, M.; Jeon, S.; Koch, V. Physical Review C, Vol. 62, Issue 6 https://doi.org/10.1103/PhysRevC.62.061902	journal	November 2000
Particle number fluctuations in a canonical ensemble Begun, V. V.; Gaździcki, M.; Gorenstein, M. I. Physical Review C, Vol. 70, Issue 3 https://doi.org/10.1103/PhysRevC.70.034901	journal	September 2004
Energy dependence of multiplicity fluctuations in heavy ion collisions at $20 A$ to $158 A$ GeV Alt, C.; Anticic, T.; Baatar, B. Physical Review C, Vol. 78, Issue 3 https://doi.org/10.1103/PhysRevC.78.034914	journal	September 2008
Proton number cumulants and correlation functions in Au-Au collisions at $\sqrt{s_{N N}} = 7.7$ –200 GeV from hydrodynamics Vovchenko, Volodymyr; Koch, Volker; Shen, Chun Physical Review C, Vol. 105, Issue 1 https://doi.org/10.1103/PhysRevC.105.014904	journal	January 2022
The multivariate Faà di Bruno formula and multivariate Taylor expansions with explicit integral remainder term Leipnik, Roy B.; Pearce, Charles E. M. The ANZIAM Journal, Vol. 48, Issue 3 https://doi.org/10.1017/S1446181100003527	journal	January 2007
Collision-energy dependence of second-order off-diagonal and diagonal cumulants of net-charge, net-proton, and net-kaon multiplicity distributions in Au $+$ Au collisions Adam, J.; Adamczyk, L.; Adams, J. R. Physical Review C, Vol. 100, Issue 1 https://doi.org/10.1103/PhysRevC.100.014902	journal	July 2019
Baryon number fluctuations in the QCD phase diagram from Dyson-Schwinger equations Isserstedt, Philipp; Buballa, Michael; Fischer, Christian S. Physical Review D, Vol. 100, Issue 7 https://doi.org/10.1103/PhysRevD.100.074011	journal	October 2019
Relation between baryon number fluctuations and experimentally observed proton number fluctuations in relativistic heavy ion collisions Kitazawa, Masakiyo; Asakawa, Masayuki Physical Review C, Vol. 86, Issue 2 https://doi.org/10.1103/PhysRevC.86.024904	journal	August 2012
Statistical hadronization and hadronic microcanonical ensemble I Becattini, F.; Ferroni, L. The European Physical Journal C, Vol. 35, Issue 2 https://doi.org/10.1140/epjc/s2004-01850-1	journal	June 2004
Mapping the phases of quantum chromodynamics with beam energy scan Bzdak, Adam; Esumi, ShinIchi; Koch, Volker Physics Reports, Vol. 853 https://doi.org/10.1016/j.physrep.2020.01.005	journal	April 2020

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