Transverse momentum fluctuations and their correlation with elliptic flow in nuclear collision
Abstract
In this article, we propose observables v0 and v0(pT) which quantify the relative fluctuations in the total transverse momentum at fixed multiplicity. We first study the factorization of the fixed multiplicity momentum dependent two particle correlation function into a product of v0($$p^{a}_{T}$$) and v0($$p^{b}_{T}$$) within realistic hydrodynamic simulations. Then we present computations of v0(pT) for different particle types. We determine the relation between the integrated v0 and previously measured observables, and compare results from a hybrid hydrodynamics based model to experimental data. The effects of bulk viscosity and an initial pre-equilibrium stage on the results are quantified. We find that v0 is strongly correlated with the initial state entropy per elliptic area, S/A. Using this result, we explain how the observed correlations between the elliptic flow and the transverse momentum (both in simulations and experiment) reflect the initial state correlations between 1/A and ellipticity ε2 at fixed multiplicity. Furthermore, we argue that the systematic experimental study of v0, with the same sophistication as used for the other vn, can contribute significantly to our understanding of quark gluon plasma properties.
- Authors:
-
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Wayne State Univ., Detroit, MI (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
- Stony Brook Univ., NY (United States)
- Publication Date:
- Research Org.:
- Brookhaven National Lab. (BNL), Upton, NY (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1646590
- Report Number(s):
- BNL-216221-2020-JAAM
Journal ID: ISSN 2469-9985; TRN: US2202965
- Grant/Contract Number:
- SC0012704; SC0013460; FG02-08ER41450; AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review C
- Additional Journal Information:
- Journal Volume: 102; Journal Issue: 3; Journal ID: ISSN 2469-9985
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Schenke, Bjoern, Shen, Chun, and Teaney, Derek. Transverse momentum fluctuations and their correlation with elliptic flow in nuclear collision. United States: N. p., 2020.
Web. doi:10.1103/PhysRevC.102.034905.
Schenke, Bjoern, Shen, Chun, & Teaney, Derek. Transverse momentum fluctuations and their correlation with elliptic flow in nuclear collision. United States. https://doi.org/10.1103/PhysRevC.102.034905
Schenke, Bjoern, Shen, Chun, and Teaney, Derek. Mon .
"Transverse momentum fluctuations and their correlation with elliptic flow in nuclear collision". United States. https://doi.org/10.1103/PhysRevC.102.034905. https://www.osti.gov/servlets/purl/1646590.
@article{osti_1646590,
title = {Transverse momentum fluctuations and their correlation with elliptic flow in nuclear collision},
author = {Schenke, Bjoern and Shen, Chun and Teaney, Derek},
abstractNote = {In this article, we propose observables v0 and v0(pT) which quantify the relative fluctuations in the total transverse momentum at fixed multiplicity. We first study the factorization of the fixed multiplicity momentum dependent two particle correlation function into a product of v0($p^{a}_{T}$) and v0($p^{b}_{T}$) within realistic hydrodynamic simulations. Then we present computations of v0(pT) for different particle types. We determine the relation between the integrated v0 and previously measured observables, and compare results from a hybrid hydrodynamics based model to experimental data. The effects of bulk viscosity and an initial pre-equilibrium stage on the results are quantified. We find that v0 is strongly correlated with the initial state entropy per elliptic area, S/A. Using this result, we explain how the observed correlations between the elliptic flow and the transverse momentum (both in simulations and experiment) reflect the initial state correlations between 1/A and ellipticity ε2 at fixed multiplicity. Furthermore, we argue that the systematic experimental study of v0, with the same sophistication as used for the other vn, can contribute significantly to our understanding of quark gluon plasma properties.},
doi = {10.1103/PhysRevC.102.034905},
journal = {Physical Review C},
number = 3,
volume = 102,
place = {United States},
year = {2020},
month = {9}
}
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Works referenced in this record:
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
Flow study in relativistic nuclear collisions by Fourier expansion of azimuthal particle distributions
journal, May 1996
- Voloshin, S.; Zhang, Y.
- Zeitschrift f�r Physik C Particles and Fields, Vol. 70, Issue 4
Bayesian calibration of a hybrid nuclear collision model using and Pb-Pb data at energies available at the CERN Large Hadron Collider
journal, February 2020
- Moreland, J. Scott; Bernhard, Jonah E.; Bass, Steffen A.
- Physical Review C, Vol. 101, Issue 2
The iEBE-VISHNU code package for relativistic heavy-ion collisions
dataset, January 2019
- Shen, Chun
- Mendeley
Fluctuations of harmonic and radial flow in heavy ion collisions with principal components
journal, February 2016
- Mazeliauskas, Aleksas; Teaney, Derek
- Physical Review C, Vol. 93, Issue 2
-dependent particle number fluctuations from principal-component analyses in hydrodynamic simulations of heavy-ion collisions
journal, November 2019
- Gardim, Fernando G.; Grassi, Frédérique; Ishida, Pedro
- Physical Review C, Vol. 100, Issue 5
Microscopic models for ultrarelativistic heavy ion collisions
journal, January 1998
- Bass, S.
- Progress in Particle and Nuclear Physics, Vol. 41
Multiparticle and charge-dependent azimuthal correlations in heavy-ion collisions at the Relativistic Heavy-Ion Collider
journal, April 2019
- Schenke, Björn; Shen, Chun; Tribedy, Prithwish
- Physical Review C, Vol. 99, Issue 4
Transverse-momentum–flow correlations in relativistic heavy-ion collisions
journal, April 2016
- Bożek, Piotr
- Physical Review C, Vol. 93, Issue 4
Principal Component Analysis of Event-by-Event Fluctuations
journal, April 2015
- Bhalerao, Rajeev S.; Ollitrault, Jean-Yves; Pal, Subrata
- Physical Review Letters, Vol. 114, Issue 15
Event-by-event gluon multiplicity, energy density, and eccentricities in ultrarelativistic heavy-ion collisions
journal, September 2012
- Schenke, Björn; Tribedy, Prithwish; Venugopalan, Raju
- Physical Review C, Vol. 86, Issue 3
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
Introduction to hydrodynamics
journal, October 2015
- Jeon, Sangyong; Heinz, Ulrich
- International Journal of Modern Physics E, Vol. 24, Issue 10
Event-by-event mean $$\varvec{p}_{\mathbf {T}}$$ p T fluctuations in pp and Pb–Pb collisions at the LHC
journal, October 2014
- Abelev, B.; Adam, J.; Adamová, D.
- The European Physical Journal C, Vol. 74, Issue 10
Incident energy dependence of correlations at relativistic energies
journal, October 2005
- Adams, J.; Aggarwal, M. M.; Ahammed, Z.
- Physical Review C, Vol. 72, Issue 4
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
Computing quark and gluon distribution functions for very large nuclei
journal, March 1994
- McLerran, Larry; Venugopalan, Raju
- Physical Review D, Vol. 49, Issue 5
Principal-component analysis of two-particle azimuthal correlations in PbPb and collisions at CMS
journal, December 2017
- Sirunyan, A. M.; Tumasyan, A.; Adam, W.
- Physical Review C, Vol. 96, Issue 6
Fluctuating Glasma Initial Conditions and Flow in Heavy Ion Collisions
journal, June 2012
- Schenke, Björn; Tribedy, Prithwish; Venugopalan, Raju
- Physical Review Letters, Vol. 108, Issue 25
Size fluctuations of the initial source and event-by-event transverse momentum fluctuations in relativistic heavy-ion collisions
journal, November 2009
- Broniowski, Wojciech; Chojnacki, Mikolaj; Obara, Łukasz
- Physical Review C, Vol. 80, Issue 5
Equation of state in ( )-flavor QCD
journal, November 2014
- Bazavov, A.; Bhattacharya, Tanmoy; DeTar, C.
- Physical Review D, Vol. 90, Issue 9
Transverse momentum fluctuations in ultrarelativistic and collisions with “wounded” quarks
journal, July 2017
- Bożek, Piotr; Broniowski, Wojciech
- Physical Review C, Vol. 96, Issue 1
Elliptic and Triangular Flow in Event-by-Event Viscous Hydrodynamics
journal, January 2011
- Schenke, Björn; Jeon, Sangyong; Gale, Charles
- Physical Review Letters, Vol. 106, Issue 4
Matching the Nonequilibrium Initial Stage of Heavy Ion Collisions to Hydrodynamics with QCD Kinetic Theory
journal, March 2019
- Kurkela, Aleksi; Mazeliauskas, Aleksas; Paquet, Jean-François
- Physical Review Letters, Vol. 122, Issue 12
Bulk and shear viscosities of matter created in relativistic heavy-ion collisions
journal, March 2010
- Bożek, Piotr
- Physical Review C, Vol. 81, Issue 3
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
Thermodynamics of hot strong-interaction matter from ultrarelativistic nuclear collisions
journal, March 2020
- Gardim, Fernando G.; Giacalone, Giuliano; Luzum, Matthew
- Nature Physics, Vol. 16, Issue 6
Growth of Long Range Forward-Backward Multiplicity Correlations with Centrality in Collisions at
journal, October 2009
- Abelev, B. I.; Aggarwal, M. M.; Ahammed, Z.
- Physical Review Letters, Vol. 103, Issue 17
Radiative energy loss and spectra for viscous hydrodynamics
journal, March 2010
- Dusling, Kevin; Moore, Guy D.; Teaney, Derek
- Physical Review C, Vol. 81, Issue 3
Measuring momentum-dependent flow fluctuations in heavy-ion collisions
journal, March 2020
- Hippert, M.; Chinellato, D. D.; Luzum, M.
- Physical Review C, Vol. 101, Issue 3
Initial state fluctuations and final state correlations in relativistic heavy-ion collisions
journal, May 2014
- Luzum, Matthew; Petersen, Hannah
- Journal of Physics G: Nuclear and Particle Physics, Vol. 41, Issue 6
Importance of the Bulk Viscosity of QCD in Ultrarelativistic Heavy-Ion Collisions
journal, September 2015
- Ryu, S.; Paquet, J. -F.; Shen, C.
- Physical Review Letters, Vol. 115, Issue 13
The iEBE-VISHNU code package for relativistic heavy-ion collisions
dataset, January 2019
- Shen, Chun
- Mendeley
(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
Correlation coefficient between harmonic flow and transverse momentum in heavy-ion collisions
journal, June 2020
- Bożek, Piotr; Mehrabpour, Hadi
- Physical Review C, Vol. 101, Issue 6
Measurement of flow harmonics correlations with mean transverse momentum in lead–lead and proton–lead collisions at $$\sqrt{s_{\mathrm{NN}}} = 5.02~\hbox {TeV}$$sNN=5.02TeV with the ATLAS detector
journal, December 2019
- Aad, G.; Abbott, B.; Abbott, D. C.
- The European Physical Journal C, Vol. 79, Issue 12
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
Partial correlation analysis method in ultrarelativistic heavy-ion collisions
journal, November 2017
- Olszewski, Adam; Broniowski, Wojciech
- Physical Review C, Vol. 96, Issue 5
Observation of Anisotropic Event Shapes and Transverse Flow in Ultrarelativistic Au + Au Collisions
journal, November 1994
- Barrette, J.; Bellwied, R.; Bennett, S.
- Physical Review Letters, Vol. 73, Issue 19
Higher flow harmonics from D event-by-event viscous hydrodynamics
journal, February 2012
- Schenke, Björn; Jeon, Sangyong; Gale, Charles
- Physical Review C, Vol. 85, Issue 2
Scaling of multiplicity distributions in high energy hadron collisions
journal, January 1972
- Koba, Z.; Nielsen, H. B.; Olesen, P.
- Nuclear Physics B, Vol. 40
Flow in AA and pA as an interplay of fluid-like and non-fluid like excitations
journal, November 2019
- Kurkela, Aleksi; Wiedemann, Urs Achim; Wu, Bin
- The European Physical Journal C, Vol. 79, Issue 11
Gluon distribution functions for very large nuclei at small transverse momentum
journal, April 1994
- McLerran, Larry; Venugopalan, Raju
- Physical Review D, Vol. 49, Issue 7
Transverse-momentum fluctuations in relativistic heavy-ion collisions from event-by-event viscous hydrodynamics
journal, April 2012
- Bożek, Piotr; Broniowski, Wojciech
- Physical Review C, Vol. 85, Issue 4
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
Anisotropy as a signature of transverse collective flow
journal, July 1992
- Ollitrault, Jean-Yves
- Physical Review D, Vol. 46, Issue 1
The iEBE-VISHNU code package for relativistic heavy-ion collisions
journal, February 2016
- Shen, Chun; Qiu, Zhi; Song, Huichao
- Computer Physics Communications, Vol. 199