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Title: Transverse momentum fluctuations and their correlation with elliptic flow in nuclear collision

Abstract

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:
 [1];  [2];  [3]
  1. Brookhaven National Lab. (BNL), Upton, NY (United States)
  2. Wayne State Univ., Detroit, MI (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
  3. Stony Brook Univ., NY (United States)
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
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
Grant/Contract Number:  
SC0012704
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. https://doi.org/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. Sat . "Transverse momentum fluctuations and their correlation with elliptic flow in nuclear collision". United States. https://doi.org/10.1103/PhysRevC.102.034905.
@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 = {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 = {7}
}

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