Directed flow of charged particles within idealized viscous hydrodynamics at energies available at the BNL Relativistic Heavy Ion Collider and at the CERN Large Hadron Collider

Ze-Fang Jiang (Department of Physics and Electronic-Information Engineering, Hubei Engineering University, Xiaogan 432000, China; Institute of Particle Physics, Central China Normal University, Wuhan 430079, China; Key Laboratory of Quark and Lepton Physics, Ministry of Education (MOE), Wuhan 430079, China) ; C.B. Yang (Institute of Particle Physics, Central China Normal University, Wuhan 430079, China; Key Laboratory of Quark and Lepton Physics, Ministry of Education (MOE), Wuhan 430079, China) ; Qi Peng (Department of Physics and Electronic-Information Engineering, Hubei Engineering University, Xiaogan 432000, China)

Following the Bożek-Wyskiel parametrization tilted initial condition, an alternative way to construct a longitudinal tilted fireball based on the Glauber collision geometry is presented. This longitudinal tilted initial condition combined with the Ideal-CLVisc (3+1)D hydrodynamic model, a nonvanishing directed flow coefficient v1 in a wide range is observed. After comparing the model's results with experimentally observed data of directed flow coefficient v1(η) from sNN=200GeV Cu+Cu, Au+Au collisions at RHIC energy to sNN=2.76TeV and sNN=5.02TeV Pb+Pb collisions at the LHC energy. One finds that directed flow measurements in heavy-ion collisions can set strong constraints on the imbalance of forward and backward incoming nuclei and on the magnitude asymmetry of pressure gradients along the x direction.

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      "surname": "Peng", 
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  "abstracts": [
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      "source": "APS", 
      "value": "Following the Bo\u017cek-Wyskiel parametrization tilted initial condition, an alternative way to construct a longitudinal tilted fireball based on the Glauber collision geometry is presented. This longitudinal tilted initial condition combined with the Ideal-CLVisc <math><mrow><mo>(</mo><mn>3</mn><mo>+</mo><mn>1</mn><mo>)</mo></mrow><mi>D</mi></math> hydrodynamic model, a nonvanishing directed flow coefficient <math><msub><mi>v</mi><mn>1</mn></msub></math> in a wide range is observed. After comparing the model's results with experimentally observed data of directed flow coefficient <math><mrow><msub><mi>v</mi><mn>1</mn></msub><mrow><mo>(</mo><mi>\u03b7</mi><mo>)</mo></mrow></mrow></math> from <math><mrow><msqrt><msub><mi>s</mi><mrow><mi>N</mi><mi>N</mi></mrow></msub></msqrt><mo>=</mo><mn>200</mn><mspace width=\"4pt\"></mspace><mi>GeV</mi></mrow><mo> </mo><mrow><mtext>Cu</mtext><mo>+</mo><mtext>Cu</mtext></mrow><mo>,</mo><mo> </mo><mrow><mtext>Au</mtext><mo>+</mo><mtext>Au</mtext></mrow></math> collisions at RHIC energy to <math><mrow><msqrt><msub><mi>s</mi><mrow><mi>N</mi><mi>N</mi></mrow></msub></msqrt><mo>=</mo><mn>2.76</mn><mspace width=\"4pt\"></mspace><mi>TeV</mi></mrow></math> and <math><mrow><msqrt><msub><mi>s</mi><mrow><mi>N</mi><mi>N</mi></mrow></msub></msqrt><mo>=</mo><mn>5.02</mn><mspace width=\"4pt\"></mspace><mi>TeV</mi></mrow><mo> </mo><mrow><mtext>Pb</mtext><mo>+</mo><mtext>Pb</mtext></mrow></math> collisions at the LHC energy. One finds that directed flow measurements in heavy-ion collisions can set strong constraints on the imbalance of forward and backward incoming nuclei and on the magnitude asymmetry of pressure gradients along the <math><mi>x</mi></math> direction."
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Published on:
08 December 2021
Publisher:
APS
Published in:
Physical Review C , Volume 104 (2021)
Issue 6
DOI:
https://doi.org/10.1103/PhysRevC.104.064903
arXiv:
2111.01994
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

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