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  • Letter
  • Open Access

Family of new exact solutions for longitudinally expanding ideal fluids

Shuzhe Shi1,2,*, Sangyong Jeon1, and Charles Gale1

  • 1Department of Physics, McGill University, 3600 University Street, Montreal, Quebec, Canada H3A 2T8
  • 2Department of Physics and Astronomy, Center for Nuclear Theory, Stony Brook University, Stony Brook, New York 11794-3800, USA

  • *shuzhe.shi@stonybrook.edu
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Phys. Rev. C 105, L021902 – Published 22 February, 2022

DOI: https://doi.org/10.1103/PhysRevC.105.L021902

Abstract

We report on the discovery of new analytical solutions of the equations of relativistic ideal hydrodynamics. In this solution, the fluid expands in the longitudinal direction and contains a plateau structure that extends over a finite range in rapidity and can be either symmetric or asymmetric in that variable. We further calculate the corresponding pseudorapidity distribution of hadron yields, and find decent agreement with experimental measurements in high-energy Pb + Pb, Au + Au, p + Pb, and d + Au collisions.

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Phys. Rev. C 105, L021902– Published 22 February, 2022
  • Received 25 January 2022
  • Accepted 10 February 2022
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