https://doi.org/10.1140/epjc/s10052-025-13751-8
Regular Article - Theoretical Physics
Hadron momentum spectra from analytical solutions of relativistic hydrodynamics
1
School of Physical Sciences, National Institute of Science Education and Research, An OCC of Homi Bhabha National Institute, 752050, Jatni, India
2
Institute of Theoretical Physics, Jagiellonian University, ul. St. Łojasiewicza 11, 30-348, Kraków, Poland
3
Department of Physics and Astronomy, University of Florence, Via G. Sansone 1, Sesto Fiorentino, 50019, Florence, Italy
4
Variable Energy Cyclotron Centre, 1/AF, Bidhan Nagar, 700064, Kolkata, India
Received:
2
October
2024
Accepted:
20
December
2024
Published online:
19
January
2025
We present analytical solution of relativistic hydrodynamics for a system having cylindrical symmetry with boost-invariant longitudinal expansion and Hubble-like transverse expansion. We also consider analytical solution for Hubble-like spherically expanding system. For these two cases, we calculate analytical expression for transverse momentum spectra of hadrons, at constant temperature freeze-out hypersurface using Cooper–Frye prescription. We compare our results for transverse momentum spectra with experimental results from Large Hadron Collider and CERN SPS where one expects cylindrical and spherical geometry of the fireball, respectively. In the case of low-energy collisions with spherical geometry, we calculate rapidity spectra and compare with the results from CERN SPS.
© The Author(s) 2025
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