Hadron momentum spectra from analytical solutions of relativistic hydrodynamics

Abstract 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...

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Main Authors: Mahammad Sabir Ali, Deeptak Biswas, Amaresh Jaiswal, Sushant K. Singh
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-025-13751-8
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author Mahammad Sabir Ali
Deeptak Biswas
Amaresh Jaiswal
Sushant K. Singh
author_facet Mahammad Sabir Ali
Deeptak Biswas
Amaresh Jaiswal
Sushant K. Singh
author_sort Mahammad Sabir Ali
collection DOAJ
description Abstract 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.
format Article
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institution Kabale University
issn 1434-6052
language English
publishDate 2025-01-01
publisher SpringerOpen
record_format Article
series European Physical Journal C: Particles and Fields
spelling doaj-art-f952d25edd7845019aba66f7236e59e82025-01-26T12:49:33ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-01-0185111210.1140/epjc/s10052-025-13751-8Hadron momentum spectra from analytical solutions of relativistic hydrodynamicsMahammad Sabir Ali0Deeptak Biswas1Amaresh Jaiswal2Sushant K. Singh3School of Physical Sciences, National Institute of Science Education and Research, An OCC of Homi Bhabha National InstituteSchool of Physical Sciences, National Institute of Science Education and Research, An OCC of Homi Bhabha National InstituteSchool of Physical Sciences, National Institute of Science Education and Research, An OCC of Homi Bhabha National InstituteDepartment of Physics and Astronomy, University of FlorenceAbstract 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.https://doi.org/10.1140/epjc/s10052-025-13751-8
spellingShingle Mahammad Sabir Ali
Deeptak Biswas
Amaresh Jaiswal
Sushant K. Singh
Hadron momentum spectra from analytical solutions of relativistic hydrodynamics
European Physical Journal C: Particles and Fields
title Hadron momentum spectra from analytical solutions of relativistic hydrodynamics
title_full Hadron momentum spectra from analytical solutions of relativistic hydrodynamics
title_fullStr Hadron momentum spectra from analytical solutions of relativistic hydrodynamics
title_full_unstemmed Hadron momentum spectra from analytical solutions of relativistic hydrodynamics
title_short Hadron momentum spectra from analytical solutions of relativistic hydrodynamics
title_sort hadron momentum spectra from analytical solutions of relativistic hydrodynamics
url https://doi.org/10.1140/epjc/s10052-025-13751-8
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AT deeptakbiswas hadronmomentumspectrafromanalyticalsolutionsofrelativistichydrodynamics
AT amareshjaiswal hadronmomentumspectrafromanalyticalsolutionsofrelativistichydrodynamics
AT sushantksingh hadronmomentumspectrafromanalyticalsolutionsofrelativistichydrodynamics