Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Microscopic study of baryon stopping in low-energy heavy-ion collisions within the UrQMD model

Sudhir Pandurang Rode*

  • *Contact author: sudhirrode11@gmail.com; sudhir@jinr.ru

Phys. Rev. C 114, 034908 – Published 11 September, 2026

DOI: https://doi.org/10.1103/fp85-w4l2

Abstract

In low-energy heavy-ion collisions, baryon stopping is an important process, in which protons from the initial colliding nuclei are stopped at the midrapidity region. Quantifying such stopping can reveal information on the properties of the nuclear medium, such as net-baryon density. Although experimental measurement of net-proton rapidity spectra provides constraints, the microscopic origin of such protons is not fully accessible. Transport model studies can therefore provide deeper insight into the microscopic origin of protons that are transported from initial nuclei, complementing experimental measurements. This article presents an investigation of baryon stopping in minimum-bias Au+Au collisions over a wide range of beam energies, sNN=2.417.3 GeV (Elab=1.23A158A GeV). Final-state protons are classified based on their origin by analyzing their interaction history in the UrQMD model. It is found that a significant fraction of transported protons at midrapidity originates from initial neutrons rather than initial protons, referred to as isospin-converted protons, and their contribution as a function of collision energy and centrality is quantified. Anisotropic flow coefficients of different proton categories are estimated and compared with experimental measurements. Furthermore, a comparison between the π/π+ ratio and isospin conversion rate is performed. The isospin conversion rate is further compared with the α parameters of the Kitazawa-Asakawa formalism, revealing a significant deviation from the chemical equilibrium assumption αN=απ below sNN10 GeV. Finally, the saturation of the isospin conversion rate is found to coincide with the onset of nuclear transparency, demonstrating that isospin randomization and baryon stopping are coupled phenomena in hadronic transport across the NICA/FAIR energy range.

Physics Subject Headings (PhySH)

Article Text

References (48)

  1. W. Florkowski, Basic phenomenology for relativistic heavy ion collisions, Acta Phys. Pol. B 45, 2329 (2014).
  2. U. W. Heinz, Concepts of heavy-ion physics, 2nd CERN-CLAF School of High Energy Physics (2004), pp. 165–238; arXiv:hep-ph/0407360.
  3. P. Braun-Munzinger and J. Wambach, Colloquium: Phase diagram of strongly interacting matter, Rev. Mod. Phys. 81, 1031 (2009).
  4. J. Adams et al. (STAR Collaboration), Experimental and theoretical challenges in the search for the quark–gluon plasma: The STAR Collaboration's critical assessment of the evidence from RHIC collisions, Nucl. Phys. A 757, 102 (2005).
  5. K. Adcox et al. (PHENIX Collaboration), Formation of dense partonic matter in relativistic nucleus–nucleus collisions at RHIC: Experimental evaluation by the PHENIX Collaboration, Nucl. Phys. A 757, 184 (2005).
  6. K. Aamodt et al. (ALICE Collaboration), Higher harmonic anisotropic flow measurements of charged particles in Pb-Pb collisions at sNN=2.76TeV, Phys. Rev. Lett. 107, 032301 (2011).
  7. G. Aad et al. (ATLAS Collaboration), Measurement of the azimuthal anisotropy for charged particle production in sNN=2.76 TeV lead-lead collisions with the ATLAS detector, Phys. Rev. C 86, 014907 (2012).
  8. S. Chatrchyan et al. (CMS Collaboration), Measurement of higher-order harmonic azimuthal anisotropy in Pb-Pb collisions at sNN=2.76 TeV, Phys. Rev. C 89, 044906 (2014).
  9. E. Shuryak, Strongly coupled quark-gluon plasma in heavy ion collisions, Rev. Mod. Phys. 89, 035001 (2017); U. Heinz, C. Shen, and H. Song, The viscosity of quark-gluon plasma at RHIC and the LHC, AIP Conf. Proc. 1441, 766 (2012).
  10. T. Ablyazimov et al. (CBM Collaboration), Challenges in QCD matter physics–The scientific programme of the Compressed Baryonic Matter experiment at FAIR, Eur. Phys. J. A 53, 60 (2017).
  11. V. Toneev, The NICA/MPD project at JINR (Dubna), PoS CPOD07, 057 (2007).
  12. V. Abgaryan et al. (The MPD Collaboration), Status and initial physics performance studies of the MPD experiment at NICA, Eur. Phys. J. A 58, 140 (2022).
  13. R. Abdulin et al. (MPD Collaboration), MPD physics performance studies in Bi+Bi collisions at sNN=9.2GeV, Rev. Mex. Fis. 71, 041201 (2025).
  14. J. Mohs, S. Ryu, and H. Elfner, Can baryon stopping be understood within a hadronic transport approach, MDPI Proc. 10, 2 (2019).
  15. Y. B. Ivanov and D. Blaschke, Baryon stopping in heavy-ion collisions at Elab=2A200A GeV, Eur. Phys. J. A 52, 237 (2016).
  16. C. Alt et al. (NA49 Collaboration), Pion and kaon production in central Pb+Pb collisions at 20A and 30A GeV: Evidence for the onset of deconfinement, Phys. Rev. C 77, 024903 (2008).
  17. S. V. Afanasiev et al. (The NA49 Collaboration), Energy dependence of pion and kaon production in central Pb+Pb collisions, Phys. Rev. C 66, 054902 (2002).
  18. C. Alt et al. (NA49 Collaboration), Directed and elliptic flow of charged pions and protons in Pb+Pb collisions at 40A and 158AGeV, Phys. Rev. C 68, 034903 (2003).
  19. J. L. Klay et al. (E-0895 Collaboration), Charged pion production in 2A to 8AGeV central Au+Au collisions, Phys. Rev. C 68, 054905 (2003).
  20. J. L. Klay et al. (E895 Collaboration), Longitudinal flow of protons from (28)AGeV central Au+Au collisions, Phys. Rev. Lett. 88, 102301 (2002).
  21. B. B. Back et al. (E917 Collaboration), Baryon rapidity loss in relativistic Au+Au collisions, Phys. Rev. Lett. 86, 1970 (2001).
  22. I. C. Arsene et al. (BRAHMS Collaboration), Nuclear stopping and rapidity loss in Au+Au collisions at sNN=62.4GeV, Phys. Lett. B 677, 267 (2009).
  23. S. A. Bass et al., Microscopic models for ultrarelativistic heavy ion collisions, Prog. Part. Nucl. Phys. 41, 255 (1998).
  24. M. Bleicher et al., Relativistic hadron-hadron collisions in the ultrarelativistic quantum molecular dynamics model, J. Phys. G: Nucl. Part. Phys. 25, 1859 (1999).
  25. J. Weil et al. (SMASH Collaboration), Particle production and equilibrium properties within a new hadron transport approach for heavy-ion collisions, Phys. Rev. C 94, 054905 (2016).
  26. H. Weber, E. L. Bratkovskaya, and H. Stöcker, Baryon stopping and strange baryon and antibaryon production at ultrarelativistic energies, Phys. Rev. C 66, 054903 (2002).
  27. J. Mohs et al. (SMASH Collaboration), Particle production via strings and baryon stopping within a hadronic transport approach, J. Phys. G: Nucl. Part. Phys. 47, 065101 (2020).
  28. Y. B. Ivanov, Baryon stopping in heavy-ion collisions at Elab=2160GeV/nucleon, Phys. Lett. B 690, 358 (2010).
  29. Y. B. Ivanov, Baryon stopping as a probe of deconfinement onset in relativistic heavy-ion collisions, Phys. Lett. B 721, 123 (2013).
  30. Y. B. Ivanov, Elliptic flow of protons and antiprotons in Au + Au collisions at sNN=7.762.4GeV within alternative scenarios of three-fluid dynamics, Phys. Lett. B 723, 475 (2013).
  31. Y. B. Ivanov and D. Blaschke, Robustness of the baryon-stopping signal for the onset of deconfinement in relativistic heavy-ion collisions, Phys. Rev. C 92, 024916 (2015).
  32. D. Thakur, S. Jakhar, P. Garg, and R. Sahoo, Estimation of stopped protons at energies relevant for a beam energy scan at the BNL Relativistic Heavy Ion Collider, Phys. Rev. C 95, 044903 (2017).
  33. Y. Zhong and S. Q. Feng, Rapidity distributions of net protons from AGS to LHC energy regions, Chin. Phys. C 34, 1085 (2010).
  34. R. Kuiper and G. Wolschin, The self-energy of the uniform electron gas in the second order of exchange, Ann. Phys. 519, 45 (2007).
  35. M. Kitazawa and M. Asakawa, Relation between baryon number fluctuations and experimentally observed proton number fluctuations in relativistic heavy ion collisions, Phys. Rev. C 86, 024904 (2012); 86, 069902(E) (2012).
  36. M. Kitazawa and M. Asakawa, Revealing baryon number fluctuations from proton number fluctuations in relativistic heavy ion collisions, Phys. Rev. C 85, 021901(R) (2012).
  37. UrQMD manual, https://itp.uni-frankfurt.de/%7Ebleicher/UrQMD_user_manual.pdf.
  38. J. Adamczewski-Musch et al. (HADES Collaboration), Centrality determination of Au + Au collisions at 1.23A GeV with HADES, Eur. Phys. J. A 54, 85 (2018).
  39. A. Andronic et al. (FOPI Collaboration), Excitation function of elliptic flow in Au+Au collisions and the nuclear matter equation of state, Phys. Lett. B 612, 173 (2005).
  40. H. Liu et al. (E895 Collaboration), Sideward flow in Au+Au collisions between 2A and 8A GeV, Phys. Rev. Lett. 84, 5488 (2000).
  41. J. Adamczewski-Musch et al. (HADES Collaboration), Directed, elliptic, and higher order flow harmonics of protons, deuterons, and tritons in Au+Au collisions at sNN=2.4GeV, Phys. Rev. Lett. 125, 262301 (2020).
  42. J. Adam et al. (STAR Collaboration), Flow and interferometry results from Au+Au collisions at sNN=4.5 GeV, Phys. Rev. C 103, 034908 (2021).
  43. L. Adamczyk et al. (STAR Collaboration), Beam-energy dependence of the directed flow of protons, antiprotons, and pions in Au+Au collisions, Phys. Rev. Lett. 112, 162301 (2014).
  44. C. Pinkenburg et al. (E895 Collaboration), Elliptic flow: Transition from out-of-plane to in-plane emission in Au+Au collisions, Phys. Rev. Lett. 83, 1295 (1999).
  45. J. Adamczewski-Musch et al. (HADES Collaboration), Identical pion intensity interferometry at sNN=2.4GeV, Eur. Phys. J. A 56, 140 (2020).
  46. J. Xu, C. M. Ko, and Y. Oh, Isospin-dependent pion in-medium effects on the charged-pion ratio in heavy ion collisions, Phys. Rev. C 81, 024910 (2010).
  47. Z. W. Lin, C. M. Ko, B. A. Li, B. Zhang, and S. Pal, Multiphase transport model for relativistic heavy ion collisions, Phys. Rev. C 72, 064901 (2005).
  48. Y. Nara, JAM: An event generator for high energy nuclear collisions, EPJ Web Conf. 208, 11004 (2019).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation