Measurement of system size dependence of directed flow of protons (anti-protons) at RHIC

Title: Measurement of system size dependence of directed flow of protons (anti-protons) at RHIC

PAs: Jinhui Chen, Aditya Prasad Dash, Huan Huang, Hao Qiu, Diyu Shen, Subhash Singha, Aihong Tang, Muhammad Farhan Taseer and Gang Wang

Target journal: 
Phys. Rev. Lett.


Abstract:

We present the rapidity dependence of directed flow (v1) and its slope (dv1/dy) for π±, K± and p() as a function of centrality in Au+Au and Isobar (Ru+Ru and Zr+Zr) collisions at √sNN = 200 GeV, and in U+U collisions at √sNN = 193 GeV, as measured by the STAR experiment at RHIC. The slope dv1/dy for p(p̅) and the difference Δ(dv1/dy) exhibit a clear system size dependence, with an ordering of U+U > Au+Au > Isobar (Ru+Ru and Zr+Zr), while total baryons (p + p̅) remain independent of system size. This is the first observation of system size dependence of the v1 and Δ(dv1/dy) of baryons. In contrast, the mesons (π± and K±), show no dependence on system size, consistent with previous findings at RHIC for inclusive particles [1]. A hydrodynamic model incorporating an inhomogeneous baryonic profile and electromagnetic field effects can explain the observed patterns in the data. The system-size dependence of Δ(dv₁/dy) for protons in central collisions is likely dominated by enhanced baryon stopping in larger systems, where electromagnetic fields play a negligible role. In contrast, mid-central and peripheral collisions may arise from a combination of baryon transport and electromagnetic field effects. These measurements of v₁ across different centralities and system sizes offer valuable insights into the strength of electromagnetic fields, the medium's electrical conductivity, the baryon deposition and transport properties of the QCD medium [2, 3].

References:

  1. STAR Collaboration, Phys. Rev. Lett. 101, 252301
  2. STAR Collaboration, Phys. Rev. X 14, 011028
  3. T Parida et al, arXiv: 2503.04660


Summary:

  1. We observed a system size dependent v1 and Δ(dv1/dy) for protons (antiprotons) among three different collision systems at similar collision energy
  2. In contrast, the mesons (pions and kaons) as well as total baryons (p + p̅) are found to be independent of system size 
  3. These results will help understand baryon deposition (such as baryon stopping mechanism) in heavy-ion collisions and provide constraint on baryon transport (such as baryon diffusion)
  4. These results will provide constraint on the strength and lifetime of the electromagnetic field as well as the electrical conductivity of the QGP 


Proposed Figures:

 Fig 1: v1 as a function of rapidity for π±, K±, protons and anti-protons in U+U, Au+Au and isobar (Ru+Ru and Zr+Zr) collisions at √sNN = 193 and 200 GeV. Transverse momentum (pT) and total momentum in collision center-of-mass frame (p) are specified in figure legends.

 


 
Fig 2:
dv1/dy as a function of centrality for π±, K±, protons and anti-protons in U+U, Au+Au and isobar (Ru+Ru and Zr+Zr) collisions at √sNN = 193 and 200 GeV.

 

 Fig 3: Δ(dv1/dy) and Σ(dv1/dy) as a function of centrality for pions, kaons and protons in U+U, Au+Au and isobar (Ru+Ru and Zr+Zr) collisions at √sNN = 193 and 200 GeV.

Analysis Note: STAR/system/files/userfiles/6641/Analysis_Note_UU_Collisions_193_GeV.pdf

Analysis Code: /star/u/mftaseer/uu_v1

Paper Proposal:

  1. STAR/system/files/userfiles/6641/PWGC_Presentation_U+U Collisions @ 193 GeV (22-04-2025)(3).pdf
  2. STAR/system/files/userfiles/6641/U+U Collisions @ 193 GeV (Paper Proposal) 16_10_2024.pdf
  3. STAR/system/files/userfiles/6641/FCV_Comments_U+U Collisions @ 193 GeV (Paper Proposal) 13_11_2024.pdf

Supporting documents:

SQM-2024:
STAR/system/files/userfiles/6641/Measurement of charge-dependent directed flow in STAR Beam Energy Scan (BES-II) Au+Au and U+U Collisions.pdf

 
FCV Meetings:

  1.  STAR/system/files/userfiles/6641/TASEER_UU_FCV (10-01-24).pdf
  2.  STAR/system/files/userfiles/6641/TASEER_UU_FCV (1-05-2024).pdf