Pion interferometry with Lévy-stable sources in $\sqrt{s_{NN}}$ = 200 GeV Au+Au collisions at STAR

Abstract

Measurements of femtoscopic correlations in high-energy heavy-ion collisions aim to unravel the space-time structure of the particle-emitting source (the quark-gluon plasma). Recent results indicate that the pion pair source exhibits a power-law behavior and can be described well by a Lévy distribution. In this study, Lévy fits were performed to the measured one-dimensional two-pion correlation functions in Au+Au collisions at $\sqrt{s_{NN}}$=200 GeV. The three extracted source parameters are the Lévy scale parameter, $R$, which relates to the size of the source; the correlation strength parameter, $\lambda$; and the Lévy exponent, $\alpha$, which characterizes the power-law tail of the source. In this paper, we report the current status of the analysis of the extracted Lévy source parameters and present their dependence on average transverse mass, $m_T$, and on centrality.

9 pages, 5 figures, ISMD 2023 conference proceedings

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• Bose-Einstein or HBT correlations and the anomalous dimension of QCD
• Event-by-event investigation of the two-particle source function in $\sqrt{s_{{}_{\text{NN}}}}=2.76$ TeV PbPb collisions with EPOS
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Cited by in corpus (12)

• Imaging Freeze-out Sources and Extracting Strong Interaction Parameters in Relativistic Heavy-Ion Collisions
• Femtoscopy with Lévy sources from SPS through RHIC to LHC
• Lévy walk of pions in heavy-ion collisions
• Centrality dependence of Lévy-stable two-pion Bose-Einstein correlations in $\sqrt{s_{{}_{NN}}}=200$ GeV Au$+$Au collisions
• Simple Lévy-$\alpha$ stable model analysis of elastic $pp$ and $p\bar{p}$ low-$|t|$ data from SPS to LHC energies
• Three-dimensional sizes and shapes of pion emission in heavy-ion collisions
• Femtoscopy at NA61/SHINE using symmetric Lévy sources in central ${}^{40}$Ar+${}^{45}$Sc from 40$A$ GeV/$c$ to 150$A$ GeV/$c$
• Investigating the excitation function of HBT radii for Lévy-stable sources
• A self-consistent calculation of non-spherical Bose-Einstein correlation functions with Coulomb final-state interaction
• Exploring the Big Bang with femtoscopy
• Multi-dimensional investigation of the pion pair-source in heavy-ion collisions with EPOS
• Geometry of particle emission in UrQMD Ar+Sc collisions at SPS energies