Femtoscopy with Lévy sources from SPS through RHIC to LHC

Abstract

Femtoscopy is a unique tool to investigate the space-time geometry of the matter created in ultra-relativistic collisions. If the probability density distribution of hadron emission is parametrized, then the dependence of its parameters on particle momentum, collision energy, and collision geometry can be given. In recent years, several measurements came to light that indicated the adequacy of assuming a Lévy-stable shape for the mentioned distribution. In parallel, several new phenomenological developments appeared, aiding the interpretation of the experimental results or providing tools for the measurements. In this paper, we discuss important aspects of femtoscopy with Lévy sources in light of some of these advances, including phenomenological and experimental ones.

14 pages, 5 figures, contribution to the 52nd International Symposium on Multiparticle Dynamics (ISMD 2023). One additional plot (right plot of Fig. 2) and discussion added in December, 2024

References in corpus (12)

• Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents
• Observation of the critical end point in the phase diagram for hot and dense nuclear matter
• Extracting baryon-antibaryon strong interaction potentials from p$\bar{\Lambda }$ femtoscopic correlation function
• Event-by-event investigation of the two-particle source function in heavy-ion collisions with EPOS
• Bose-Einstein or HBT correlations and the anomalous dimension of QCD
• Finite-size scaling of the random-field Ising model above the upper critical dimension
• Event-by-event investigation of the two-particle source function in $\sqrt{s_{{}_{\text{NN}}}}=2.76$ TeV PbPb collisions with EPOS
• Pion interferometry with Lévy-stable sources in $\sqrt{s_{NN}}$ = 200 GeV Au+Au collisions at STAR
• A novel method for calculating Bose-Einstein correlation functions with Coulomb final-state interaction
• Femtoscopic correlation measurement with symmetric Lévy-type source at NA61/SHINE
• Kaon femtoscopy with Lévy-stable sources from $\sqrt{s_{{}_{\mathrm{NN}}}}=200$ GeV $\mathrm{Au}+\mathrm{Au}$ collisions at RHIC
• Charged Kaon Femtoscopy with Lévy Sources in $\sqrt{s_{\text{NN}}}$ = 200 GeV Au+Au Collisions at PHENIX

Cited by in corpus (13)

• Femtoscopy correlation functions and hadron-hadron scattering amplitudes in presence of Coulomb potential
• 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
• 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
• Three-dimensional sizes and shapes of pion emission in heavy-ion collisions
• Effect of an Expanding Charged Cloud on two-particle Bose-Einstein Correlations
• Exploring the Big Bang with femtoscopy
• A self-consistent calculation of non-spherical Bose-Einstein correlation functions with Coulomb final-state interaction
• Geometry of particle emission in UrQMD Ar+Sc collisions at SPS energies
• Coulomb interacting Bose-Einstein correlations in Fourier space
• Multi-dimensional investigation of the pion pair-source in heavy-ion collisions with EPOS
• Corrections to the Smoothness and On-Shell Approximations in Femtoscopy and Coalescence