Coulomb Corrections for Bose-Einstein Correlations from One- And Three-Dimensional Lévy-Type Source Functions

Abstract

In the study of femtoscopic correlations in high-energy physics, besides Bose--Einstein correlations, one has to take final-state interactions into account. Amongst them, Coulomb interactions play a prominent role in the case of charged particles. Recent measurements have shown that in heavy-ion collisions, Bose--Einstein correlations can be best described by Lévy-type sources instead of the more common Gaussian assumption. Furthermore, three-dimensional measurements have indicated that, depending on the choice of frame, a deviation from spherical symmetry observed under the assumption of Gaussian source functions persists in the case of Lévy-type sources. To clarify such three-dimensional Lévy-type correlation measurements, it is thus important to study the effect of Coulomb interactions in the case of non-spherical Lévy sources. We calculated the Coulomb correction factor numerically in the case of such a source function for assorted kinematic domains and parameter values using the Metropolis--Hastings algorithm and compared our results with previous methods to treat Coulomb interactions in the presence of Lévy sources.

12 pages, 3 figures (Equation (30) corrected in latest version)

References in corpus (7)

• Evidence for a long-range component in the pion emission source in Au+Au collisions at sqrt(s_NN) = 200 GeV
• Source breakup dynamics in Au+Au Collisions at sqrt(s_NN)=200 GeV via three-dimensional two-pion source imaging
• 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
• Centrality-dependent Lévy HBT analysis in $\sqrt{s_{{}_{\text{NN}}}}=5.02$ TeV PbPb collisions at CMS
• Probing the QCD phase diagram with HBT femtoscopy

Cited by in corpus (13)

• Two-pion femtoscopic correlations in Be+Be collisions at $\sqrt{s_{\text{NN}}}=16.84$ GeV measured by the NA61/SHINE at CERN
• Femtoscopy with Lévy sources from SPS through RHIC to LHC
• Pion interferometry with Lévy-stable sources in $\sqrt{s_{NN}}$ = 200 GeV Au+Au collisions at STAR
• Two-particle Bose-Einstein correlations and their Lévy parameters in PbPb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV
• Femtoscopy correlation functions and hadron-hadron scattering amplitudes in presence of Coulomb potential
• Centrality dependence of Lévy-stable two-pion Bose-Einstein correlations in $\sqrt{s_{{}_{NN}}}=200$ GeV Au$+$Au collisions
• Charged Kaon Femtoscopy with Lévy Sources in $\sqrt{s_{\text{NN}}}$ = 200 GeV Au+Au Collisions at PHENIX
• Investigating the excitation function of HBT radii for Lévy-stable sources
• Femtoscopy at NA61/SHINE using symmetric Lévy sources in central ${}^{40}$Ar+${}^{45}$Sc from 40$A$ GeV/$c$ to 150$A$ GeV/$c$
• Femtoscopy analysis in small systems at NA61/SHINE
• 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
• A self-consistent calculation of non-spherical Bose-Einstein correlation functions with Coulomb final-state interaction