Coulomb and strong interactions in the final state of HBT correlations for Lévy type source functions

Abstract

We present detailed calculations about the expected shape of two-pion Bose-Einstein (or HBT) correlations in high energy heavy ion collisions that include a realistic treatment of final state Coulomb interaction as well as strong interactions (dominated by s-wave scattering). We assume Lévy type source functions, a generalization that goes beyond the Gaussian approximation. Various recent experimental results found the use of such source types necessary to properly describe the shape of the measured correlation functions. We find that strong final state interactions may play an important role in the shape of the two-pion correlation functions, especially if one considers source parameters beyond the Gaussian HBT radii. Precise experimental determination of these source parameters (such as Lévy stability exponent, correlation strength, etc.) seems to require the inclusion of the treatment of strong interaction not just for heavier particles (e.g. protons, lambdas) but also in case of two-pion measurements.

This research was supported by the NKFIH grants K-128713, FK-123842 and FK-123959

References in corpus (3)

• The pion-pion scattering amplitude. IV: Improved analysis with once subtracted Roy-like equations up to 1100 MeV
• Evidence for a long-range component in the pion emission source in Au+Au collisions at sqrt(s_NN) = 200 GeV
• Bose-Einstein or HBT correlations and the anomalous dimension of QCD

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• Charged Kaon Femtoscopy with Lévy Sources in $\sqrt{s_{\text{NN}}}$ = 200 GeV Au+Au Collisions at PHENIX
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• Three-dimensional sizes and shapes of pion emission in heavy-ion collisions
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• 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
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• Coulomb interacting Bose-Einstein correlations in Fourier space
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