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Open AccessArticle

Averaging and the Shape of the Correlation Function

1
Faculty of Natural Sciences, Univerzita Mateja Bela, Tajovského 40, 97401 Banská Bystrica, Slovakia
2
FJFI, České vysoké učení technické v Praze, Břehová 7, 11519 Praha 1, Czech Republic
3
Department of Astronomy and Theoretical Physics, Lund University, Sölvegatan 14A, SE-223 62 Lund, Sweden
*
Author to whom correspondence should be addressed.
Universe 2019, 5(6), 148; https://doi.org/10.3390/universe5060148
Received: 30 April 2019 / Revised: 6 June 2019 / Accepted: 11 June 2019 / Published: 13 June 2019
(This article belongs to the Special Issue The Zimányi School and Analytic Hydrodynamics in High Energy Physics)
A brief pedagogical introduction to correlation femtoscopy is given. We then focus on the shape of the correlation function and discuss the possible reasons for its departure from the Gaussian form and better reproduction with a Lévy stable distribution. With the help of Monte Carlo simulations based on asymmetric extension of the Blast-Wave model with resonances we demonstrate possible influence of averaging over many events and integrating over wide momentum bins on the shape of the correlation function. We also show that the shape is strongly influenced by the use of the one-dimensional parametrisation in the q i n v variable. View Full-Text
Keywords: correlation femtoscopy; heavy-ion collisions; Lévy stable parametrisation; event-by-event fluctuations correlation femtoscopy; heavy-ion collisions; Lévy stable parametrisation; event-by-event fluctuations
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Tomášik, B.; Cimerman, J.; Plumberg, C. Averaging and the Shape of the Correlation Function. Universe 2019, 5, 148.

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