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The Shape of the Correlation Function

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Abstract

The correlation function measured in ultrarelativistic nuclear collisions is non-Gaussian. By making use of models we discuss and assess how much various effects can influence its shape. In particular, we focus on the parametrisations expressed with the help of Lévy-stable distributions. We show that the Lévy index may deviate substantially from 2 due to non-critical effects such as non-spherical shape, resonance decays, event-by-event fluctuations and functional dependence on \({{Q}_{{{\text{inv}}}}}\) or similar.

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ACKNOWLEDGMENTS

This work was supported by the grant 17-04505S of the Czech Science Foundation (GAČR). BT also acknowledges support from VEGA 1/0348/18 (Slovakia). CP is funded by the CLASH project (KAW 2017-0036) and gratefully acknowledges the use of computing resources from both the Minnesota Supercomputing Institute (MSI) at the University of Minnesota and the Ohio Supercomputer Center [11] which contributed to the research results reported within this proceedings.

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Correspondence to J. Cimerman, B. Tomášik or Ch. Plumberg.

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Cimerman, J., Tomášik, B. & Plumberg, C. The Shape of the Correlation Function. Phys. Part. Nuclei 51, 282–287 (2020). https://doi.org/10.1134/S1063779620030077

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