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Investigation of femtoscopic correlation functions in relativistic heavy ionreactions is an important tool to access the space-time structure of particleproduction in the sQGP. The shape of the correlation functions is often assumedto be Gaussian, but a detailed analysis reveals that the statistically correctassumption could be the so-called L\'evy distribution. The detailed analysis ofcorrelation functions in various systems may shed light on the location of thecritical endpoint on the QCD phase diagram. It could also reveal if there ispartially coherent pion production or could indicate the possible in-mediummass modification of the $\eta'$ meson due to the (partial) restoration of the$U_A(1)$ axial symmetry. In this paper we present the status of the centralitydependent measurements of two-pion L\'evy Bose-Einstein correlation functionsin Au+Au collisions at PHENIX.

Centrality dependent L\'evy-stable two-pion Bose-Einstein correlations at the PHENIX experiment