Pion interferometry with Lévy-stable sources in \(\sqrt{s_{NN}}\) = 200 GeV Au+Au collisions at STAR

Measurements of femtoscopic correlations in high-energy heavy-ion collisions aim to unravel the space-time structure of the particle-emitting source (the quark-gluon plasma). Recent results indicate that the pion pair source exhibits a power-law behavior and can be described well by a Lévy distribution. In this study, Lévy fits were performed to the measured one-dimensional two-pion correlation functions in Au+Au collisions at \(\sqrt{s_{NN}}\)=200 GeV. The three extracted source parameters are the Lévy scale parameter, \(R\), which relates to the size of the source; the correlation strength parameter, \(\lambda\); and the Lévy exponent, \(\alpha\), which characterizes the power-law tail of the source. In this paper, we report the current status of the analysis of the extracted Lévy source parameters and present their dependence on average transverse mass, \(m_T\), and on centrality.