L\'evy femtoscopy with PHENIX at RHIC

Abstract

In this paper we present the measurement of charged pion two-particle femtoscopic correlation functions in 200 GeV Au+Au collisions, in 31 average transverse mass bins, separately for positive and negative pion pairs. L\'evy-shaped source distributions yield a statistically acceptable description of the measured correlation functions, with three physical parameters: correlation strength parameter lambda, L\'evy index alpha and L\'evy scale parameter R. The transverse mass dependence of these L\'evy parameters is then investigated and their physical interpretation is also discussed, and the appearance of a new scaling variable is observed.