Three -Pion Correlations

Abstract

First of all, we mention the situation of empirical analyses on 3rd order BEC (Bose-Einstein Correlation) at RHIC. Second, we introduce several theoretical formulae / approaches. Third we present our analyses of data in Au+Au at 130 GeV by STAR and preliminary data in Au+Au at 200 GeV by PHENIX Collaborations. Our results also contain analyses by means of core-halo model. Finally, we estimate that the volume of interaction in Au + Au collisions at 130 GeV is 500 fm^3, which is compared with V = R_{long} R_{out} R_{side} \sim 300 fm^3 in Pb + Pb collision at 2.76 TeV by ALICE Collaboration. Moreover, usefullness of empirical analyses on (2\pi^+)\pi^- and (2\pi^-)\pi^+ combinations at RHIC and LHC energies is remarked.