One-, two-, and three-particle distributions from $158A\mathrm{GeV}/c$ central Pb+Pb collisions

Several hadronic observables have been studied in central $158A\hspace{0.5em}\mathrm{GeV}$ Pb+Pb collisions using data measured by the WA98 experiment at CERN: single ${\pi }^{-}$ and $K^{-}$ production, as well as two- and three-pion interferometry. The Wiedemann-Heinz hydrodynamical model has been fitted to the pion spectrum, giving an estimate of the temperature and transverse flow velocity. Bose-Einstein correlations between two identified ${\pi }^{-}$ have been analyzed as a function of $k_T,$ using two different parametrizations. The results indicate that the source does not have a strictly boost invariant expansion or spend time in a long-lived intermediate phase. A comparison between data and a hydrodynamical based simulation shows very good agreement for the radii parameters as a function of $k_T.$ The pion phase-space density at freeze-out has been measured, and agrees well with the Tomás̆ik-Heinz model. A large pion chemical potential close to the condensation limit of $m_{\pi }$ seems to be excluded. The three-pion Bose-Einstein interferometry shows a substantial contribution of the genuine three-pion correlation, but not quite as large as expected for a fully chaotic and symmetric source.