Search for Chargino-Neutralino Production in \ppb\sp Collisions at $\sqrt{s} = 1.8$ TeV

We have searched for chargino-neutralino production (\chichi) in 1.8 TeV \ppb\sp collisions, followed by their leptonic decays \chione\dk\chizero\lnu\psp and \chitwo\dk\chizero\lplm. These trilepton events are expected within a framework of the Minimal Supersymmetric Standard Model (MSSM). In a 19.1 pb$^{-1}$ data sample collected with the Collider Detector at Fermilab, no trilepton events were observed. Upper limits on $\sigma(\ppb\dk\chichi)\cdot BR(\chichi\dk 3 \ell + X)$ were obtained for various MSSM parameter space regions, yielding new 95\% confidence level lower limits for the neutralino (\chitwo) mass which extended as high as 49 \mgev.