Search for New Particles Decaying to $\mathit{t}\overline{t}$ in $\mathit{p}\overline{p}$ Collisions at $\surd \mathit{s}=1.8\mathrm{TeV}$

We use $106\mathrm{pb}{}^{-1\mathrm{}}$ of data collected with the Collider Detector at Fermilab to search for narrow-width, vector particles decaying to a top and an antitop quark. Model independent upper limits on the cross section for narrow, vector resonances decaying to $t\overline{t}$ are presented. At the $95\%$ confidence level, we exclude the existence of a leptophobic $Z^{\prime }$ boson in a model of top-color-assisted technicolor with mass $M_{Z^{\prime }}<480\mathrm{GeV}{/c}^2$ for natural width $\Gamma {=0.012M}_{Z^{\prime }}$, and $M_{Z^{\prime }}<780\mathrm{GeV}{/c}^2$ for $\Gamma {=0.04M}_{Z^{\prime }}$.