Search for resonant production of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>t</mml:mi><mml:mover accent="true"><mml:mi>t</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:math>decaying to jets in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi><mml:mover accent="true"><mml:mi>p</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:math>collisions at<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msqrt><mml:mi>s</mml:mi></mml:msqrt><mml:mo mathvariant="bold">=</mml:mo><mml:mn>1.96</mml:mn><mml:mtext> </mml:mtext><mml:mtext> </mml:mtext><mml:mi>TeV</mml:mi></mml:math>

This paper reports a search for nonstandard model topquark resonances, ${Z}^{\ensuremath{'}}$, decaying to $t\overline{t}\ensuremath{\rightarrow}{W}^{+}b{W}^{\ensuremath{-}}\overline{b}$, where both $W$ decay to quarks. We examine the top-antitop quark invariant mass spectrum for the presence of narrow resonant states. The search uses a data sample of $p\overline{p}$ collisions at a center of mass energy of 1.96 TeV collected by the CDF II detector at the Fermilab Tevatron, with an integrated luminosity of $2.8\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$. No evidence for top-antitop quark resonant production is found. We place upper limits on the production cross section times branching ratio for a specific topcolor assisted technicolor model in which the ${Z}^{\ensuremath{'}}$ has a width of ${\ensuremath{\Gamma}}_{{Z}^{\ensuremath{'}}}=0.012{M}_{{Z}^{\ensuremath{'}}}$. Within this model, we exclude a ${Z}^{\ensuremath{'}}$ boson with masses below $805\text{ }\text{ }\mathrm{GeV}/{c}^{2}$ at the 95% confidence level.

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