This Letter reports a search for non standard model topquark resonances, , decaying to %\rightarrow qq’b qq’ \bar{b}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 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 fb. 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 with width of . Within this model, we exclude boson with masses below 805 GeV at the 95% confidence level.

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