We present a search for the pair-production of a non-standard-model strongly-interacting particle that decays to a pair of quarks or gluons, leading to a final state with four hadronic jets. We consider both non-resonant production via an intermediate gluon as well as resonant production via a distinct non-standard-model intermediate strongly-interacting particle. We use data collected by the CDF experiment in proton-antiproton collisions at TeV corresponding to an integrated luminosity of 6.6 fb. We find the data to be consistent with standard model predictions. We report limits on {\it jjjj} as a function of the masses of the hypothetical intermediate particles. Upper limits on the production cross sections for non-standard-model particles in several resonant and non-resonant processes are also derived.

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