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In the topcolor-assistant technicolor (TC2) model, the typical physicalparticles, top-pions and top-Higgs, are predicted and the existence of theseparticles could be regarded as the robust evidence of the model. Theseparticles are accessible at the Tevatron and LHC, and furthermore theflavor-changing(FC) feature of the TC2 model can provide us a unique chance toprobe them. In this paper, we study some interesting FC production processes oftop-pions and top-Higgs at the Tevatron and LHC, i.e., $c\Pi_{t}^{-}$ and$c\Pi_{t}^{0}(h_{t}^{0})$ productions. We find that the light charged top-pionsare not favorable by the Tevatron experiments and the Tevatron has a littlecapability to probe neutral top-pion and top-Higgs via these FC productionprocesses. At the LHC, however, the cross section can reach the level of$10\sim 100$ pb for $c\Pi_t^-$ production and $ 10\sim 100$ fb for$c\Pi_t^0(h_t^0)$ production. So one can expect that enough signals could beproduced at the LHC experiments. Furthermore, the SM background should be cleandue to the FC feature of the processes and the FC decay modes $\Pi_t^-\tob\bar{c}, \Pi_t^0(h_t^0)\to t\bar{c}$ can provide us the typical signal todetect the top-pions and top-Higgs. Therefore, it is hopeful to find the signalof top-pions and top-Higgs with the running of the LHC via these FC processes.Comment: 12 pages, 6 figure

The productions of the top-pions and top-Higgs associated with the charm quark at the hadron colliders