Top-quark-charm-quark strong flavor-changing neutral currents at the Fermilab Tevatron

The possibility of an anomalous coupling between the top and charm quarks and the gluon field is explored in a model-independent way using an effective Lagrangian that is gauge invariant under a nonlinear realization of $\mathrm{SU}{\mathrm{}\left(3\right)\mathrm{}}_C\times \mathrm{SU}{\mathrm{}\left(2\right)\mathrm{}}_L\times \mathrm{U}{\mathrm{}\left(1\right)\mathrm{}}_Y$. Even for the current 200 ${\mathrm{pb}}^{-1\mathrm{}}$ of integrated luminosity at the Fermilab Tevatron, the new physics scale that strongly modifies the coupling of $t-c-g$ must be larger than about 2.5 TeV if no signal is found within a $3\sigma$ confidence limit. For 1 ${\mathrm{fb}}^{-1\mathrm{}}$ of data, this constraint can be pushed up to 3.8 TeV.