  The possibility of formation for a bound state of a $t$ quark and a lighter
one is investigated using potential model predictions and heavy quark effective
theory approach. Resulting estimates for the 1S--2S splitting of the energy
levels are compared to the total top decay width $\Gamma_t$ . As for the case
of toponium, our conclusions show that the probability of formation for
T-mesons is negligibly small due to the high top mass value.
