Abstract
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.
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