A few-body treatment is performed for two low-energy three-body collisions with participation of heavy charge particles such as an antiproton (${\text{\bar p}}$), deuterium (D), tritium (T) and a negative muon (μ–). Specifically, the following reactions are considered: ${\text{\bar p}} + {\left({{\text{D}}{\mu ^ - }} \right)_{{\text{ls}}}} \to {\left({{\text{\bar pD}}} \right)_\alpha } + {\mu ^ - }$ and ${\text{\bar p}} + {\left({{\text{T}}{\mu ^ - }} \right)_{{\text{ls}}}} \to

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... ar pT}}} \right)_\alpha } + {\mu ^ - }$. The final state antinucleon-nucleon (${\text{\bar N}}$N) interaction is included in these calculations and its influence on the cross sections and rates is estimated.