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Three-charge-particle collisions with participation of ultra-slow antiprotons($\bar{\rm{p}}$) is the subject of this work. Specifically we compute the totalcross sections and corresponding thermal rates of the following three-bodyreactions: $\bar{\rm p}+(e^+e^-) \rightarrow \bar{\rm{H}} + e^-$ and $\bar{\rmp}+(\mu^+\mu^-) \rightarrow \bar{\rm{H}}_{\mu} + \mu^-$, where $e^-(\mu^-)$ isan electron (muon) and $e^+(\mu^+)$ is a positron (antimuon) respectively,$\bar{\rm{H}}=(\bar{\rm p}e^+)$ is an antihydrogen atom and$\bar{\rm{H}}_{\mu}=(\bar{\rm p}\mu^+)$ is a muonic antihydrogen atom, i.e. abound state of $\bar{\rm{p}}$ and $\mu^+$. A set of two-coupled few-bodyFaddeev-Hahn-type (FH-type) equations is numerically solved in the framework ofa modified close-coupling expansion approach.

Antiproton low-energy collisions with Ps-atoms and true muonium atoms ($\mu^+\mu^-$)