  Three-charge-particle collisions with participation of ultra-slow antiprotons
($\bar{\rm{p}}$) is the subject of this work. Specifically we compute the total
cross sections and corresponding thermal rates of the following three-body
reactions: $\bar{\rm p}+(e^+e^-) \rightarrow \bar{\rm{H}} + e^-$ and $\bar{\rm
p}+(\mu^+\mu^-) \rightarrow \bar{\rm{H}}_{\mu} + \mu^-$, where $e^-(\mu^-)$ is
an 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. a
bound state of $\bar{\rm{p}}$ and $\mu^+$. A set of two-coupled few-body
Faddeev-Hahn-type (FH-type) equations is numerically solved in the framework of
a modified close-coupling expansion approach.
