  Three body systems with short-range interactions display universal features
that have been extensively explored in atomic physics, but apply to hadron
physics as well. Systems composed of two non-interacting identical particles
(species H) of mass $M$ and a third particle (species P) of mass $m$ that
interacts attractively with the other two have the property that they are more
likely to bind for larger values of the mass ratio $M/m$. This is particularly
striking if the HHP system is in P-wave (while the interacting pair is in
S-wave), in which case one would not normally expect the formation of a three
body state. If we assume that the $B^* \bar{K}$ binds to form the $B^*_{s1}$
heavy meson and notice that the mass ratio of the $B^*$ to $\bar{K}$ is $M /m =
10.8$, concrete calculations indicate that there should be a three body $B^*
B^* \bar{K}$ bound state between $30-40\,{\rm MeV}$ below the $B^*_{s1} B^*$
threshold. For the $\Xi_{bb} \Xi_{bb} \bar{K}$ system the mass imbalance is
about $M /m = 20.5$ and two bound states are expected to appear, a fundamental
and an excited one located at $50-90$ and $5-15\,{\rm MeV}$ below the $\Xi_{bb}
\Omega^*_{bb\frac{1}{2}}$ threshold (where $\Omega^*_{bb\frac{1}{2}}$ denotes
the $\Xi_{bb} \bar{K}$ bound state). We indicate the possibility of analogous
P-wave three body bound states composed of two heavy baryons and a kaon or
antikaon and investigate the conditions under which the Efimov effect could
appear in these systems.
