  We employ the Born-Oppenheimer approximation to find the effective potential
in a three-body system consisting of a light particle and two heavy ones when
the heavy-light short-range interaction potential has a resonance corresponding
to a non-zero orbital angular momentum. In the case of an exact resonance in
the p-wave scattering amplitude, the effective potential is attractive and
long-range, namely it decreases as the third power of the inter-atomic
distance. Moreover, we show that the range and power of the potential, as well
as the number of bound states are determined by the mass ratio of the particles
and the parameters of the heavy-light short-range potential.
