  In this paper, we study several aspects of solitary wave solutions of the
rotation Benjamin-Ono equation. By solving a minimization problem on the line,
we construct a family of even travelling waves $\psi_{c,\gamma}$. We also study
the strong convergence of this family and we establish the uniqueness of
$\psi_{c,\gamma}$ for $\gamma$ small enough. Note that this improves the
results in [5] where the stability of the set of ground states is proven.
