  We construct a smooth axially symmetric solution to the classical one phase
free boundary problem in $\mathbb{R}^{N}$. Its free boundary is of
\textquotedblleft catenoid\textquotedblright\ type. This is a higher
dimensional analogy of the Hauswirth-Helein-Pacard solution in $\mathbb{R}%
^{2}$ (\cite{Pacard}). The existence of such solution is conjectured in \cite
[Remark 2.4]{Pacard}.
