  We explore the possible occurrence of $\sigma$-$\omega$ condensation in the
Quantum Hadro-Dynamics (QHD), namely the Serot and Walecka model, finding that
at the mean field level it corresponds to a critical value of the coupling
constant $g_\sigma=8.828$ and density $k_F=207.2$ MeV/c, significantly below
the standard value of QHD.
