  The spectra of the scalar ($\sigma$) and vector ($\omega$) mesons in nuclear
matter are studied in detail using the quark-meson coupling (QMC) model. It is
shown that above normal nuclear matter density the effects of $\sigma$-$\omega$
mixing and the decay of the $\sigma$ into $2\pi$ change the spectra of $\sigma$
and $\omega$ mesons considerably. As in Quantum Hadrodynamics we find a
remarkable spectral change in the $\sigma$ meson and the longitudinal mode of
the $\omega$ meson, namely a two-peak structure.
