We present the results of meson time-like modes in a dense baryonic me
dium. The model used is the Nambu-Jona-Lasinio model extended to inclu
de vector mesons. We find results for the pi-, sigma-, omega- and a1-m
eson time-like modes. We use the same extrapolation technique we have
already used to avoid the impossibility of putting heavy mesons on-she
ll. Vector-meson modes split into a longitudinal and a transverse mode
. The sigma-mode mixes with the longitudinal omega-mode.