Are η- and ω-nuclear states bound ?

We investigate theoretically whether it is feasible to detect η- and ω-nucleus bound states. As well as the closed shell nuclei, 16O, 40Ca, 90Zr and 208Pb, we also investigate 6He, 11B and 26Mg, which are the final nuclei in the proposed experiment involving the (d,3He) reaction at GSI. Potentials for the η and ω mesons in these nuclei are calculated in local density approximation, embedding the mesons in the nucleus described by solving the mean-field equations of motion in the QMC model. Our results suggest that one should expect to find η- and ω-nucleus bound states in all these nuclei.