Are eta- and omega-nuclear states bound ?

Abstract

We investigate theoretically whether it is feasible to detect $\eta$- and $\omega$-nucleus bound states. As well as the closed shell nuclei, ${}^{16}$O, ${}^{40}$Ca, ${}^{90}$Zr and ${}^{208}$Pb, we also investigate ${}^6$He, ${}^{11}$B and ${}^{26}$Mg, which are the final nuclei in the proposed experiment involving the (d,${}^3$He) reaction at GSI. Potentials for the $\eta$ and $\omega$ 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 $\eta$- and $\omega$-nucleus bound states in all these nuclei.

Comments: Latex, 14 pages, 3 Postscript figures, text and figures are reduced, version to appear in Phys. Lett. B