We have estimated for the first time the mass shifts of the $\Upsilon$ and $\eta_b$ mesons in symmetric nuclear matter by an SU(5) flavor symmetric effective Lagrangian approach, as well as the
in-medium mass of $B^*$ meson by the quark-meson coupling (QMC) model.
The attractive potentials for the $\Upsilon$- and $\eta_b$-nuclear matter are obtained, and one can expect for these mesons to form nuclear bound states.
We have indeed found such nuclear bound states with $^{12}$C nucleus,
where the results for the $^{12}$C nucleus bound state energies are new, and we report here for the first time.
