$$\varUpsilon $$ and $$\eta _b$$ mass shifts in nuclear matter

We estimate the $\Upsilon$, $\eta_b$ and $B^*$ meson mass shifts in symmetric nuclear matter. The interest is, whether strengths of bottomonium-(nuclear matter) charmonium-(nuclear interactions are similar or different. This is because, each ($J/\Psi,\Upsilon$) ($\eta_c,\eta_b$) group usually assumed to have very properties based on heavy charm bottom quark masses. for $\Upsilon$ made using an SU(5) effective Lagrangian anomalous coupling one, by studying $BB$, $BB^*$, $B^*B^*$ loop contributions self-energy. As $\eta_b$, we include $BB^*$ in-medium masses $B$ mesons appearing self-energy calculated quark-meson model. An analysis loops shift comparing with corresponding $DD, DD^*$, $D^*D^*$ $J/\Psi$ shift. Our prediction including only lowest order loop. shift, $BB$ loop, predicted be -16 -22 MeV at matter saturation density $\Upsilon BB$ constant determined vector dominance model experimental data, while -75 -82 universal constant. results show appreciable difference between interaction strengths. also study a (heavy meson) symmetry limit.