$\mathrm{{\rm Y}}$ and ${\eta }_b$ nuclear bound-state energies are calculated for various nuclei, neglecting any possible effects of the widths. Essential input for the calculations, namely, the medium-modified $B$ and $B^{*}$ meson masses, as well as the density distributions in nuclei, are calculated within the quark-meson coupling (QMC) model. The attractive potentials for the $\mathrm{{\rm Y}}$ and ${\eta }_b$ mesons in nuclei are calculated from the mass shifts of these mesons in nuclear matter in the local density approximation. These potentials originate from the in-medium enhanced $BB$ and $B{B}^{*}$ loops in their respective self-energy. After an extensive analysis we conclude that our results suggest that the $\mathrm{{\rm Y}}$ and ${\eta }_b$ mesons should form bound states with all the nuclei considered.

• Received 14 January 2022
• Accepted 1 February 2022

DOI:https://doi.org/10.1103/PhysRevC.105.025204