Heavy quarks in a spherical bag

We use the vector meson $\Upsilon \mathrm{}\left(9460\right)\mathrm{}$ as input to the fixed-sphere MIT bag model. Among our results are a mass of 4700 MeV for the $b$ quark, a zero-point energy that is a function of the heaviest quark mass inside the baġ, and predictions for masses of the ground-state $b$-flavored hadrons. Series expansions of the bag equations for heavy quarks are employed. Improvement of the spectrum of ground-state hadrons in the charm sector is achieved.