  In this work, we investigate the production of $X_b$ in the process
$\Upsilon(5S,6S)\to \gamma X_b$, where $X_b$ is assumed to be the counterpart
of $X(3872)$ in the bottomonium sector as a $B {\bar B}^*$ molecular state. We
use the effective Lagrangian based on the heavy quark symmetry to explore the
rescattering mechanism and calculate their production ratios. Our results have
shown that the production ratios for the $\Upsilon(5S,6S) \to \gamma X_b$ are
orders of $10^{-5}$ with reasonable cutoff parameter range $\alpha \simeq 2\sim
3$. The sizeable production ratios may be accessible at the future experiments
like forthcoming BelleII, which will provide important clues to the inner
structures of the exotic state $X_b$.

High Energy Physics - Phenomenology