Investigation of the bottomonium ground state \eta_b via its inclusive charm decays

Based on the non-relativistic QCD factorization formalism, we calculate the bottomonium ground state, ${\eta }_b$, inclusive charm decays at the leading order in the strong coupling constant ${\alpha }_s$ and quarkonium internal relative velocity $v$. The inclusive charm pair production in ${\eta }_b$ decay is mainly realized through ${\eta }_b\to c\bar{c}g$ process, where the charm and anti-charm quarks then dominantly hadronize into charmed hadrons. The momentum distributions of the final states are presented. In this work, we also calculate the $J\mathrm{/}\psi$ inclusive production rate in the ${\eta }_b$ decays, where the color-octet contribution is found to be very important. We expect this study may shed some light on finding ${\eta }_b$ or knowing more about its nature.