Investigation of the bottomonium ground state η_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 $J/\psi$ 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.