Based on the nonrelativistic 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 the ${\eta }_b\to c\overline{c}g$ process, where the charm and anticharm 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.

• Received 19 October 2007

DOI:https://doi.org/10.1103/PhysRevD.76.125013