Investigation of the bottomonium ground state η_b via its inclusive charm decays

Abstract

Based on the non-relativistic QCD factorization formalism, we calculate the bottomonium ground state, $η_b$, inclusive charm decays at the leading order in the strong coupling constant $α_s$ and quarkonium internal relative velocity $v$. The inclusive charm pair production in $η_b$ decay is mainly realized through $η_b \to c \bar{c} g$ 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 $J/ψ$ inclusive production rate in the $η_b$ decays, where the color-octet contribution is found to be very important. We expect this study may shed some light on finding $η_b$ or knowing more about its nature.

Minor corrections and References added;to appear in PRD