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

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

2007-10-17

arxiv.org/abs/0710.3339v3

Phys.Rev.D76:125013,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

Minor corrections and References added;to appear in PRD

Scientific paper

10.1103/PhysRevD.76.125013

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.

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