$ψ(3770)$ and $B$ meson exclusive decay $B \to ψ(3770) K$ in QCD factorization

Details $ψ(3770)$ and $B$ meson exclusive decay $B \to ψ(3770) K$ in QCD factorization $ψ(3770)$ and $B$ meson exclusive decay $B \to ψ(3770) K$ in QCD factorization

2006-06-04

arxiv.org/abs/hep-ph/0606044v2

Eur.Phys.J.A28:361-367,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

journal version

Scientific paper

10.1140/epja/i2006-10059-y

Belle has observed surprisingly copious production of $\psi(3770)$ in $B$ meson decay $B\to \psi(3770)K$, of which the rate is comparable to that of $B\to \psi(3686)K$. We study this puzzling process in the QCD factorization approach with the effect of S-D mixing considered. We find that the soft scattering effects in the spectator interactions play an essential role. With a proper parametrization for the higher twist soft end-point singularities associated with kaon, and with the S-D mixing angle $\theta=-12^{\circ}$, the calculated decay rates can be close to the data. Implications of these soft spectator effects to other charmonium production in $B$ exclusive decays are also emphasized.

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