Belle J/psi+eta_c anomaly and a very light scalar boson

Abstract

The large rate of the $J/\psi+\eta_c$ production observed by the Belle collaboration has posed a serious challenge to our understanding of the quarkonium. We examine a scenario that there exists a light scalar boson around 5 GeV, with an enhanced coupling solely to the charm quark. Such a scenario would explain the Belle anomaly. It also predicts a significant increase in $J/\psi$ plus open charm pair production. An immediate test for the scalar boson is to look for a peak around 5 GeV in the recoil mass spectrum of $J/\psi$, because the scalar boson can also be produced in association with the $J/\psi$. Finally, we also point out that the process $e^+ e^- \to H \gamma$ is sizable for observation.