Exploring the nature of $Y(4230)$ and $Y(4360)$ in B decays

Abstract

The vector charmonium states can be directly produced at the $e^+e^{-}$ annihilation process. Among them, $Y(4230)$ and $Y(4360)$ splitting from the previously discovered $Y(4260)$ are not easily arranged into the conventional charmonium spectrum, while the recent studies indicated that they have strong couplings to $D\bar{D}_1$ and $D^*\bar{D}_1$. In this work, we investigate the productions of $Y(4230)$ and $Y(4360)$ as the heavy quark spin symmetry doublet hadronic molecules of $D\bar{D}_1$ and $D^*\bar{D}_1$ in $B$ decays via the triangle diagram mechanism. In particular, we propose that the decay constants of $Y(4230)$ and $Y(4360)$ extracted in $B$ decays are helpful to clarify their nature.