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

TL;DR

This paper investigates the nature of the $Y(4230)$ and $Y(4360)$ states by examining their production as hadronic molecules in B decays, using the triangle diagram mechanism and decay constants.

Contribution

It proposes a novel approach to identify the molecular nature of $Y(4230)$ and $Y(4360)$ through their decay constants in B decays, linking heavy-quark spin symmetry to their structure.

Findings

Decay constants can clarify the molecular nature of $Y(4230)$ and $Y(4360)$.

Heavy-quark spin symmetry supports the molecular interpretation.

Triangle diagram mechanism explains production in B decays.

Abstract

Vector charmonium states can be directly produced in 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 recent studies have indicated that they have strong couplings to $D\bar{D}_1$ and $D^*\bar{D}_1$. In this work, we investigate the production 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 useful for clarifying their nature.