Heavy quark spin partners of the $Y(4260)$ in coupled-channel formalism

TL;DR

This paper investigates the heavy quark spin partners of the $Y(4260)$, proposing molecular configurations based on coupled-channel analysis and heavy quark spin symmetry, and explores their decay patterns and coupling behaviors.

Contribution

It introduces a coupled-channel formalism to analyze heavy quark spin partners of $Y(4260)$, identifying $D_1 ar{D}^*$ as a likely molecular partner and examining their coupling and decay properties.

Findings

$D_1 \bar{D}^*$ couples strongly near its threshold.

$Y(4360)$ is likely a $D_1 \bar{D}^*$ molecule.

$\psi(4415)$ strongly couples with $D_2^* \bar{D}^*$.

Abstract

The charmoniumlike state $Y(4260)$ is described as predominantly a $D_1 \bar{D}$ molecule in a coupled-channel quark model [Phys.\,Rev.\,D\,\textbf{96},\,114022\,(2017)]. The heavy quark spin symmetry (HQSS) thus implies the possible emergence of its heavy quark spin partners with molecular configuration as $D_1 \bar{D}^*$ and $D_2^* \bar{D}^*$ below these charmed mesons' thresholds. We analyze the probabilities of various intermediate charmed meson loops for $J^{PC}=1^{--}$ exotic state $Y(4360)$ and find that the channel $D_1 \bar{D}^*$ couples more strongly around its mass regime, and the coupling behavior remains the same even if the mass of $Y(4360)$ is pushed closer to $D_1 \bar{D}^*$ threshold. This enlightens that the most favorable molecular scenario for the $Y(4360)$ could be $D_1 \bar{D}^*$, and hence it can be interpreted as HQSS partner of the $Y(4260)$. We also find the strong coupling behavior of $D_2^* \bar{D}^*$ channel with the $\psi(4415)$, which makes it a good candidate for a dominant $D_2^* \bar{D}^*$ molecule. We discuss the important decay patterns of these resonances to disentangle their long- and short-distance structures.