Investigating possible decay modes of $Y(4260)$ under the $D_1(2420)\bar D +c.c$ molecular state ansatz

TL;DR

This paper explores the decay modes of the $Y(4260)$ particle assuming it is a $D_1(2420)ar D$ molecular state, highlighting the importance of meson loops and coupled channel effects in its decay processes.

Contribution

It provides a detailed analysis of $Y(4260)$ decay channels under the molecular state hypothesis using an effective Lagrangian approach, emphasizing the role of meson loops and coupled channels.

Findings

Intermediate $D_1 ar D$ meson loops are crucial for decay transitions.

Coupled channel effects significantly influence $Y(4260) o D^{*}ar{D}^{*}$ decays.

Decay ratios depend strongly on the $eta$ parameter, indicating sensitivity to model assumptions.

Abstract

By assuming that $Y(4260)$ is a $D_1\bar D$ molecular state, we investigate some hidden-charm and charmed pair decay channels of $Y(4260)$ via intermediate $D_1\bar D$ meson loops with an effective Lagrangian approach. Through investigating the $\alpha$-dependence of branching ratios and ratios between different decay channels, we show that the intermediate $D_1 \bar D$ meson loops are crucial for driving these transitions of $Y(4260)$ studied here. The coupled channel effects turn out to be more important in $Y(4260) \to D^{*}\bar{D}^{*}$, which can be tested in the future experiments.