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

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 $Y(4260)\to D^{\ast }{\bar{D}}^{\ast }$, which can be tested in the future experiments.

Comments: 8 pages, 6 figures; The width effects of Y(4260) considered; Revised version accepted by Phys. Rev. D