Investigations on the charmless decays of $Y(4260)$

Apart from the charmful decay channels of $Y(4260)$, the charmless decay channels of $Y(4260)$ also provide us a good platform to study the nature and the decay mechanism of $Y(4260)$. In this paper, we propose to probe the structure of $Y(4260)$ through the charmless decays $Y(4260)\to VP$ via intermediate $D_1\bar{D}+c\mathrm{.}c\mathrm{.}$ meson loops, where $V$ and $P$ stand for light vector and pseudoscalar mesons, respectively. Under the molecule ansatz of $Y(4260)$, the predicted total branching ratio $B{R}_{VP}$ for all $Y(4260)\to VP$processesareabout$(0.34^{+0.32}{-0.23})%$to$(0.75^{+0.72}{-0.52})%$withthecutoffparameter$\alpha=2\sim 3$. Numerical results show that the intermediate $D_1\bar{D}+c\mathrm{.}c\mathrm{.}$ meson loops may be a possible transition mechanism in the $Y(4260)\to VP$ decays. These predicted branching ratios are the same order to that of $Y(4260)\to Z_c^{+}(3900){\pi }^{-}$, which may be an evidence of $D_{1}D$ molecule and can be examined by the forthcoming BESIII data in the near future.