$Y(4260)$ as four-quark state

Abstract

We treat the $Y(4260)$ resonance as a four-quark state in the framework of the covariant confining quark model. We study two choices of the interpolating current, either the molecular-type current which effectively corresponds to the product of $D$ and ${\bar{D}}_1$ quark currents or tetraquark one. In both cases we calculate the widths of decays $Y(4260)\to Z_c(3900)+\pi$ and $Y(4260)\to D^{(\ast )}+{\bar{D}}^{(\ast )}$. It is found that in both approches the mode $Y\to Z_c^{+}+{\pi }^{-}$ is enhanced compared with the open charm modes. However the absolute value of the $Y\to Z_c^{+}+{\pi }^{-}$ decay width obtained in molecular picture is arguably too large. On the other hand the value obtained in tetraquark picture is reasonable.

Comments: 12 pages, 1 figure