Abstract

In the present work the $Y(4260)$ resonance is considered as a weakly bound state of a pseudoscalar $D$ and an axial ${D}_{1}$ charm meson. We consider the two-body decay $Y(4260)\ensuremath{\rightarrow}{Z}_{c}(3900{)}^{\ifmmode\pm\else\textpm\fi{}}+{\ensuremath{\pi}}^{\ensuremath{\mp}}$, where ${Z}_{c}(3900{)}^{\ifmmode\pm\else\textpm\fi{}}$ is treated as hadron molecule as well. Moreover we compute the $Y(4260)$ decay modes $J/\ensuremath{\psi}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$, recently observed by the BESIII Collaboration, and $\ensuremath{\psi}(2S){\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$. In the last process both the contact diagram with $D{D}_{1}\ensuremath{\rightarrow}\ensuremath{\psi}(nS){\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ and the resonance diagram with $D{D}_{1}\ensuremath{\rightarrow}{Z}_{c}(3900{)}^{\ifmmode\pm\else\textpm\fi{}}+{\ensuremath{\pi}}^{\ensuremath{\mp}}\ensuremath{\rightarrow}\ensuremath{\psi}(nS){\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ are taken into account.

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