Analysis of the decay $Y(4500)\to D^{\ast }{\bar{D}}^{\ast }\pi$ with the light-cone QCD sum rules

Abstract

In this work, we tentatively assign the $Y(4500)$ as the $[uc{]}_{\tilde{A}}[\overline{uc}{]}_V+[uc{]}_V[\overline{uc}{]}_{\tilde{A}}+[dc{]}_{\tilde{A}}[\overline{dc}{]}_V+[dc{]}_V[\overline{dc}{]}_{\tilde{A}}$ tetraquark state with the quantum numbers $J^{PC}=1^{--}$, and study the three-body strong decay $Y(4500)\to D^{\ast -}{D}^{\ast 0}{\pi }^{+}$ with the light-cone QCD sum rules. It is the first time to use the light-cone QCD sum rules to calculate the four-hadron coupling constants, the approach can be extended to study other three-body strong decays directly and diagnose the $X$, $Y$ and $Z$ states.

Comments: 11 pages, 3 figure