Three body open flavor decays of higher charmonium and bottomonium

Abstract

In the present work, we study the OZI-allowed three body open flavor decay properties of higher vector charmonium and bottomonium states with an extended quark pair creation model. For the bottomonium system, we get that (i) the $BB\pi$ and $B^{\ast }{B}^{\ast }\pi$ partial decay widths of the ${\rm Y}(5S)$ state are consistent with the experiment, and the $B{B}^{\ast }\pi$ partial decay width of the ${\rm Y}(5S)$ state is smaller but very close to the Belle's experiment. Meanwhile, (ii) the $B{B}^{\ast }\pi$ and $B^{\ast }{B}^{\ast }\pi$ decay widths of ${\rm Y}(11020)$ can reachs $2\sim 3$ MeV. In addition, (iii) for the most of higher vector charmonium states, the partial decay widths of the $D{D}^{\ast }\pi$ and $D^{\ast }{D}^{\ast }\pi$ modes can reach up to several MeV, which may be observed in future experiments.

Comments: 12 pages, 4 figures; revised version accepted by PRD