Looking for a vector charmonium-like state $Y$ in $e^{+}{e}^{-}\to \bar{D}{D}_1(2420)+c.c.$

Abstract

Inspired by the first observation of a vector charmonium-like state $Y(4626)$ decaying to a meson pair $D_s^{+}{D}_{s1}(2536{)}^{-}$, which could be viewed as a $P$-wave scalar-scalar $[cs][\bar{c}\bar{s}]$ tetraquark state, we predict a potential vector charmonium-like state $Y$ with $P$-wave scalar-scalar $[cq][\bar{c}\bar{q}]$ configuration. The corresponding mass spectrum of $Y$ state is calculated to be $4.33_{-0.23}^{+0.16}\text{mbox}GeV$ in the framework of QCD sum rules. We suggest that the predicted $Y$ state could be looked for in an open-charm $e^{+}{e}^{-}\to \bar{D}{D}_1(2420)+c.c.$ process.

Comments: 7 pages, 4 figures; the version accepted for publication in Phys. Rev. D