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 $4.33^{ +0.16}_{ -0.23}~\mbox{ GeV}$ in the framework of QCD sum rules. We suggest that the predicted $Y$ state could be looked for in an open-charm $e^{ +}e^{ -}\rightarrow\bar{ D}D_{ 1}(2420)+c.c.$ process.
Categories: hep-ph hep-ex