Looking for a vector charmonium-like state $Y$ in $e^{+}e^{-}\rightarrow\bar{D}D_{1}(2420)+c.c.$

TL;DR

This paper predicts a new vector charmonium-like state with a specific tetraquark configuration, estimating its mass using QCD sum rules, and suggests searching for it in open-charm electron-positron collisions.

Contribution

The paper introduces a novel prediction of a vector charmonium-like state with a P-wave scalar-scalar tetraquark structure and calculates its mass spectrum.

Findings

Predicted mass of the Y state is approximately 4.33 GeV.

Proposes searching for the Y state in $e^{+}e^{-} ightarrow ar{D} D_{1}(2420)+c.c.$ processes.

Provides a theoretical framework for identifying new exotic states in charmonium spectrum.

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 $4.33^{+0.16}_{-0.23}~\mbox{GeV}$ 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.