Observation of $e^{+}e^{-}\rightarrow π^{+}π^{-}ψ(3770)$ and $D_{1}(2420)^{0}\bar{D}^{0} + c.c.$

Abstract

Several intermediate states of the reaction channels $e^{+}e^{-} \rightarrow π^{+} π^{-} D^{0} \bar{D}^{0}$ and $e^{+}e^{-} \rightarrow π^{+} π^{-} D^{+}D^{-}$ are studied using the data samples collected with the BESIII detector at center-of-mass energies above 4.08 GeV. For the first time in this final state, a $ψ(3770)$ signal is seen in the $D\bar{D}$ invariant mass spectrum, with a statistical significance of $5.2σ$ at $\sqrt{s} = 4.42$ GeV. There is also evidence for this resonance at $\sqrt{s}$ = 4.26 and 4.36 GeV with statistical significance of 3.2$σ$ and 3.3$σ$, respectively. In addition, the Born cross section of $e^{+}e^{-}\to π^{+}π^{-}ψ(3770)$ is measured. The proposed heavy-quark-spin-symmetry partner of the $X(3872)$, the state $X_{2}(4013)$, is also searched for in the $D\bar{D}$ invariant mass spectra. No obvious signal is found. The upper limit of the Born cross section of the process $e^{+}e^{-}\to ρ^{0}X_{2}(4013)$ combined with the branching fraction is measured. Also, the processes $e^{+}e^{-}\to D_{1}(2420)\bar{D} + c.c.$ are investigated. The neutral mode with $D_{1}(2420)^{0}\to D^{0}π^{+}π^{-}$ is reported with statistical significance of 7.4$σ$ at $\sqrt{s} = 4.42$ GeV for the first time, and evidence with statistical significance of 3.2$σ$ and 3.3$σ$ at $\sqrt{s}$ = 4.36 and 4.60 GeV is seen, respectively. No evident signal for the process $e^{+}e^{-}\to D_{1}(2420)^{0}\bar{D}^{0} + c.c., D_{1}(2420)^{0}\to D^{*+}π^{-}$ is reported. Evidence for $e^{+}e^{-}\to D_{1}(2420)^{+}D^{-} +~c.c., D_{1}(2420)^{+}\to D^{+}π^{+}π^{-}$ is reported with statistical significance of 3.1$σ$ and 3.0$σ$ at $\sqrt{s}$ = 4.36 and 4.42 GeV, respectively.