Study of $e^{+}e^{-} \to D^{+} D^{-} \pi^{+} \pi^{-} $ at center-of-mass energies from 4.36 to 4.60 GeV

TL;DR

This study investigates the process $e^{+}e^{-} o D^{+} D^{-} \pi^{+} \pi^{-}$ at energies 4.36-4.60 GeV, measuring the properties of the $D_{1}(2420)^+$ and cross sections for related production channels.

Contribution

First measurement of the $D_{1}(2420)^+$ properties and cross sections for $e^{+}e^{-}$ to $D^{+} D^{-} \pi^{+} \\pi^{-}$ processes at these energies.

Findings

Observed $D_{1}(2420)^+$ in the $D^{+} \\pi^{+} \\pi^{-}$ spectrum.

Measured mass and width of $D_{1}(2420)^+$ as 2427.2 MeV/c^2 and 23.2 MeV.

Determined cross sections for $e^{+}e^{-} o D_{1}(2420)^+ D^-$ and $e^{+}e^{-} o \\psi(3770) \\pi^{+} \\pi^{-}$.

Abstract

We report a study of the $e^{+}e^{-} \to D^{+} D^{-} \pi^{+} \pi^{-}$ process using $e^{+}e^{-}$ collision data samples with an integrated luminosity of $2.5\,\rm{fb}^{-1}$ at center-of-mass energies from 4.36 to $4.60 \rm{GeV}$, collected with the BESIII detector at the BEPCII storage ring. The $D_{1}(2420)^+$ is observed in the $D^{+} \pi^{+} \pi^{-}$ mass spectrum. The mass and width of the $D_{1}(2420)^+$ are measured to be $(2427.2\pm 1.0_{\rm stat.}\pm 1.2_{\rm syst.}) \rm{MeV}/c^2$ and $(23.2\pm 2.3_{\rm stat.} \pm2.3_{\rm syst.}) \rm{MeV}$, respectively. The first errors are statistical and the second ones are systematic. In addition, the Born cross sections of the $e^{+}e^{-} \to D_{1}(2420)^+D^- + c.c. \to D^{+} D^{-} \pi^{+} \pi^{-}$ and $e^{+}e^{-} \to \psi(3770) \pi^{+} \pi^{-} \to D^{+} D^{-} \pi^{+} \pi^{-}$ processes are measured as a function of the center-of-mass energy.