Measurement of e+e−→π+π−D+D− cross sections at center-of-mass energies from 4.190 to 4.946 GeV

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Abstract

Using data samples collected with the BESIII detector operating at the BEPCII storage ring, we measure the cross sections of the ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}{D}^{+}{D}^{\ensuremath{-}}$ process at center-of-mass energies from 4.190 to 4.946 GeV with a partial reconstruction method. Resonance structures are seen and the cross section line shape can be described by the coherent sum of either two Breit-Wigner functions or a Breit-Wigner function and a phase space term. The mass and width of the resonance at about 4.4 GeV are determined to be $(4371.6\ifmmode\pm\else\textpm\fi{}2.5\ifmmode\pm\else\textpm\fi{}9.2)\text{ }\mathrm{MeV}/{c}^{2}$ and $(167\ifmmode\pm\else\textpm\fi{}4\ifmmode\pm\else\textpm\fi{}29)\text{ }\mathrm{MeV}$, respectively, which are in agreement with those of the $\ensuremath{\psi}(4360)$ or $Y(4390)$ state. The spin-$3D$-wave charmonium state $X(3842)$ is searched for through the ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}X(3842)\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}{D}^{+}{D}^{\ensuremath{-}}$ process, and evidence with a significance of $4.2\ensuremath{\sigma}$ is found in the data samples with center-of-mass energies from 4.6 to 4.7 GeV.

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