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

Using data samples collected with the BESIII detector operating at the BEPCII storage ring, we measure the cross sections of the e(+)e(-) -> pi(+)pi-D+D- 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 +/- 2.5 +/- 9.2) MeV/c(2) and (167 +/- 4 +/- 29) MeV, respectively, which are in agreement with those of the psi(4360) or Y(4390) state. The spin-3D-wave charmonium state X(3842) is searched for through the e(+)e(-) -> pi(+)pi X-(3842) -> pi(+)pi-D+D- process, and evidence with a significance of 4.2 sigma is found in the data samples with center-of-mass energies from 4.6 to 4.7 GeV.